Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1-24. 2. а. rV x3 :dx Vx* + 9 10. а. b. cos 3t) sin 3t dt (1 7/6 -

Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: 2:(y –x² }tx+ dy =0 1.

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Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Question: Using the substitution rule, which of the following gives the value of the definite integr...

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Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x, f...

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Q: In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try...

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Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

Q: 3. a) Determine whether or not the point R(-3, 4, -2) lies on the line i = [0,20,4]+t[1,4,–2].

A: Given

Q: Using u-substitution, the integral S f(x)dx reduces to a new integral S g(u)du. If g(u) = ' evaluate...

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Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: b) Find the maximum volume that such a box can have.

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Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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Q: (х + 2) dx (x + 3) sin y cos y dy In(x + 3) sin? y + C - ans. 2 2.

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Q: ential equation. ect answer below. 5-12 + C

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Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x ...

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: Let f(x)=-2x'-10x+12 (a) Express f in standard form (b)Find the vertex (c)Determine if the vertex is...

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Q: Current Attempt in Progress Use the ratio test to determine whether the series converges or diverges...

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Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

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Q: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: y =-1 2х

A: Given functiony=12x-1

Q: solve for x the equation 4y 3x2 + 2r - 5

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =

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Q: Use the given definition to find f(A): If f(x) = a, + a,x a,x + ... + ax" is a polynomial function, ...

A: This is a problem related to matrix. We will find out square of the matrix and then calculate f(A) m...

Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: Determine whether the series converges. 2 +4 2 +9 O The series converges. O The series diverges.

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Q: Solve the initial value problem:  y'= (3x^2)y+2x^2 ; y(0)=1

A: Given problem:- y' =(3x2)y+2x2 , y(0) =1 To find:- Solve the initial value differential equation

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: If cotx 12 find the other trigonometric functions

A: Given query is to find the values of trigonometric functions.

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. x(1+Vx) D...

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

A: Given query is to find the value of indicated function.

Q: Evaluate the integral. In(10 x 9) dx +C

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Q: Let f dx be given. if u = e* + 1, then the resulting integral is f(u) du. Compute f(3) 2/3

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Q: Plot the following functions y =-1 2x

A: Given function, y= 1/2x -1

Q: Determine whether the alternating series converges. 51n k | k k=3 O The series converges. O The seri...

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Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the ...

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Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

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Q: Given f(z) = Arg(z+ 1), find all points at which f(2) is continuous. For a point of discontinuity, d...

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Q: Which of the following planes is parallel to the plane За — 2у + z — 3? - 3x 2y + 9 - 6х — 4у + 22 —...

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Q: (a) Plot the first four terms of the sequence Зn? - Зп +2 2 (b) (i) Write in bracket notation the se...

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Q: Evaluate f 5sinBcosede sin" 8+3sin8-4 a. 4 In (sind+4) – In (sind – 1) +C O b. 4 ln (sind- 4) + In (...

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Q: For the following function ds find the antiderivative s that satisfies the given condition. dt ds -=...

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Q: III Find the following: (Show your solution) Given: I미 = 35 |AN B| = 6 |AN Bn C| = 2 |A| = 15 |An C|...

A: Given that:  U=35, A=15, B=15, C=14, A∩B=6, A∩C=6, B∩C=5, A∩B∩C=2 We have to find: 1. A∩B∩C¯2. A∩B¯∪...

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: 7. Find the value of p for which the series > (-3)"(p – 5)" is convergent. | n=1

A: see below the answer and explanation

Q: Use the difference a,n+1 – a, to show that the given sequence {a,}is strictly increasing or strictly...

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Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of inters...

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Q: dx +x tan y= dy sec y 1+tan

A: The given differential equation is; dx/dy +xtany=secy/(1+tany)

Q: Use the following graph and write the shaded area as integrals. A(-1,3) D(2,1) B(0,0) y= h(z) y = S(...

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