Compute the global extrema of f(x,y) = x² + 2y² on the domain %3D indicated: a) D = {(x,y) E R?:0 < x < 1, 1 – x < y < 1} b) D = {(x, y) E R²: x² + (y – 1)² < 2} %3D

Q: 3 а) J(x2 + 2х + 3) dx

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Q: Find the global minima and maxima of the function f(x,y) = xy2 on the region R where x ≥ 0, y ≥ 0,…

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Q: Evaluate X dp- (х -1)(2х -1)

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A: Given f"(x) = x-2     ,   x&gt;0   f(1) =0   , f(3)=0

Q: * Show Haat tax)+ han) = H メる ハーメ %3D

A: Explanation of the solution is given below...

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A: Here to use implicit diffrentiation method for solving the problem

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Q: What is the A B (C) D af - of f (x, y) = tan (x²y³ + 2xy)? dy [ sec 2 (x2y3 + 2xy (2 xy + 2y) 2 [sec…

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Q: Let f(x) = {x²ca-1), Sx²e2cx-1), lacos(2x - 2) + bx? x>1 f(x) will be differentiable at x = 1, if…

A: We have to solve given problem:

Q: In the graph, f(1) = 21, f(2) = 13, f(3) = 9, f(4) = 4. (1,f1)) y-f(x) (2.f(2)) (3.Л3) (4. f4)) 3 4…

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Q: Find the continuous lest squares approximation of degree 2 for f(x) = cos(xx) on [0,1]. %3D

A: Let P2(x)=a0+a1x+a2x2 is the continuous least square approximation of degree 2 for the function…

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A: A function is continuous at a point when the right-hand limit, left-hand limit, and the value of the…

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A: The function is fx, y=eyx+1. Find: ∫Cgradf·dr…

Q: het f be a bounded real-valued funtim on TR" Define (Mst)(a) = Aup {tla): Ix-al <8$ %3D (mg t)(a) -…

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Q: 4. Use Laplace transforms to solve the following initial value problems. (a) y"+2y-3y = 10 sinh 2t,…

A: Laplace transform.