For the​ function, find the points on the graph at which the tangent line is horizontal. If none​ exist, state that fact. SHOW WORK PLEASE!

For The Function, Find The Points On The Graph At Which The Tangent Line Is Horizontal. If None Exist,

Answers

Answer 1

9514 1404 393

Answer:

  A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)

Step-by-step explanation:

The tangents are horizontal where the derivative is zero. The derivative of the given function is ...

  y' = x² -2

This is zero when ...

  0 = x² -2

  2 = x²

  ±√2 = x . . . . x-values where the derivative is zero

__

The corresponding y-values are ...

  y = (1/3x² -2)x +3

  y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3

The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).

For The Function, Find The Points On The Graph At Which The Tangent Line Is Horizontal. If None Exist,

Related Questions

Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?

Answers

Answer:

the answer should be 9, im not sure tho I vaguely remember this

QUICK

Find the area of the shaded region. Use 3.14 for pi.

Answers

Answer:

The shaded region is [tex]353.25m^2[/tex].

Step-by-step explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]

Answer:

353.25 m²

Step-by-step explanation:

Shaded region is the difference in the area of the bigger circle and two smaller circles.

Radius of bigger circle = 15 mRadius of smaller circles = 15/2 = 7.5 m

The shaded area:

A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²

8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?

Answers

Answer:

21

Step-by-step explanation:

EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.


EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS

PLANOS.

Answers

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Evaluate d-17 when d=30​

Answers

d-17

d=30

Replace d

30-17=13

Answer:

d-17

= 30-17

= 13

Step-by-step explanation:

Since d = 30, so d-17= 13

Find the area of the circle. 9mm.​

Answers

Step-by-step explanation:

The answer is 254.57142857

The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)

Answers

Answer:

13

Step-by-step explanation:

asddfghjkl;

.,kjhuilk;jk;lk'

There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .

Answers

Answer:

34 because 50 percent of 68 is 34

Answer:

There are 34 red marbles in the bin

Step-by-step explanation:

50% is basically 1/2. So half of 68 is 34.

solve each system by substitution y=2x-1. 3x+8y=11

Answers

Since 8+3 already equals 11, x=1 and y=1

Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x

Answers

Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

100
hope this helps :)

The base of a circular fountain has a radius of 3.5 feet. What is the approximate circumference of the base of the fountain?

Answers

Answer:

circumference = 21.98 feet

Step-by-step explanation:

circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet

the graphs below have the same shape. what is the equation o the red graph?

Answers

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

[tex]y = (x + 4)^2-2[/tex]

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )

Answers

Answer:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,1)[/tex]        [tex]B =(2,3)[/tex]

[tex]C = (4,3)[/tex]        [tex]D = (5,1)[/tex]

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

[tex](x,y)=>(-x,y)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]

When a point is translated 2 units down, the rule is:

[tex](x,y) => (x,y-2)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]

So, the new coordinates are:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

find the value of given expression

[tex] \sqrt{440 + 1} [/tex]

Answers

Answer:

21

Step-by-step explanation:

[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]

(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME​

Answers

Answer:

Its - 2..................

May i get someone to help with these questions

6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81

8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54

Answers

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

A rectangle has a width of 3 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x.

Answers

Answer:

6

Step-by-step explanation:

the length  is 6 inch.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

A rectangle has a width of 3 inches and a length of x inches.

The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.

i.e. 2(3+x)=3x

x=6

hence, the length  is 6 inch.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

The cell phone company charges $42 plus .02 per text (t). Which algebraic expression represents the total charge per
month?
A. 42.02t
B. 42 + .02t C. 44t. D. 42 + t
PLEASE HELP

Answers

Answer:

the answer is b) 42 + .02t

Please help and make sure you get it right.

Answers

Answer:

Both 1 and 2

Step-by-step explanation:

DUE SOON PLEASE HELP

Answers

Answer:

Im pretty sure its 114 m^2 sorry if im wrong

Answer:

The total surface area of the figure would be 114m.

if a = 7 and b = 2, find the value of (a - b) ²​

Answers

Answer:

substitute it into the value that they give then expand the formula which is

a^2-2ab+b^2

Step-by-step explanation:

sin(20)=x/670 ????????

Answers

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

Which is the simplified expression for 3^-4*2^3*3^2/2^4*3^-3

Answers

[tex]\frac{3^-^4*2^3*3^2}{2^4*3^-^3}\\=\frac{3}{2}[/tex]

Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.

Answers

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?

Answers

I’d say John is a pretty skinny boy who doesn’t have too much height on him. he doesn’t appear to have much muscle on him or excess weight.

what is the value of x?

Answers

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

What is the equation for the graph on question 1

Answers

Answer: f(x) = x^2 - 4*x

Step-by-step explanation:

This is a quadratic equation, that can be written in factorized form as:

f(x) = A*(x - a)*(x - b)

Where A is a real number, a and b are the roots of the equation.

In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:

a = 0

b = 4

So the equation is:

f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)

Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4

Then:

f(2) = A*2*(2 - 4) = -4

     = A*2*(-2) = -4

     = A*-4 = -4

         A = -4/-4 = 1

A = 1

Then the equation is:

f(x) = x*(x - 4) = x^2 - 4*x

Write 0.31% as a decimal.

Answers

Answer:

0.31% = 0.0031 in decimal form.

Step-by-step explanation:

Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).

in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16

Answers

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

Please help out !

Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6

Answers

It would be a that’s because the vertex would b (2, 1)
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