1. Find the antiderivative of sin '(2.r)d.r.

Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: x/1 – x dx

A: ∫x1-xdx use the rule of integration by parts ∫ uvdx = u∫vdx - ∫u'∫vdxdx here u = x   v= 1-x u' =…

Q: consider a ctosed Kectangutar box with a Hew.y squar bare If base side ir measured with error at and…

A:

Q: Find the derivative of the function. y = 9 x + 3 y' =

A:

Q: The figure below shows f(x) and its local linearization at x = a, y = 5x 2. (The - local…

A:

Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: Analyze the following problems then solve. Show necessary solutions. 1. A three-sided fence is to be…

A:

Q: Find dfldx and dfldy. f(x.y) = (4xy – 7)²

A: We can find the required partial derivatives as below, in the following steps.

Q: (4) Draw y=2

A: Solving

Q: 4+6 n i) The sequence {- -} is bounded by 6 n <n< ii) The 20 th. element of this sequence is

A: We can solve as follows

Q: X+1 Use a table to evaluate the limit: lim x(x- 1) • O -1 +cO

A: Use limit for finding the right answer.

Q: Consider the following. (The graph Is called a serpentine.) 36x +36 Find the derivative of the…

A:

Q: A -r = COs(U) TC Ex: Replace P(r, 0) → P(x, y) and graph. rcos (0-) = 3. (H.W %3D

A: The given equation is: rcosθ-π3=3

Q: 4x3-х dx х2-х-30

A: Solving the problem by finding the value of the integration.

Q: The series 5 n 6. n=4 8

A:

Q: Carol has 1500 ft of fencing to fence in a rectangular horse corral. 750- x (a) Find a function that…

A: We can solve as follows

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: Find the second derivative of the function. g(t) =  7 8t6

A:

Q: The tangent line to the graph of y g(x) at the point (4, 2) passes through the point (1, 4). Find…

A: Tangent line to graph g(x) at a point (4,2)⇒(4,2) is point on g(x)g(4)=2

Q: Test the series below for convergence using the Ratio Test. 67-1 n=1 The limit of the ratio test…

A:

Q: A 15 feet long ladder is leaning against the wall. The bottom of the ladder is sliding away from the…

A:

Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

A:

Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: Find the derivative of the function. 6x3 + 8x2 f(x) = Step 1 The function f(x) can be simplified to…

A: ANSWER:

Q: 7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1…

A:

Q: Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

A: We have to find g'(x) using the general power rule.

Q: If the function y = A sin z + B cos a satisfies the differential equation y" + y – 2y = sin z for…

A:

Q: 1 00 7) Ln=2 (In n)" n%=2

A: Note: “Since you have asked multiple question, we will solve the first question for you. To get…

Q: 6. Evaluate the integral e* dx ex + e-x

A:

Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

A:

Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36…

A:

Q: 1. Which of the following is equal to the first derivative of a function? A) point of tangency B)…

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r=…

A:

Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) =…

A: To find the taylor series being centered at the given value of 'a'.fx=x-35-xa=3

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

A:

Q: Given the equation y = 3 e(xy) Find the Implicit derivative " dy/dx" of the function. You will need…

A:

Q: Consider the following function. h(x) = 5 − 2x Find its average rate of change over the interval…

A:

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 2 Vx - 10 lim x- 25…

A:

Q: fxcos 73 x cos 4xcos 2xdx π ſcos(nx)dx 75 ーπ 77 xsin(nx)dx

A:

Q: Find the derivative by the limit process. f(x) = 14 – x2 Step 1 f(x + Ax) - f(x) Complete the…

A:

Q: 10.What value is approached by Ax f(a+Ax)-f(a) Ax in to approximate the slope of the tangent line to…

A: Given problems:-

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A:

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

A:

Q: Find (f1)'(0). dt f(r) ((0) =

A:

Q: The function g (x) is defined as follows: 2x - k 16x - 21 2x Xs 1 1 3 9(x) = a) Find the value of k…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose f(x) = r² + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A:

Q: By about how much will f(x.y.z) = In /x +y +z change if the point P(x.y.z) moves from Po(6,1,3) a…

A:

Q: Suppose that f(x) is a function with f(120) = 37 and f' (120) = 8. Estimate f(118.5). f(118.5) =

A: answer is in next step

Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: This question is related to algebraic equations, we will solve it using given information.