Convert the point (x, y, z) = ( − 1, 5, 3) to cylindrical coordinates. Give answers either as expressions, or decimals to at least one decimal place, with positive values for 0 and r. (r, 0, z) =

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A: Given: A triangle has sides of lengths 280 feet, 150 feet and 317 feet.Cost of land is $1600 per…

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A: A driver driving along a highway at a steady 48ft per sec Given differential equation d2sdt2 = -k…

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A: Let R be the region in the first quadrant enclosed by the graphs  of y=1+sin x, y=ex2-1, and the…

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A: Limit

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Q: Verify the formula by differentiation. √5x+8² −dx = In |5x+8| + C, x‡ The G|00 5 can be used to…

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Q: For the function g whose graph is given, state the following. 0 2 AM

A: from the graph we need to find the limits

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Q: 1. If the average value of the function fon the interval [a, b] is 15, then f f(x) dx = A. 15 b-a C.…

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Q: zy² z²+1 Round your answer to four decimal places. Find -dA, R= [0,3] × [-4,4]

A: Given that ∬xy2x2+1dA,  R=[0,3] x [-4,4] applying double integration   ∬xy2x2+1dA=∫03xx2+1y33-44dx…

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A: Consider the graph of the function

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A: y=ex3To find :           Find the differential dy when x=1 and dx=0.3           Find the…

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Q: A company determines that its marginal revenue per day is given by R'(t)​, where R(t) is the total…

A: Here we have  R'(t)=90et, C'(t)=90-0.5t

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Q: a. Write row 8 of Pascal’s triangle, and explain how you found it.  b. Write the 11th row of…

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Q: Find the linearization L(a) of the function at a. L(x) = 0 f(x) = √r, a = -8

A: Given function is fx=x3 Linearization of function is given as: Lx=fa+f'ax-a At a=-8 f-8=-83=-2…

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A: As per guidelines,  I can answer maximum one question. Since you have asked for multiple question,…

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Q: Consider the function p(x) = x4- 24x2     (a) Find the y-intercepts and x-intercepts of p(x). Label…

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Q: Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + √√3-x

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A: v(t) = 10t-5t2 v(t) is velocity of car.

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A: To solve the following problem and find the maximum, minimum and increasing, decreasing intervals.

Q: 3 (2 × - 8) (108 X – Logx-5)= x

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