can someone show me way of solving this​

Can Someone Show Me Way Of Solving This

Answers

Answer 1

Step-by-step explanation:

[tex]f(x) = ln( \frac{1}{x} ) [/tex]

To find the derivative, notice we have a function 1/x inside of another function, ln(x)

We use what we call the chain rule,

It states that

derivative of a '

[tex] \frac{d}{dx} f(g(x)) = f '(g(x)) \times \: g '(x)[/tex]

Here f is ln(x)

f is 1/x

So first, we know that

[tex] \frac{d}{dx} ( ln(x) = \frac{1}{x} [/tex]

so

[tex]f'(g(x)) = \frac{1}{ \frac{1}{x} } [/tex]

We know that

[tex]g'(x) = - \frac{1}{ {x}^{2} } [/tex]

So we have

[tex]x \times - \frac{1}{ {x}^{2} } = \frac{ - 1}{x} [/tex]


Related Questions

Determine the missing side of a rectangle with an area
of 144 cm² and a width of 8 cm. Please show your work.
O

Answers

Answer:

Length is equal to 18

Step-by-step explanation:

The formula for finding the area(A) of a rectangle in Length(L) times width(W): A=(W)(L). If we plug in the given information into the equation, you will get 144=(8)(L). From there we solve for L.

144 = (8)(L)

144/8 = (8)/8 (L)

18 = L

I dont know how to do this

Answers

Answer:

Option C = 78,125

Step-by-step explanation:

First prime factorize 135,

135 = 5×3×3×3

Now prime factorize 128,

128=2×2×2×2×2×2×2 = 2^7

the highest prime factor of 135 is 5,

Let 5 be x

the highest power of the lowest prime factor of 128 which is the power 2 is 7

Let 7 be y

According to the question x^y = 5^7

= 78,125

can someone please help me

Answers

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{3\pi }{4}[/tex] is an angle in the second quadrant where sin > 0 and cos < 0

cos([tex]\frac{3\pi }{4}[/tex] )

= cos (π - [tex]\frac{3\pi }{4}[/tex] )

= - cos ([tex]\frac{\pi }{4}[/tex] )

= - [tex]\frac{\sqrt{2} }{2}[/tex]

and similarly

sin ([tex]\frac{3\pi }{4}[/tex] )

= sin ([tex]\frac{\pi }{4}[/tex] )

= [tex]\frac{\sqrt{2} }{2}[/tex]

When researching for a business report, you should find reliable sources whose information is accurate, unbiased, and .

Answers

Answer:

Creditable

Step-by-step explanation:

Could also be:
up-to-date

What elements in domain has the image 5 under function f(x)= 3x+ 2?

plssssssss heeeeeellllllp me
tomorrow is my test T^T​

Answers

Answer:

Step-by-step explanation:

hello

calculate x : 3x+2 =5

means : 3x+2-2 =5-2

3x = 3

so : x = 3/3 =1

1 is the  element in domain has the image 5 under function f(x)= 3x+ 2

Green’s Sport Shop offers its salespeople an annual salary of $10,000 plus a 6% commission on all sales above $20,000. Every employee receives a Christmas bonus of $500. What are Mr. Cahn’s total earnings in a year in which his sales amounted to $160,000?

(A) $18,900
(B) $18,400
(C) $19,600
(D) $20,100

Answers

Answer:

A

Step-by-step explanation:

His commision was 0.06(160000-20000) = $8400.

His salary was $10,000.

His bonus was $500.

Adding these together, we get $18,900.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the
resulting statements true.
(a) B __ A (b)C __ A (c) B __ C (d) ∅ __ B (e) C __C

Answers

Answer:

Answer

Step-by-step explanation:

(a) B ⊄ A (b) C ⊂ A (c) B ⊄ C (d) ∅ ⊂ B (empty set is an element of any set)

(e) C ⊂ C (reflexitivity).

PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

Answers

The total surface area of the composite figure is calculated as 444 m².

What is the Surface Area of the Composite Figure?

Total surface area = surface area of the bottom rectangular prism + surface area of the top triangular prism - area of the shared surface.

Surface area of the triangular prism = (S1 + S2+ S3)L + bh = (16 + 10 + 10)5 + (6)(16) = 276 m²

Rectangular prism surface area = 2(wl + hl + hw) = 2(5×16 + 4×16 + 4×5) = 328 m²

Area of shared surface = 2(16)(5) = 160 m²

Total surface area = 328 + 276 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

https://brainly.com/question/16581456

#SPJ1

What is the area of the shape?

Answers

Answer: 21 units²

Step-by-step explanation:

Since there is a pair of parallel sides, this figures is a trapezoid. The formula for the area of a trapezoid is [tex]\frac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

Here, a and b are 5 and 9, while 3 is the height. Let's put all 3 values into the formula.

[tex]A=\frac{1}{2}(5+9)*3[/tex]

[tex]A=\frac{1}{2}(14)*3[/tex] [Adding in the parentheses]

[tex]A=7*3[/tex] [Multiplying one-half by 14]

[tex]A=21[/tex] [Multiplying 7 and 3]

The area is 21 units².

Which system of equations below has no solution? y = 4x 5 and y = 4x – 5 y = 4x 5 and 2y = 8x 10 y = 4x 5 and y = one-fourthx 5 y = 4x 5 and y = 8x 10

Answers

Y=4x+5 and y=4x-5 has no solution

What are Linear Equations in two Variables?

The formula for a two-variable linear equation is Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. A linear equation with two variables, for instance, is 7x + 9y + 4 = 0. These two linear equations are referred to be simultaneous linear equations if we take them into consideration.

Steps

[tex]Y=4x+5\\ Y=4x-5[/tex]

Substitute y=4x+5

[tex][4x+5=4x-5][/tex]

Refine [tex][4x+5=4x-5][/tex]

-10=0

-10=0 is a false ,therefore the system of a equation have no solution

To know more about linear equations visit:

https://brainly.com/question/26356616

#SPJ4

Which is the graph of linear inequality 6x+2y>-10?

Answers

Answer:

we have

6x+2y > -106x+2y>−10

Isolate the variable y

Subtract 6x6x both sides

2y > -6x-102y>−6x−10

Divide by 22 both sides

y > -3x-5y>−3x−5

The equation of the line of this inequality is

y=-3x-5y=−3x−5

The slope is negative and is equal to m=-3m=−3

The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero

The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

WILL MAKE BRAINLIEST!! Solve for x

Answers

Answer:

x=17

Step-by-step explanation:

Since they are intersecting lines, 3x=51

x=17

Answer:

x = 17

Step-by-step explanation:

When two lines intersect each other, the opposite angles are identical. Therefore, you can set both angles equal to each other to find the value of "x".

3x = 51

x = 17

Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

Answers

The student with the correct list of steps is student B

How to determine the correct student?

The list of steps is to create a line parallel to line AB

Both students are correct in step (1).

However, the step (2) of student A is incorrect.

This is so because, the student did not provide how points C and G are created

Hence, the student with the correct list of steps is student B


Read more about construction at:

https://brainly.com/question/19449402

#SPJ1

PLEASE FIND X

NOTE: Angles not necessarily drawn to scale.
x =x=x, equals
\Large{{}^\circ}

degrees

Answers

Check the picture below.

A
B
C
D
LO
-5
Y
A'
В'
O
D'
Which rule describes the translation?
(x, y)
(x-8, y - 3)
(x, y)
(x-3, y + 8)
C
(x, y) → (x + 8, y − 3)
O (x, y) → (x + 3, y + 8)

Answers

Answer:

C.  (x,y) ⇒ (x + 8, y − 3)

Step-by-step explanation:

See attached image.

Solve the system of equations 4x+5y=-14 and -5x-8y=10 by combining the equations.

Answers

The solution of the system is:

x = 62/7

y = 30/7

How to solve the system of equations?

Here we have the system:

4x + 5y = -14

-5x - 8y = 10

To solve it by combining the equations, we need to try to remove one of the variables.

If we take the sum of 5 times the first equation and 4 times the second equation we get:

5*(4x + 5y) + 4*(-5x - 8y) = 5*(-14) + 4*10

If we simplify that we get:

20x  + 25y - 20x - 32y = -30

-7y = -30

Now we can solve that for y:

y = -30/-7 = 30/7

Now to get the value of x, we can replace the value of y in any of the given equations:

Using the first one:

4x + 5y = -14

x = (-14 - 5y)/4

x = (-14 - 5*30/7)/4 = (-98/7 - 150/7)/4 = 248/28 = 124/14 = 62/7

The solution of the system is:

x = 62/7

y = 30/7

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

m
A math teacher gives a quiz. Each question on the quiz is
worth 8 points. A score of 75 is a passing grade.
Which number of correct answers will result in a passing
grade?

Answers

From statement equation, the number of correct answers will result in a passing grade is 9.3

What number of questions is required for passing grade ?

Given that each question on the quiz is worth 8 points.

Also given a score of 75 is a passing grade.

Let the number of correct answered questions be x

Thus the total score of the correct answers is 8x

The statement equation is -

⇒ 8x = 75

⇒ x = 75/8 = 9.3

∴  x ≈ 9

Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3

To learn more about statement equation, refer -

https://brainly.com/question/3171283

#SPJ9

Check all that apply
X^2+7x-8

Answers

Answer:

x = -8, 1.

Step-by-step explanation:

x^2 + 7x - 8 = 0

(x + 8)(x - 1) = 0

x = -8, 1.

Answer:

-8 and 1

Step-by-step explanation:

Quadratic expression.

A quadratic expression is an expression with 2 as the highest power of the unknown.

Solving the question:

[tex]x {}^{2} + 7x - 8 \\ x {}^{2} + 8x - x - 8 \\ x(x + 8) - 1(x + 8) \\ (x - 1)(x + 8) \\ x = 1 \: or \: x = - 8[/tex]

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ()=−2+10+9.5 h ( x ) = − x 2 + 10 x + 9.5 , where x is the number of feet away from the sprinkler head (along the ground) the spray is.

Answers

The irrigation system is positioned 9.5 feet above the ground to start.The spray reaches a maximum height of 84.5 feet at a horizontal distance of 5 feet away from the sprinkler head.The spray reaches all the way to the ground at about 10.87 feet away​

How to determine the position?

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

How to determine the maximum height?

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of 84.5 feet at a horizontal distance of 5 feet away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: https://brainly.com/question/24288300

#SPJ1

Complete Question:

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​


Help me please fast

Given (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D what is the value of A + D

Answers

Answer:

-1

Step-by-step explanation:

Expanding (x² − x + 2)(x − 1) we get [tex]x^{3} -x^{2} -x^{2} +x+2x-2[/tex]. When we simplify that, we get [tex]x^{3} -2x^{2} +3x-2[/tex] which fits the form Ax³ + Bx² + Cx + D.

We can see that A = 1, B = -2, C = 3, D = -2. Thus A + D = 1 - 2 = -1.

Therefore your answer is -1

Answer:

A + D = -1

Step-by-step explanation:

Given: (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D

Step 1: Simplify using the Distributive Property.

[tex]\\\implies (x^2 - x + 2)(x - 1) \\\\\implies x(x^2 - x + 2) + -1(x^2 - x + 2)\\\\\implies x^3 - x^2 + 2x - x^2 + x - 2\\\\\implies \bold{1}x^3 -\bold{2}x^2 + \bold{3}x - \bold{2}[/tex]

Step 2: Determine the value of the coefficients.

[tex]\implies {\sf A} = 1, {\sf B} = -2, {\sf C} = 3, {\sf D} = -2[/tex]

Step 3: Find the value of A + D.

[tex]\implies {\sf A} + {\sf D} \Rightarrow 1 - 2 = \boxed{-1}[/tex]

Type the correct answer in each box.
Compete the statement about these similar cylinders.

Answers

Using proportions to find the radius of figure 2, we have that:

The circumference of the base of figure 2 is of [tex]4\pi[/tex] inches.The area of the base of figure 2 is of [tex]4\pi[/tex] square inches.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The rule of three to find the radius of figure 2 is given as follows:

[tex]\frac{5}{9} = \frac{r}{4.5}[/tex]

Applying cross multiplication:

9r = 4 x 4.5

r = 4 x 4.5/9

r = 2 in

What is the circumference of a circle?


The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, we have that r = 2 inches, hence:

[tex]C = 2\pi \times 2 = 4\pi[/tex]

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

[tex]A = \pi r^2[/tex]

Hence:

[tex]A = 4\pi[/tex]

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: First one is 5, Second is 6.25

Step-by-step explanation: Correct on Edmentum/Plato

What is the number of degrees in the measure of the smaller obtuse angle formed by the hands of a standard clock at 2:48pm

Answers

Answer: 156 degrees

Step-by-step explanation:

Which is the graph of the function f() = x2 + 2x - 6?

Answers

The x-intercepts from the graph are -3.646 and 1.646 with the parabolic curve facing upwards

Quadratic graph

Quadratic functions are functions that has a leading coefficient of 2.

According to the question, we are to graph the quadratic function f(x) = x^2 + 2x - 6. The curve will be parabolic in nature and facing upwards since it is a quadratic function.

The x-intercepts from the graph are -3.646 and 1.646 as shown in the attached graph.

Learn more on quadratic graph here: https://brainly.com/question/25841119

#SPJ1

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress.

A weather balloon is 529 meters above the ground. Weather stations A and B are on the ground to form a triangle. A horizontal line is drawn at the top of the triangle to form angle v on the left and angle w on the right. The angle formed with A is x and the angle formed with B is y. A vertical line is drawn from the weather balloon to the ground to form a right angle and split the distance between A and B into 2 parts. The distance from A to the vertical line is 229 meters, and the distance between the vertical line and point B is 347 meters.

Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.
x > y
v > x
w = y
y < v
v = w
x < w

Answers

A, C, D are correct. In this question the options that are correct are

x > yw = y y < vHow to solve for the correct statements in the question

We have first with legs height to be =529 m and 229 m;

second with legs height =529 m and 347 m.

Then tan x = 529/229

tan y = 529/347

We can see that tanx > tany

Hence x> y

We have alternate angles in the question. This makes x=v, y=w

For D

x > y while x = v

This tells us that v>y

Read more on this triangle here: https://brainly.com/question/11944448

#SPJ1

Answer:

acd

Step-by-step explanation:

Which side lengths form a right triangle?
Choose all answers that apply

Answers

Answer:

A and B

Step-by-step explanation:

A : (a²+b²=c²) 11²+13²=290 (c²); c=√290

B : 7²+24²=625; c=√625=25

C : 2²+5²=29≠7²

According to the Pythagorean triple, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

What is the Pythagorean Triple?

The Pythagorean triple are three set of sides that can form a right triangle if the square of the longest side equals the sum of the squares of the other two smaller sides.

11² + 13² = (√290)²

290 = 290 [correct]

7² + 24² = 25²

625 = 625 [correct]

2² + 5² = 7²

29 ≠ 49 [correct]

Therefore, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

Learn more about the Pythagorean triple on:

https://brainly.com/question/11994763

#SPJ1

Solve: 5(x + 2) = 3x + 5

Answers

Answer:

Exact Form: x = -5/2

Decimal Form: x = -2.5

Mixed Form: x = 2 1/2

Answer:

Step-by-step explanation:

5(x+2)=3x+5

5x+10=3x+5

5x=3x-5

2x=-5

x=-0.4

If a is an obtuse angle in a triangle and sin a = , calculate the exact value of sin 2a.

Answers

Answer:

Step-by-step explanation:

cos A = √( 1 - (5/13)²) = √( 1 - 25/169) = √(144/169) = - 12 /13

in 2 A = 2 sin A cos A

sin 2 A = 2 *5/13 ( - 12/13 ) = - 120 / 169

the answer is -120/169

Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850. At the end of October, he earned $3,641 based on $9,875 in sales. What was Theo’s base salary?

Answers

Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 .........................  equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

https://brainly.com/question/6597041

#SPJ1

I’ve tried everything and yet don’t understand this

Answers

Snow reaches at a 15 inches after 16 hours. and 8 inches melt in next 6 hours.

According to the statement

we have a given that there was 1 inch snow on the ground before the snowstorm starts.

then snow fell at constant rate of 3 inches every 2 hours until the snow level reaches at 12 inch had fallen

It means after that there was 13 inch snow on the ground.

and in 1 hour only 1.5 inches snow increases

and if snow takes 2 hours to increase at 3 inches then

it takes 10 hours to reach at 12 inches.

So, snow falls for 10 hours to increase at 12 inches.

And then the snow falls at constant rate of 1 inch per hour for 2 hours.

It means now snow reaches at a 15 inches after 16 hours.

Then sun melt the snow at a 4 inches per 3 hours and sun came for 6 hours then

it means now the level of snow reduced and came at the 7 inches.

because sun reduced 8 inches snow in 6 hours.

So, this is the data collected by a person.

Learn more about Data here https://brainly.com/question/26711803

#SPJ1

Find the side length of the equilateral triangle whose area is the square root of 3 cm2

Answers

Here, Given

Area of Equilateral triangle = 3cm2

therefore, we know;

Area of Equilateral triangle =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]

so,

3 =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]

3÷( [tex]\sqrt{3}[/tex]÷4) = [tex]a^{2}[/tex]

2.63 cm = a .

The area of ​​an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of ​​the shape is the number of unit squares that fit inside.

Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of ​​an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.

Learn more about Area of  triangle  here: https://brainly.com/question/17335144

#SPJ4

Other Questions
How many liters of H2 will be required at a temperature of 300 K and 3 atm pressure to consume 56 grams of N2? Na +3H2NH Dimensional units of the modulus of elasticity are MPa (for International System units) and ksi (for USA customary units). True False how many ways are there to select a set of 8 donuts from 3 varieties in which at most 2 chocolate donuts are selected? Let C be the cyclic binary code of length 4 with generating polynomial g(x) = x2 +1. which of the following polynomials correspond to elements of C ? f1(x) = 1 + x + x3, f2(x) = 1 + x + x2 + x3, f3(x) = x + x3 Determine the force developed in members FE, EB. and BC of the truss and state if these members are in tension or compression. given a unit selling price of $300, fixed costs of $8,000, variable costs per unit of $100, and a total quantity of 75 sold, what is the breakeven point? In Great GAtsby, why was Gatsby disappointed that nothing happened to Daisy after the accident?No plagiarism Correct answers only Michelle was recently elected to the position of president-elect in her state HIM association. Michelle is meeting which of AHIMA's strategic goals?a Leading in data analyticsb Leading in informaticsc Championing information governanced Preparing HIM professionals for the future The limbic system is responsible for all of these except:Retain informationRegulate emotionsSecretion of different hormonesProduce and understand language Thomas is in the football team, basketball team ,hockey team and he likes to go for runs. What is the conculde Write a business plan for krest liquid detergents to be located in kampala with intial required budget of 15million. In your business plan include the following, an executive summary,industrial analysis,company overview,product design,marketing plan,management plan,chances and critical risk analysis,financial plan and other relevant surveys in the market. Make it long and detailed A pharmacist has an 18 lcohol solution. how much of this solution and how much water must be mixed together to make 10 liters of a 12 lcohol solution? What is valuation methodologies - an overview In order to survive, humans need to use accumulated culturally acquired information. true or false You are selling tickets for a high school basketball game. Student tickets (s) cost $5 and adult tickets (a) cost $7. The school wants to collect at least $1400. The gym can hold a maximum of 350 people. Write a system of inequalities that shows the number of student and adult tickets that could be sold the rise velocity vb of a bubble with diameter d in a liquid of density p and viscosity u depends on the acceleration due to gravity g and the density difference between the bubble and the fluid While loop with multiple conditions Write a while loop that multiplies userValue by 2 while all of the following conditions are true: - userValue is not 10 - userValue is less than 25 two skaters push off, one heads right with a momentum of -85.0kgm/s and one heads left with a momentum of -65.0kgm/s. what was their momentum before they pushed off from each other The lengths of the sides of a triangle are 7 cm, 4 cm, and 10 cm. Change the length of the longest side so the lengths will form a righttriangle. What is the new length? Round your answer to the nearest tenth The allowable bending stress is allow = 24 ksi and the allowable shear stress is allow = 14 ksi .Select the lightest-weight wide-flange beam with the shortest depth from Appendix B that will safely support the loading shown.a) W12 X 16b) W12 X 22c) W12 X 14d) W12 X 26