(i) y2x4 JS(x+y²x² + y)dxdy y=x=0

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A: Wallis Integral formula :

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Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

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A: Given that,

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A: Use algebraic concept

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A: The given function y=2x4-3x3+x2+6

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Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

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Q: [1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3]…

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Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

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A: The sum of two positive real numbers x and y is 12.

Q: S₁ (3x²³ - 2x^²) dx -2х) -1

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Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

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A: We can solve the question as below and as per the asked method.

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Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

Q: 6) 10 xdx (1-x2)3/2 S, T₁

A: See the details solution in below

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

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A: Differentiation