d. y=191og74t e. g(x)=sin ¹(7-x) f. y = ln 1+x² xex

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A: To solve the following problem and find the correct options: f(x)=ln(x)x4.

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A: Given

Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

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Q: 97d A company that makes bicycles has determined that a new employee can assemble M(d), where M(d) =…

A: M(d)=97d22d2+7(a) rate of changr is M'(d)d dx(ab)=b×dadx-a×dbdxb2

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A: Given: f(x)=log(2x+5)

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Q: The function f has a continuous second derivative, and it satisfies f(1) = -4, f'(1) = 0 and f"(1) =…

A: The solution is shown below-

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A: Problem is how x3319=1393-13

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Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 F(s) = s² (S-1)² 5

A: According to question,Given function,Fs = 3s3-s2-3s+2s2s-12

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A: Given that expression dVdt=aV23-bVWe have to show that above differentital equation has solution…

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A: To find inflection points of the given graph

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Q: Find the triple integral of the function f(x,y,z) = x2cos(y+z) over the cube 3<x<4,0<y<pi,0<z<pi.

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Q: The graph of the derivative f' of a function f is shown. YA y = f'(x) LÄ 2 X = (a) On what intervals…

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A: We have to slove above limit problem

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A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

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A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

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A: Given

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A: Please see the below picture for detailed solution.

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A: Given integral:- ∫sec27ttan27t1-tan27tdt

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Q: Mr. Brust is running down his street. His position is given by the function p(t), where t is…

A: Mr. Brust is running down his street. His position is given by the function pt,  where t is measured…

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A: Hamilton's Method involves the following steps 1) Determine how many people each representative…

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Q: Find the mass of the rectangular prism 0<x<1, 0<y<4, 0<z<2, with density function ρ(x,y,z) = x

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Given: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…

Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis y 6…

A: see below the answer and calculation

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Q: You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction…

A: Please see the below picture for detailed solution.

Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: Let f(x)=−5x^4+10x^2+10 How many critical points does this function have?    How many inflection…

A: To find the number of critical points of given function.

Q: Use l'Hôpital's Rule to evaluate the following limits. In(x) I 2x2 - 3x + 1 xx x² + 4x - 1 1. lim x…

A: L'Hospital's rule is a general method of evaluating indeterminate forms such as 0/0 or ∞/∞.

Q: particle moves according to a law of motion  s = f(t),   t ≥ 0,  where t is measured in seconds and…

A: Here we have to use application of differentiation.

Q: Problem #8: Evaluate the following limit. lim (x, y) (0,0) If the limit does not exist then enter…

A: J=lim(x,y)→(0,0)xx+4y

Q: Consider the function f(x) = xe 2, 0≤x≤ 2. This function has an absolute minimum value equal to:…

A: Given function is f(x)=xe-2x, 0≤x≤2 Differentiate f(x) with respect to x.…