Find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.(a) 11 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (b) 8x1 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (c) 3x31 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rule
Answer:
a) This integral can be evaluated using the basic integration rules. [tex]\int 11x^{4}dx = \frac{11}{5} x^{5}+C[/tex]
b) This integral can be evaluated using the basic integration rules. [tex]\int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C[/tex]
c) This integral can be evaluated using the basic integration rules. [tex]\int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C[/tex]
Step-by-step explanation:
a) [tex]\int 11x^{4}dx[/tex]
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:
[tex]\int kx^{n}=k\frac{x^{n+1}}{n+1}+C[/tex]
so in this case we would get:
[tex]\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C[/tex]
[tex]\int 11x^{4}dx=11 \frac{x^{5}}{5}+C[/tex]
b) [tex]\int 8x^{1}x^{4}dx[/tex]
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:
[tex]\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx[/tex]
So we can now use the power rule of integration:
[tex]\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C[/tex]
[tex]\int 8x^{5}dx=\frac{8}{6}x^{6}+C[/tex]
[tex]\int 8x^{5}dx=\frac{4}{3}x^{6}+C[/tex]
c) The same applies to this problem:
[tex]\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx[/tex]
and now we can use the power rule of integration:
[tex]\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C[/tex]
[tex]\int 3x^{35}dx=\frac{3x^{36}}{36}+C[/tex]
[tex]\int 3x^{35}dx=\frac{x^{36}}{12}+C[/tex]
4 less tha the product of a 5 and a number
Answer:
5+n(-4)
Step-by-step explanation:
this is the equation if that helps??
Answer:
5*N-4 five times a number n minus four
Sam has $35 in his wallet. He spent 2/5 on his wallet. How many dollars does he have left?
Answer:
15
Step-by-step explanation:
Answer:
2/5×$35 = 2/1×$7 = 2×7 = $14
10
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the
number of inches on the map, and y, the actual distance in miles?
A
Map Scale
с
Map Scale
Actual Distance (miles)
225
200
175
150
125
100
75
Actual Distance (miles)
225
200
175
150
125
100
75
50
25
50
25
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
B
Map Scale
D
Map Scale
y
225
200
E 175
8 150
Actual Distance (miles)
125
Actual Distance (miles)
225
200
175
8 150
125
100
75
50
25
100
75
50
25
0
0
1 2 3 4 5 6 7 8 9
Number of Inches on Map
1 2 3 4 5 6 7 8 9
Number of Inches on Map
Answer: it’s C
Step-by-step explanation:
A triangle has sides with lengths of 4 meters, 5 meters, and 6 meters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
because no pythagoras formula work here
Answer:
Lets solve it by phythagoras therom
[tex]alt^{2}[/tex] + [tex]base^{2}[/tex] = [tex]hypo^{2}[/tex]
[tex]6^{2}[/tex] = [tex]4^{2}[/tex] + [tex]5^{2}[/tex]
so, [tex]4^{2}[/tex] + [tex]5^{2}[/tex] would be equal to [tex]6^{2}[/tex]
[tex]4^{2}[/tex] + [tex]5^{2}[/tex] = 16 + 25
= 41
[tex]6^{2}[/tex] = 36
41 is not equal to 36
So it is not a right angled tringle.
Hope it helps
Please mark me as the brainliest
thank you
How do you differentiate y = 3x3 - 2x-4
Answer:
y' = 9x^2 + 8x^-5
Step-by-step explanation:
General Principle
y' = ax^b
y' = a*b * x^(b-1)
Solution
3x^3 = 3*3x^(3-1)
3x^3 = 9x^2
-2x^-4 = -2*-4 x ^(-4 - 1)
-2x^-4 = 8 x ^-5
Answer
y' = 9x^2 + 8x^-5
ES LA OPERACION DE MOVER LOS EJES COORDENADOS EN EL PLANO COORDENADO A UNA POSICION DIFERENTE, MANTENIENDOLOS PARALELOS A LOS ORIGINALES Y EN EL MISMO SENTIDO
Help I need the right answer
Answer:
Daisy ran the greatest distance while Carlos ran the shortest
Step-by-step explanation:
In fraction the bigger the number looks the smaller it actually is because it fraction you splitting things into smaller halfs not increasing them
Tell me the Definition of each Word listed (math)
Name the geometric term modeled by a pinhole
in a wall.
A. Line Segment B. Plane
C. Line D. Point
Answer:
D. Point
Step-by-step explanation:
The wall would be like a plane.
You're looking at the wall, and the pinhole is a dot, and the dot is a point.
Easy brainliest for correct answer 100%
Answer:
It would be the last option.
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?
Multiply (x+2y)(x^2-xy+3y)
The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
To learn more about the product of polynomials visit:
https://brainly.com/question/16037613.
#SPJ2
Calculate the derivative of the following function. y=e6x(6x+1)5
Answer:
Y' = 360ex+ 30e
Step-by-step explanation:
Y=e×6x×(6x+1) × 5
y'= d/dx (e×6x ×(6x+1)×5)
y'=d/dx(30ex ×(6x+1))
y'=d/dx(180ex^2 + 30ex)
y'=d/dx(180ex^2) + d/dx (30ex)
Calculate the derivative
y'=180e×2x +30e
y'=360ex+30e
jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if one can of paint covers 30 square ft, how many cans are needed?
Answer:
352 ft (squared) , he will need 12 paint cans
Step-by-step explanation:
Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12
Identify the point in Figure 2 that corresponds to point M in Figure 1.
Answer:
i need a picture. If i had a picture i would be happy to help!
Step-by-step explanation:
(20 Points)
In circle P, M^ ADB is 25°.
What is the m^ APB ?
☁︎
A:65
☁︎
B:40
☁︎
C:25
☁︎
D:50
Given:
In circle P, m∠ADB is 25°.
To find:
The m∠APB.
Solution:
Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.
From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.
By using the central angle theorem, we get
[tex]m\angle APB=2\times m\angle ADB[/tex]
[tex]m\angle APB=2\times (25^\circ)[/tex]
[tex]m\angle APB=50^\circ[/tex]
Therefore, the correct option is D.
Which equation matches the hanger diagram?
Answer:
D
Step-by-step explanation:
You can see that the hanger is perfectly balanced
So that means that:
5 ones = 2 x's
So:
1+1+1+1+1=x+x
simplified
2x=5
D
5. Let f(x) = 3x3/4 and g(x) = -2x314 Find (f + g)(x). Please show work.
Answer:
I don't have a clue
Step-by-step explanation:
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
Somebody help me please,
When solving equations algebraically, Meghan and Meredith each got a different solution. Who is correct? Why did the other person not get the correct answer..?
Answer:
Meghan is correct, y=8
Step-by-step explanation:
8/2 = 4, 2/2 doesn't equal 4. When writing this algebraically, you would multiply 2 to leave the y alone. What happens to one side has to happen to the other, so you would multiply 4 by 2. You're left with y=8
Answer:
wanted my points
Step-by-step explanation:
Picture below please help
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the types of Angles.
Supplementary angles sum up to make 180° and Complementary sum up to make 90° angles.
1.) angle AXC and CXD => SUPPLEMENTARY ANGLES
2.) angle BXC and CXD => COMPLEMENTARY ANGLES
For males to enter the United States Air Force Academy, located in Colorado
Springs, CO, they must be at least 17 but less than 23 years of age. Their standing height
must be not less than 60 inches and not greater than 80 inches. Graph all possible
heights and ages for eligible male candidates. Give three possible combinations.
Answer:
Some research has shown that culture and context-specific gender roles have a stronger influence on emotional expression than do biological factors. ... Another study suggests that people tend to exhibit more intense negative facial expressions in solitary conditions, and smile more when others are present.
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=66°, and NO = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answer: 65.7
Step-by-step explanation:
sinM=
hypotenuse
opposite
=
x
60
sin
66
=
60
x
sin66=
x
60
x
sin
66
=
60
xsin66=60
x
sin
66
sin
66
=
60
sin
66
sin66
xsin66
=
sin66
60
x
=
60
sin
66
=
65.6782
≈
65.7
feet
x=
sin66
60
=65.6782≈65.7 feet
Answer:
67
Step-by-step explanation:
( 23 pts )Please answer this math question.
Answer:
25
Step-by-step explanation:
itzcottoncandy556.............
what is 2/3=????????
Answer:
A. 4/6
Step-by-step explanation:
It's 4/6 because 4/6 is 2/3 just multiplied by 2.
Hope this helps. ; )
Answer:
2 divided by 3
Step-by-step explanation:
0.6 repeating
Someone please help me
5/9 of a number is 65 find the number
Answer:
55% of 118 is 65.54
Step-by-step explanation:
M M m Given the following triangle with the following angle values, solve for X,
Answer: x = 32
Step-by-step explanation:
Triangle angle sum theory states that the interior angles of a triangle sum to 180. Add all three angles up and set equal to 180 to solve.
33+ 37 + (3x+14) = 180. Combine like terms
84 +3x = 180. Subtract 84 from both sides.
3x = 96. Divide both sides by 3.
X = 32
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.