Assume that x=x(t) and y=y(t). Let y=x3+5 and dx/dt​=4 when x=3.   Find dy/dt when x=3.

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A: Given query is to find indicated derivative.

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A: We know f'(x) decreasing when f''(x)<0 The slope of f(x) positive when f'(x)>0 The slope of…

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Q: Convert the Cartesian equation (x-3)²+(y+1)² = 4 to polar form.

A: Given equation:- x-32+y+12=4

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A: We need to determine correct option.

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A: Given, The demand function q=D(x)=700/x​,

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A: As we know that: Maclaurin series for the cosx centered at x=0 is given by f(x)=∑k=0∞(-1)kx2k(2k)!…

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A: we need to find out the correct option.

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Q: 10. Determine whether the following series converge or diverge: (Integral Test) a) En=2 In (n) n 1…

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A: Here, it is to find the arithmetic sequence with a common difference d=-5 .

Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

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Q: 9. Determine whether the following series converge or diverge: a) Em=o -2n

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Find the function g(z) satisfying the two conditions: 1. g'(x) = -4096 - 1³ 2. The maximum value of…

A: To get maximum value of g(x) we put, g'(x)=0 So, x³= -4096 So, x= -16 is a critical point of g(x)

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Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

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Q: Question 3. Use linear approximation to approximate 1.1 to 6 decimal places

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Q: Create an inequality for the scenario below, identify the boundaries and points that are part of the…

A: Given: Shane and Abha are collecting cans and bottles. Each can earns = $1 Each bottles earns = $2…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4;    zeros…

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Q: Problem 4. Find the local inima, local maxima, and for the functions: (a) f(x, y) = a¹ (b) g(x, y) =…

A: Please see the below picture for detailed solution.

Q: Find the dot product and the angle between the vectors, ū and v. 2. (3,-5), (7,4) 3. (-3,0), (5,7)…

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Q: Approximate the area under the curve y = x² from x = 0 to x = 3 using a Right Endpoint approximation…

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Q: 3. Using vertical Shrinking and stretching, sketch the graph of the given functions in the same…

A: I have solved step by step in detail....go through the solution

Q: 2. Show that csc(2t) = tan(t)+cot(t) 2

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Q: A particle is moving with acceleration a(t) = 24t+ 8. its position at time t = 0 is s(0) velocity at…

A: A particle is moving with acceleration a(t) = 24t + 8, its position at time t = 0 is s(0) = 16, and…

Q: Differentiate the following function: f(t) = √t - 1 Aft

A: Please see the below picture for detailed solution.

Q: The range of Q(x) is -4 ≤ Q(x) ≤ 3. What is the range of -Q(x)? ! <-Q(x) ≤i i eTextbook and Media !

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A: Given query is to find the integral.

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Q: e² Find nd dz S 1 28 Submit Question

A: Solve the following

Q: Evaluate the following integrals. 1. 2 xe e²x dx

A: according to bartleby guideline we do only first part of multiple  1)   formula for integration by…

Q: 42. Given that "sin'x dx-, what is sin¹0 do?

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Q: If the series y(x) =" is a solution of the differential equation 2y" - 1ay = 0, then Cn+2 = n=0 C-1,…

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