Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

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Q: Find the volume of the solid generated by revolving the area bounded by x – y? + 4y – 4 = 0 and x – ...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: b. Find the unit tangent vector and the principal unit normal vector for motion R(t) = (cos 2t)i + (...

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: az az Find and e = 5x 2² + sin(r + 2) – y?.

A: Find the partial derivative of z with respect to x and with respect to y respectively

Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

Q: Find the values of a and b if the tangent to y = ax² + bx at (1,5) has a slope of 8.

A: We can find the value of a and b as below

Q: Q14

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Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: -1 2. cos

A: 2.cos-1-12

Q: Consider the integral   ∫  e3x ln(14x) dx Using a suitable integration by parts, we can write this...

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 4k k=...

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: The given problem is solved below in detail.

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: The integral expression: Ocos 20 d0 can be evaluated by parts of the for The product vdu is: -40+ si...

A: We will solve using integration by parts. 

Q: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts Subm...

A: I am attaching image so that you understand each and every step.

Q: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x- ...

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Q: Find a Cartesian equation for the curve. r = 7 sec(?)

A: Given query is to find the Cartesian equation if the curve.

Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: equation tangent the graph of Lion at Answer = (x)- se the tangent line to approximate f(1.1). -(1.1...

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Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: find the approyimate Valueof 10/3 2- |(3.01*+(5-98)²+(2.03)?

A: According to guideline I'm solving only Question no. 2 

Q: The integral of t'in t with respect to t is; A none of the given choices (3ln t + 1) + C -(3ln t- 1)...

A: Given query is to find the integral.

Q: dx 4 (2x+1)1 01

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x about th...

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Q: xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: The coefficient of sin( 2x) in the antiderivative of F(x) = [ cos is Blank 1 (use fraction form not ...

A: Given that Fx=cosx26Solution ; Antiderivative of Fx=∫ FxdxFx=cosx26=cos2x23=1+cosx23=181+cosx3=181+c...

Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

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Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

Q: DO NOT include spaces in between characters. TYpe your answers in the following order and format: a=...

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