Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

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A: Let the three positive integrar are x, y and z

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Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Exercise I f(1, y)yz (a) Let f(r,y) = rỷ - . Then deduce that f(1,y)zy (Clairaut's theorem). %3D

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Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

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Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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A: use the definition of concave upward and concave  downward .

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Q: 5 Problem # 1: Differentiate y : /2х+3 Solution: Answer: Problem # 2: Differentiate f(x) = (3x – 2)…

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Q: Test the series below for convergence using the Ratio Test. 0.7" n=1

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Q: 3. f(x) = A. x = 0 B. x = 1

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Q: Whiteboard 21208780-7052-8916KS Rm 3 ebaut x- Gais ーズ+ メx

A: Given problem:- y=-x2 +2x, y=0  Volume using disk method about x axis