What is the domain of y =f"(x) if f(x)=;(x-1)*?

Q: | cos ) sin(x) dx

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

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Q: (b) А — В (с) 2A (d) 2A – 5B

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Q: Find the sum of the convergent series. 6 Σ 9n2 + 3n – 2 n = 1

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Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

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Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: 15 of 19 sin x + cot c Which expression is equivalent to COs x sin x + tan x tan x + csc x O cot x +…

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Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

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Q: Find the interval of convergence of the series. (x - 4)n Σ 8+ 5n n=0 45 19 <x< 8 -1 < x< 9 -1 sxs9…

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Q: (x + 5)" Σ 5 In(n) n = 2

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Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…

Q: How does sinx/x + 2sinx behave as x approaches zero? A. -1 B -1/2 C. 1/3 D. does not exist…

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

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Q: f(1) . f'lx) dx

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Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

A: We have to find the volume of the given solid.

Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: Solve

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Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: 13. Use the Intermediate Value Theorem to show that f(x) = 2x° – 3 has a zero in the interval [1,2].…

A: Given:-f(x)=2x3-3 using the intermediate value theoremf(x) is continuous in the interval 1,…

Q: A Comapny's Marginal cost function is C^1(x)=17/√x) Where X is the number of units. Find the total…

A: Use integration for finding the cost function.

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: 4. Find the integral of your answer in problems 2a and 2b. CO

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Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: a.…

A: Given problem:-

Q: n=1 convergent, absolutely convergent or divergent.

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Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

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Q: Consider the real sequence {an} given by an = In(n + 1) – In(n +2), n e Z20 = NU {0}. Justify…

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

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Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F| = 350N 10…

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: 21. A group of 10 women and 6 men must select a four-person committee. How many committees are…

A: Let's find.

Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 3 |а2 — За + 2) da 2

A: