Given: y = 2x3 – 6x + 2 i. Determine its relative maximum point. ii. Determine its inflection point.

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A: I have stated the used formulas in the solution

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Q: Where does the relative maximum occur?

A: We have given a graph;

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Q: What is the greatest possible value of the y-coordinate? (x−3)2 +(y+4)2 = 36

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Q: What is the inflection point of the curve y = x3 – 3x2 + 3

A: The given equation is  y=x3-3x2+3.

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Q: Find the relative maximum and minimum values. Зx2 f(x,y) = + 10y2 + 3

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A: For the solution of the problem follow the next steps.

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

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Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 − 200t + 10,000 Where…

A: The given equation is C=50t2-200t+10,000 Differentiate with respect to t, we get dCdt=100t-200 Again…

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A: The height of the tunnel, in meters is y = -0.1 x3 +0.8 x2,     2≤x≤8

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Q: Find the relative maximum of the curve y = x5 – 3x3 + 20x – 2. A. 46 B.24 С. 32 D. 50

A: To find out the relative maxima of the curve.

Q: (C) f(r, y) = 4x2 – 5y2: maximum value = minimum value =

A: Given that  f(x,y)=4x^2-5y^2

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Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

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Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

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Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 - 200t + 10,000,…

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A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…