12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base should you stand to have the statue subtend the largest possible angle at your camera lens, assuming the camera is held 5 feet off the ground and the ground is flat? 150 150

Q: (d) 10*+3 = 62r

A: Given,  10x+3=62x

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A:

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A: Explanation of the answer is as follows

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A:

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A: We want to find absolute maximum and minimum.

Q: Example: Find C² sint]? Solution:

A: To solve the following problem

Q: Consider the parametric curve given below. = 2t3 - 15t2 +36t y = 2t3 + 18t2 + 48t

A: Tangent is horizontal at the where slope is zero ie.  dydx=0

Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

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A:

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A: Given that,  r1(t)=6t i+9t2 j+5t3 k,  r2(t)=t4k

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A:

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A: Use the properties of definite integral and solve the question.

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A: ∫ un du =un+1n+1+C

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

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A: We can solve this as follows:

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Q: 1. Use a suitable substitution to evaluate , (G) dx. Give you answer correct to at least 2 decimal…

A: Substitution is done for the function whose derivative is present in the numerator.

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A: By using standard formula.

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A: Here we have to check the convergence of the sequence.

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Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(x)

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A: topic - application of derivatives

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Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: Find the arc length L of the graph of r(t). r(t)= 4 cos(t)i + 4 sin(t)j + tk, 0 ≤ t ≤ 2π

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Q: 4- Find lim,: ( -) 10 20 (You cannot use numerical table method). tan(2)-1 tan?(2)–1)

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Q: Evaluate the definite integral. e141 i + e-j +t k )dt O e 4 – 1 i + (e-1 – 1) j +, k - 14 (e4 – 1) i…

A: