Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral. dx This integral can now be evaluated using integration by parts with the following choice of u. U = X Determine dv, du, and v. dv = cos(x) dx du = V = Evaluate the integral.

Q: Evaluate. Show all your worH In x -dp- 1 5

A: Here, to evalaute the defiite integral: I=∫5∞ln xx2dx...(1)

Q: IV. Translate into equation. 1. xexceeds y by 2. 2. The sum of x and y amounts to 10. 3. Five more t...

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: Evaluate. Show all your work- | sin(5.x) cos(8x)dx

A: In this question we have to solve the Integration.

Q: Using IMPLICIT DIFFERENTIATION, find y'. +3y² y = 4x? – 5x°y 2ху + Зу? .3.

A:

Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: Compute D P(1,2) in the direction of v =. Please round your answer to 4 decimal places.

A: According to company rule we can answer only first question and rest can be reposted.

Q: Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) = ...

A:

Q: Let f(r) = |3 + 67 . en for z (1) = The left-hand derivative of f(x) at = is -36 The right-hand deri...

A:

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A:

Q: 15. Use the following table to answer the question below: 3. 4 6. 7 4 6. (a) Is Da function of C? Re...

A: Given table:- C 3 4 5 6 7 D 2 4 6 4 2     To find:- (a) Is D a function of C?  (b) For this ...

Q: The profit of a company, in dollars, is the difference between the company's revenue and cost. The c...

A:

Q: The first part of this problem lists Polar Coordinates for six points. Match each Polar coordinate (...

A:

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D %3! Xa Xa lim p(x) = 0 lim q(x) = 0, %3D Xa Xa...

A: We have to solve the limits.

Q: (e) z = x2 + 2y2 where x = sin(t), y = 3sin(t) and t = dz answer: dt dz 19sin(2t) , = 19 dt (f) z = ...

A:

Q: x2 – x +1 When you evaluate: dx. The sum of the coefficient of X" for any constant n>0 js 26 15 23 B...

A:

Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?...

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 5 5 lim t-0 tV1 +t

A:

Q: Compute VP(1,2)|. Please round your answer to 4 decimal places.

A:

Q: 12. The time a person studies for a test is variation to success on test. an inverse a direct an ind...

A:

Q: cos (x) dx b. sin(x) a. 10 10

A: The objective of the question is evaluate the definite integral.

Q: 1. 2x-9 13 Evaluate lim 1 x→-2 2x+8 4 Enter an exact answer.

A: We can find the limit as below.

Q: Divide both sides of the equation cos?x+sin? =1 by sin?: x to get a formula involving cot²x and csc ...

A: We have to find ∫csc4dx Given cos2x+sin2x=1

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A:

Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True Fals...

A:

Q: the limit definition to find the slope of the tangent line to the graph of f at the given point. f(...

A: Given query is to find the slope of the tangent.

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 2 k(k ...

A: The series is telescoping if we can cancel all of the terms in the middle ( every term but the first...

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: f(x)=9x3+57x2+66x+30Take f(x)=0⇒9x3+57x2+66x+30=0find the values of x to get the zeros of the functi...

Q: 3 In(x3 + 7) dx, 4 n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule

A:  

Q: The initial weight of a starving animal is Wo. Its weight after t days is given by W=Wo e -0.005t Wh...

A: We will find the remaining % of wieght as follows.

Q: Let f(x) = (2- . 2x) and g(x) = 8x + 1. %3D Find g(f(x)). 08(2³ 0 8(2° – 2x)' +1 O (8x + 1) - 2(8r +...

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 27 dx +C %3D

A:

Q: 1 (Б) ' (1 + k)l/5 This series converges. eTextbo may or may not converge; it cannot be determined. ...

A:

Q: əx = 7 , at ay ay = -2, ax Əz -4, = 5, as az at 9 ду as (c) ax az = 26 at az -38 , answer: as ду ду ...

A: We are going to solve using chain rule

Q: f(x+h)-f(x) The expression for h +0 is called the difference quotient. Find and simplify the differe...

A: .

Q: dive ges. If it conve ges, find the Determine whether the seavence converges or n+1o Sin(n) 3n+ 2

A:

Q: 13. 13. 5 68.5 -5 5 T68.5 -5 18 5 T68.5 -5 18 35 ー35 So, 6.85 : 5 = 13.7

A: Given :-       To find:- 6.85÷0.5 

Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

A:

Q: a. Sketch the curves on the same polar axis b. Determine the area common to the 2 curves 4. Given r ...

A:

Q: -de 2. S e-x+e*

A:

Q: 6. (- 1)"*1 n = 0 Vn + 1 n + 1 7. E (- 1)"3n – 1 2n + 1 Зп — 1 n = 1

A:

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

A:

Q: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

A:

Q: Management at a factory has found that the maximum number of units a worker can produce in a week is...

A:

Q: The solution is x= Solve for x. (Simplify your answer. Type an exact answer, using radicals as neede...

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

Q: |l. Find for and fy for flx,)= cOs (x)) No need to simplihy -/2 fx = cos (xy)- 1x -(-sin (xy)- y. 1x...

A:

Q: Let the function f be defined by tan(x) – 1 f(x) = sec(x) (a) Use the Quotient Rule to differentiate...

A: I have stated the used formulas in the solution.

Q: Solve. (Simplify your answer. Type an exact answer, using radicais as needed. Express complex number...

A:

Q: Find the tangent line in the x direction, l_x(t). b. Find the directional tangent line, l_u(?), wher...

A:

Q: Consider the function f(x) = 2/x + 4 on the interval 3, 10. Find the average or mean slope of the fu...

A: The function is given by fx = 2x+4 The interval is a, b = 3, 10 Mean Value Theorem: f'c = fb-fab-a =...

Q: ate the limit, if it exists. (If an answer does not x2 + 4x lim x-7 x2 - - 3x - 28

A: We will find the limit.