IF ANYONE HELPS ME WITH THIS I WILL GIVE U BRAINLIEST AND 100 POINTS BTW ITS INTEGRALS FOR CALCULUS

IF ANYONE HELPS ME WITH THIS I WILL GIVE U BRAINLIEST AND 100 POINTS BTW ITS INTEGRALS FOR CALCULUS

Answers

Answer 1

Answer:

[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoringExponential Rule [Rewrite]:                                                                           [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integrals

Definite Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

eˣ Integration:                                                                                                         [tex]\displaystyle \int {e^u} \, dx = e^u + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Set:                                                                                                                 [tex]\displaystyle u = 4x^{-2}[/tex][u] Differentiate [Derivative Rule - Basic Power Rule]:                               [tex]\displaystyle du = -8x^{-3} \ dx[/tex][du] Rewrite [Exponential Rule - Rewrite]:                                                   [tex]\displaystyle du = \frac{-8}{x^3} \ dx[/tex]

Step 3: Integrate Pt. 2

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^6_4 {\frac{-8}{x^3}e^{4x^{-2}}} \, dx[/tex][Integral] U-Substitution:                                                                                [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^{\frac{1}{9}}_{\frac{1}{4}} {e^u} \, dx[/tex][Integral] eˣ Integration:                                                                                [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}(e^u) \bigg| \limits^{\frac{1}{9}}_{\frac{1}{4}}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:          [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8} \bigg[ -e^\bigg{\frac{1}{9}} \bigg( e^\bigg{\frac{5}{36}} - 1 \bigg) \bigg][/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e


Related Questions

Y+4=2(x+3) In slope-intercept form

Answers

Y=2x+2 this is the answer hope this helps
Answer: y =  m x  +  b . Y  =  2 x  +  2______________________________________Hope this helps!

Also can I please have Brainliest?

Only if I'm correct of course.

Your welcome, Loves!

URGENT: WILL MARK BRANIEST, LOOK AT PIC!

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Answer:

It gives u answer in picture

Step-by-step explanation:

Free points?

i have to find the area of the shaded region. please helppp!!!!! xksnkskzks

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Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

not all rational algebraic equations can be expressed in quadratic equations agree disagree defend your answer in at least two sentences​

Answers

The answer is ask ur teacher it’s agree

Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s², where s is the length of one side.
Find the total surface area that Abby will paint.

1. Find the surface area of cube 1. Show your work, and include units with your answer.




2. Find the surface area of cube 2. Show your work, and include units with your answer.




3. What is the total area Abby will paint?

Answers

Answer:1: 56. 3 squared is 9, times 6 is 56.2: 24. 2 squared is 4, times 6 is 24.3: 80. 56+24=80

Step-by-step explanation:

1. The surface area of cube 1 is 54 sq ft,  the surface area of cube 2 is 24 sq ft,  the total area Abby will paint is 78 sq ft

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

We are given that Abby is painting two cubes for an art project.

Cube 1: side length = 3 feet

Cube 2: side length = 2 feet

The surface area of a cube = 6s², where s is the length of one side.

1. Each side of cube 1 is

3 feet x 3 feet, = 9

so, each side has an area of 9 square feet.

Then Multiply by 6 sides and the area

6 x 9 = 54

that is 54 square feet.

2. Each side is 2 feet x 2 feet = 4

so, the area of one side is 4 square feet.

Then Multiply by 6 sides and the area

6 x 4 = 24

That is 24 square feet.

3. the total area = 54 + 24 = 78 square feet

Learn more about cubes;

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Tommy multiplied 0.24 by 100 to change it to what type of number?

A) percent
B) decimal
C) fraction
D) benchmark percent

Answers

Percent.

It wouldn’t be a decimal because 0.24 x 100 = 24
It wouldn’t be a fraction because it would be a whole number
It wouldn’t be a benchmark percent because it’s not 25, 50, 75 or 100

16(x+3)=4(x+9)
solve for x​

Answers

Respuesta :

Ecuación : 16 (x + 3) = 4 (x + 9)

Resolvemos :

  [tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]

Explicación paso a paso :

        16 (x + 3) = 4 (x + 9)

Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"

        16x + 48 = 4x + 36

Términos semejantes ...

        16x - 4x = 36 - 48

Restamos respectivamente ...

        12x = -12

El número 12 multiplicando a "x" pasa a dividir...

        x = -12 ÷ 12

Dividimos y ya tenemos el resultado!! ^-^      x = -1

Ver mas ejemplos : brainly.lat/tarea/29507142

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?

Answers

Answer:

It will take him

[tex] \frac{1}{2} [/tex]

of a minute to fill the bottle.

Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

[tex]\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \: = \frac{ \frac{3}{3} of \: a \: water \: bottle}{x} \\ \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{ \frac{1}{3} x}{ \frac{1}{3} } \\ \\ \frac{1}{2} = x[/tex]

How many solutions does 7x -10 = 7(x+3)

Answers

Answer: The answer to this question is that there is no solution to that problem

Step-by-step explanation:

The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?

Answers

Answer:

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

No he would not

b) How much will he have left over or how much more will he need?

= He would have 144 inches left over.

Step-by-step explanation:

The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?

From the above question, each sword would need 48 inches of tape

He would need to wrap 28 swords, hence:

1 swords = 48 inches

28 swords = x

x = 28 × 48 inches

= 1344 inches of tapes

Therefore to cover each sword he would need a total of 1344 inches of tape.

He ordered 100 feet of tape

We convert 100 feet to inches

1 foot = 12 inches

100 feet = x

x = 100 × 12 inches

x = 1200 inches

Hence, he ordered 1200 inches of tape.

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

100 feet = 1200 inches of tapes

To wrap 28 swords he would need 1344 inches of tape hence, he would not have enough tape to wrap 28 swords.

b) How much will he have left over or how much more will he need?

= 1344 inches - 1200 inches

= 144 inches

He would have 144 inches left over.

HELP ME OMG ILL GIVE YOU BRAINLIEST AND ILL FOLLOW YOU!!!!!!!

Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically given that z1 = 8 – I and z2 = -9 + 2i. Then, give the sum 21 + Z2 in rectangular form.​

Answers

Answer:

Given are two complex numbers as

When we add algebraically, we add the real parts and then add the imaginary parts separately

Hence

Geometrically we draw position vector of both the points.  The sum would be resultant of these two vectors.

Step-by-step explanation:

The sum of the complex number in rectangular form is -1 +i

Sum of complex number

Complex numbers are written in the form x + iy

Given the complex numbers expressed as:

z1 = 8 - i

z2 = -9 + 2i

Take the sum

z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i

Hence the sum of the complex number in rectangular form is -1 +i

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Tell whether the following equation represents or not represents a linear function. 20x + 4y = 8 The equation represents a linear function.​

Answers

Answer:

— 20x + 4y = 8 The equation represents a linear function.​. Add answer+5 pts.

Step-by-step explanation:

How do I do this?
.
.

Answers

Answer:

the answer is 4 i believe

Step-by-step explanation:

How do you solve problems involving sequence? Discuss the mathematics concepts and principles applied when solving problems involving sequence

Answers

Step-by-step explanation:

Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into

1) Arithmetic

2) Geometric

Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.

Given a sequance of numbers say;

T1, T2, T3...

The first term "a" of the sequence is T1

Common difference d = T2-T1 =T3-T2

Common ratio = T2/T1 = T3/T2

The formula for calculating nth term of an Arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

The nth term of a Geometric sequence is expressed as;

Tn = ar^{n-1}

r is the common ratio

Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into

1) Mathematics

2) Graphitic

Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.

Suppose a sequence of numbers is given;

T1, T2, T3...

The sequence's initial term "a" is T1.

common distinction d = T2-T1 =T3-T2

T2/T1 Common Ratio T3/T2

The following is the formula for finding the nth term in an arithmetic sequence:

Tn = a+(n-1)d

The first term is a.

The number of terms is n.

d is the typical discrepancy

The nth term of a Geometric sequence is expressed as;

[tex]T_{n} =ar^{n-1}[/tex]

r is the common ratio

To learn more about information Sequence :

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there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses

Answers

Answer:

12 g 14 b

Step-by-step explanation:

.

Is (-1, -9) a solution to the equation y 9x?​

Answers

Answer:

Yes if the equation is Y= 9X

Step-by-step explanation:

-9= 9×-1 ---} -9 = -9

microzooplankton is _____ compared to macrozooplankton

a) smaller
b) bigger
c) faster
d) brighter in color

btw yes i put it on math because i feel like more people do math more

Answers

a ) smaller is correct answer

What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *

Answers

Answer:

y=2x-5

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2

[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2

[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of

[tex]y=2x-5[/tex]

*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5

giving you y=2x-5

At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game.

Answers

This can be expressed in this form:

1/2x - 18.

8x27 using distributive property and mental math

Answers

Answer:

216

Step-by-step explanation:

8×20=160 and 8×7=56 160+56=216 idky u told me to do it in my head but i did so ya

What is the exact solution to the equation 4^5x=3^(x-2)
list the steps to get the answer

Answers

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

15 POINTS PLEASE HELP!

Answers

Answer:

buddy...u weren't able to attach it properly...

Step-by-step explanation:

u may type it out in the comments...

how can we use a number line to help calculate elapsed time

Answers

i’m not 100% sure but i think by what i learned that you would use a number line to measure to the number than the closest number of the time your looking for would be looking for.

the sum of the measurement of the angles of a triangle equals 180 degrees what is the measure of the missing angle.​

Answers

Answer:

108.9

Step-by-step explanation:

180-(30.3+40.8)

180-71.1

108.9

Johnny's Towing Company charges a one-time towing fee of $50, plus $20 per day
that they keep each car.
If Johnny changes his one-time towing fee to $75, describe how the graph of his
function would change.

Answers

The slope is curved

Solve the equation 2 + 4.7 = -9.3.

Answers

Answer: positive then greater than

Step-by-step explanation:

2 + 4.7 = 6.7
Therefore, the it is a positive number that is greater than -9.3.

please solve due soon

Answers

The correct answer would be 5 because if x=0 then 5 0 times would just be zero

Answer:

5

Step-by-step explanation:

5+5(0)

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3

Answers

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where

[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

[tex]y - y_1 = m(x - x_1)[/tex]

Choosing the point (0, 3), we get:

y - 3 = (4/3)(x - 0)

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Learn more about equation of a line here:

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it is any equation in the form f of x = ax to the second power + bx + c where a b and c are real numbers and a not equal to zero . is t a linear equation, quadratic,rational​

Answers

Answer:

The answer to this depends on the accuracy of the way this is transcribed.  If the value on the left side of the equals sign is indeed x, then it would be a rational equation.  If it is meant to be another scalar value though, then this would be a quadratic equation.

Step-by-step explanation:

This depends on the what is on the other side of the equals sign.  If it is a scalar value, then you are guaranteed a proper quadratic equation.  In the example given though:

[tex]x = ax^2 + bx + c[/tex]

This is not actually true.  In this example, we can divide both sides by x, giving us a very different equation:

[tex]x = ax^2 + bx + c\\1 = ax + b + c/x\\ax + c/x = 1b[/tex]

and this equation actually a rational one.

all my points! PLZ help me on this and explain ur answer plzz

Answers

It’s already answered in the other post and sorry if I didn’t answer in this post
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