y = In (14)

Q: * Find the general Solution of :- - Cotx dy dx

A: To find the general solution we need to integrate the solutions of both sides w.r.t. to x;

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

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Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue…

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ​ft/min

Q: Find all solutions of the equation. +√√2=0 6) 2 cos x + 1

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Q: Find the distance d (in the complex plane) between z = 2 + 7i and w = 11 - 10 i. d = √ (1)² + (9)² X

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Q: f(x) 3, 4x + A, Bx - 6, 10x + C, Dx + 6, 2, x 2

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

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Q: Exercise 4. Prove the following claims. (i) Let f: R² →→ R be defined as f(x, y) := { 3 xy x² + y²…

A: The condition of function in R2 must fullfill in order to be continuous isf(a, b) = lim (x, y) ->…

Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

Q: Set up the iterated integral for evaluating f(r,0,2) r dz dr de over the region D, where D is the…

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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Q: Express the limit as a definite integral on the given interval. lim Σ 2x₁² + (x₁") ² Ax, [4, 5] i =…

A: The given limit is

Q: Compute the area of the surface obtained by rotating the curve y = 1+ 2x², 0 ≤ x ≤1

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: Consider the series. (−1)n+115n-1 (n+3)5 14n+2 In this problem you must attempt to use the Ratio…

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Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

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Q: Question 4.11) Compute the following limits at infinity. A) lim D) lim Chapter 4: LIMITS (SECOND…

A: As per our guidelines, you are supposed to answer only one question with a maximum of three sub…

Q: Solve the following integration :- S. X-3 2 X²³² x ² −X +1 dx

A: To solve the following integration.

Q: Evaluate the integral by interpreting it in terms areas. L(7x-14) de Part 1 of 3 We are concerned…

A: The given integral is The function

Q: * Find the general Solution of :- - dy хе dxx New 1=Y, NOVIR VO

A: The given equation is; dy/dx = xex

Q: If f(x)= cos(sinx), find f'(1). 0.2314 1 0 -0.4029

A: The given function is

Q: Consider the series n=1 an where (4n² + 2)7+5 10" In this problem you must attempt to use the Ratio…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: we are given that

Q: Fill in the blanks using the information given. Consider the series Then, an is [Select] Since n=1…

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. ㅠ x = 5 cos³(0),…

A: Given curve,The surface obtained by rotating the given curve about the x-axis on the interval,

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: (c) A= 58°, a = 9, b = 5 (d) A = 90°, b= 6, c = 8

A: (c) Given that,    By using sine rule,

Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: tx" + (t − 2)x' + x = 0

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Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: Find the exact value of cos 225. State restrictions on the following f(x): X x²-9

A: Use the formula:

Q: Find the Maclaurin series for the given function. 14e x What is the Maclaurin series of f(x) =…

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Q: Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The…

A: P(t) is increasing at a rate directly proportional to 600-P(t)P(0)=400

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: Find the general Solution For D-E y + y tanx = [cos²x] y ¹

A: The given differential equation is

Q: n = 1 (-1)"x" n

A: Given that the series we have to find the radius of convergence and interval of convergence

Q: Estimate the area under the graph of f(x) = x² +5 over the interval [0, 10] using 10 approximating…

A: We have given a function f(x)=x2+5We have to estimate the area under the curve in the given interval…

Q: Suppose f is differentiable and f' is increasing on an interval (a, b) (that is, f is concave-up…

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Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: 6. (a) The curve y = x², 0≤ x ≤ 1, is rotated about the y-axis. Find the area of the resulting…

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Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: Find all relative extrema. Use the Second-Derivative Test where applicable. (If an answer does not…

A: To find all relative exrema of the following function.

Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

A: We are to find the change in horizontal distance of the fish from the angler. When it is 17 ft away…

Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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