3. S(3Vx + dx 2 (x+3) + C

Q: utolial Exeicise Use the Quotient Rule to find the derivative of the function. cos(t) (t) = %3! Step…

A: Use quotient rule for finding the derivative .

Q: T rsinx S"Stnx y dy dx 2 dx dy

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Q: Find an equation of the hyperbola having foci at (8, - 2) and (12, -2) and vertices at (9, - 2) and…

A: Here we have to find the equation of hyperbola having foci at (8,-2) and (12,-2) and Vertices at…

Q: Given the equation y = 5 In| 6y | Find the Implicit derivative " dy/dx" of the function. You will…

A: We can find the derivative as below.

Q: 7x+3x+1 10. 12. f-4) de dx 11.

A: Note to student : Hello student! Thanks for posting your queries. But there are multiple questions.…

Q: Consider the following function. g(x) = x3 − 2 Find its average rate of change over the interval…

A: Explanation of the answer is as follows

Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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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: 1 31 41 В' 25' 32

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Q: Hw) Salvethe diffequ

A: We need to solve D.E.

Q: Test the series below for convergence using the Ratio Test. 1.4" n=1 The limit of the ratio test…

A:

Q: sin lim-0 h z cos () a. ㅠ COS b. 플Cos() c. T sin ) d. e. 1 f. None

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Q: a) Determine if the geometric series below is convergent or not. Σ 10"-1 n =1 3n +1 The series is…

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Q: y = 4e" Vx et y = x2 – 1 x2 – 1

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Q: Example 2.10.1: Consider the following recurrence equation: T (n) = 2 T(n/2) + b n log n. (assuming…

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

Q: To find f(x), let y = (x) and solve for x, y x - 4 Interchange x and y In the expression for X, Find…

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: Explained below

Q: Find length of the curve described by the parametric equations x = T sin t, y = r cost, e <t< T. А.…

A:

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: In order to solve this problem we need to use the given formulae.

Q: a) Find the value of a such that the series 00 a E(-1)" is equal to . If it is not possible 2" n=0…

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Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

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Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY…

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Q: tan 7x i) lim x+0 sin 3x sin(x2 + 3x + 2) j) lim x+2 x + 2

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Q: Use the function f and the given real number a to find (f1)(a). (Hint: See Example 5.) X + 8 f(x) =…

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: :) Find the average value of the function f (x) = 2sin ( Tx) cos ( Tx) on the interval [1,5]. --;…

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: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y =…

A:

Q: Identify the inside function,  u = g(x),  and the outside function,  y = f(u). y = (x2 − 6x + 8)2…

A:

Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: he cost C (in dollars) of producing x units of a product is given by the following. C = 2.4 x +…

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Q: Use the function f and the given real number a to find (f ) (a). (Hìnt: See Example 5. If an answer…

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Q: Use the simple interest formula to determine the missing value. p= $968.97, r= 6.5%, t ?, i=$188.95…

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Q: (a) Find the derivative of the function y = cos(cos(e*)) (b) Let h(x) = g(x)/f(x). Use the following…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Evaluate the limit for the graph: lim fAx). 4 2 2. O does not exist 4,

A: We have too find the limit of the given graph.

Q: Find the canonical prime factorization of the following using Fermat’s Method and solve for the…

A:

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

A:

Q: X-1 Use a table to evaluate the limit, if it exists: lim x-2* 10 -10 does not exist

A:

Q: Vx - 2, y = x - 2

A: Given  y = x-23,    y = x-2 We have to find the area of the region bounded.   The graph is

Q: Suppose you know F(11) = 71, F(3) = 16, where F'(x) = f(x). Find the following. (You may assume f(x)…

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Q: 6. Which of the following is continuous at all points? B) f(x) = **+2x-35 ズ-5 xマ-4x-5 A) f(x) = x-5…

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Q: y" + ay' + by = 0 for the given basis. -4.3x 16. e2.6x

A: We have to find the ODE for the given basis.   According to our guidelines we can solve only one…

Q: Evaluate the definite integrals using the graph of f (x) below. 6- 4- 2- 4 6. 10 12 -2- -4- -6 3 (a)…

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Q: Complete the table. y = f(g(x)) U = g(x) y = f(u) 1. x +6

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Q: Given the differential equation y' = x2 + y? Take the Implicit Derivative of this function 2 times…

A: Given, the differential equation                                    y'=x2+y2 then take the implicit…

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

A: