Find the linear approximation of the function at the given point. f(x, y) = 10x2-4y2 +8 at (5,6) L(x, y) = 100x - 48y-98 L(x, y) = 100x - 48y + 114 OL(x, y) = 20x - Sy + 114 L(x, y) = 20x-Sy-98

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A: .

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A: Consider the parametric equation

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Q: (a) (i) Prove from the definition of differentiability that the function x+3 a-2 is differentiable…

A: as per guidelines we are supposed to answer first question only.

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A: Consider the following. x = sin(6t),   y = −cos(6t),   z = 24t,   (0, 1, 4π)

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A: ∫abf(x)dx=8 ,  ∫ab(f(x))2dx=12 find the value : ∫ab(f(x))2dx-∫abf(x)dx2dx

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Q: Find the derivative of : yo √√x ²³² +1 (x+3) * (x-1)/3

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Q: Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x¹/7 (x + 8) (a) Find…

A: Consider the function below. Cx=x17x+8 (a) To find the interval of increase and decrease. (b) To…

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Q: 1. Find the area of the shaded region. a. y = 3r-r² y=r: (2, 2)

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A: To determine from the given graph whether the function has any absolute extreme  values on a, b.…

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Q: 7 Sin (3x) Sin (5x) dx

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Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= -x^2/4 +…

A: use the parameter to write eah rectngular equation as a pair of parametric equation

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A: The solution is shown in step-2

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