11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

A:

Q: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 | f(x...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Is the series divergent or convergent? With complete solution and explanation +o0 (-1)" n! n=1

A:

Q: 23. If u = f(x), then +2x² + 1 k + C for some constant k . x² + 1 Compute kf (1). (a) ¼ (b) – ½ (c) ...

A:

Q: 10. csc x (3n . Compute f du If u = f(x), then dx = sin x – cos x и 2 A. O В. 1 С. 2 D. -1

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Use taylor series formula and  for interval of convergence use ratio test.

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

A: The length of string is 48 cm.Let the length of the one piece is x,Suppose, equilateral triangle wit...

Q: Let f(x) = (4x – 6)(x² – 5). Find all the values of x for which f'(x) = 0. Present your answer as a ...

A:

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

A:

Q: show that y=seclx) is a solution to and use reduction y° -2tanGe)y'- of order to find a second, line...

A: see below the answer and calculation

Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A: 1. limx→+∞3x2. limx→-∞4x

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: It is a series expansion problem

Q: Evaluate the integral cot 2x /cot² 2x – 15 csc 2x +C 4 1 -Arcsec (B -Arcsec csc 2x +C 4 1 Arcsec 2/1...

A:

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

Q: n+ In(3) Then the limit lim a = - 00 Given the sequence

A:

Q: Find the Taylor polynomials of orders n = 0.1, 2, 3. and 4 about x = 20 and then find the nth Taylor...

A: f(x)=2xx0=-1

Q: A calculus instructor uses computer aided instruction and allows students to take the midterm exam a...

A: see below the answer and explanation

Q: Find the producers' surplus it the supply function for pork belies is given by the following S() -q/...

A:

Q: 1. The graph of a function f is shown. Verify that f satisfies the hypotheses of Rolle's Theorem on ...

A: Rolle's Theorem Let f(x) be a function that is continuous on [a, b]  and differentiable on (a, b). I...

Q: I. Determine whether the series converges using any appropriate test. Identify the test for converge...

A:

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: A 2005 study by the Fisheries Research Services in Aberdeen, Scotland, suggests that the average len...

A:

Q: n+ In (3) Given the sequence Then the limit lim a = a n- 00

A:

Q: dx x Vx²+2x-1

A:

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f'(1) = %3D %3D

A:

Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x + ...

A: Area

Q: Find the radius of convergence and the interval of convergence. El-1)«(# + 2)2*+1 k2 + 4 A=1 Radius ...

A: Given series ∑k=1∞(-1)k(x+2)2k+1k2+4 want to find radius of convergence and interval of convergence 

Q: 3. A single-input, single-output system has the state variable representation *= Ax + Bu y = Cx 1 wh...

A:

Q: 2 tan(4x-1)–3 cos²(4x-1) dy cos(4x-1) 4. If we let u = 4x -1 for the ', what's going to be the resul...

A:

Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) %3D (1 + x)5 f(x) =

A:

Q: (x² + y²)dx – xydy = 0 -

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Taylor series of function fx at a is defined as:fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half ...

A:

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 7. Determine f(x) so that Scon cos(In°x)f(x) dx = sin(ln²x) + C 2 Inx (a) 2 In x (b) In x (c) (d) 2

A:

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

A: Question: suppose a sample of certain substance decay to 73.6% of its original amount after 300 days...

Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

A:

Q: Find g' (3) given that f(3) = -6 and f'(3) = 4 %3D (a) For g(x) = 3xr² – 5 f(x) %3D 1 g' (3) = %3D 2...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 5 x2'

A:

Q: (-1)**l а, Ans. Converges, 0 7) 2n –1 2n 8) an Ans. Converges, v2 n+1

A:

Q: -5 dx Evaluate 2х — 10 (а) — оо (c) 1/2 (d) 0 00

A:

Q: c. What is the height of the object at the highest point? d. When does the object strike the ground?...

A:

Q: Q3) Find the Lagrange polynomial that fits the following set of four poin value of y at x-0: Ans. y=...

A: Given: - The set of four points, x -2 3 1 7 y 5 7 11 34 To find: - The Lagrange polynomial t...

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the point...

A: First I have written the rule of minimum rate of change of a function at given point and then find t...

Q: n+ In (3) Given the sequence Then the limit lim a = a

A:

Q: If a <b <e_ If lim a,=L and lim e,=L+7,then which of these is TRUE? - 00 - 00 O A. (b,) converges. O...

A:

Q: 1I. Create a table of values for the function and use the result o estimate the limit. You are allow...

A:

Q: Determine if the series converges or diverges. 00 Σ n=1 n! The series (coverges/diverges) using the ...

A: We have to find, the series is divergent or convergence. 

Q: Find the radius of convergence of the power series. 00 E(-1)"n+ 9 n = 0

A: