Find the area of the shaded region. y=x-4 y= /2x 2. 8. 10 x -4 2.

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Q: 3 5) Differentiate with respect to x: y = %3D 3x e

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A: Given dydx=limh→0(x+h)2-x2hWe know that the limit derivative formula is f'(x)=limh→0f(x+h)-f(x)h

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Q: 1. Find the distance from the point S(2,-3,4) to the plane x+2y+ 2z =13

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Q: T between -1 and 1, then find a number c in [-1,1] where Find the average value fave of f(r) f(c) =…

A: This question can be solved using the concept of average value of a function in a given interval.

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Q: 15r If F(r) = and o is the surface (r – 3)? + y +z? = 49 oriented outwards, what is the value of F n…

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Q: 1. Find an equation for the plane through P,(0,2,–1) perpendicular to n = 3i – 2j-k

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2…

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Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

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Q: The Trapezoidal Rule ou e id b oblw Jeot en f (x) dx = h +f(x1) + f(x2) + ..+ f(xn-1) +f(xn)) b-a…

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