{CLO-3} The critical number(s), if any, of the function O -1. 12.2 01/14 2 O 0, 1, 2 O There is no critical number. O-1, 2 -is (are): ƒ(x) = (x²-x-2)

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A: Given problem:- Given cost and price (demand) functions C(q) = 130q + 46, 300 and p(q) = - 2.6q +…

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A: A detailed solution is given below

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A: Here we have to find the centre of mass of a region.

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A: Solution of given question is written in below steps.

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A: Use minimizing concept

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A: Given problem:- The general solution of y" + y = sec x tan x

Q: and y = - V 8) Let ze, where x = √uv and Find dz dy in terms of u and v.

A: Use partial derivatives.

Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

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Q: 16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

A: Value of Sin(-π/2) is -1

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A: Given :y=(1.02)2

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A: The given problem is solved below in detail.

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A: Topic:- algebra

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: solution:-y=x2-2y=-x2+2let two value of x is -t & t , because the graph is symmetrical about…

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A: topic - trigonometric ratios and application of derivatives

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² x 10

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