Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region between x = /16 - y² and x = √√√4-y²

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Q: (a) Estimate the area under the graph of f(x) = 4/x from x = 1 to x = 5 using four approximating…

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Q: Group A1) Consider the succession (an) defined by; an = 379an-1-378an-2, n22 and ao = 0 e a₁ = -377.…

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A: Mass f(x, y, z) = ∫x∫y∫zzx2+y2+1dxdydz Let x = r cos(θ), y = r sin(θ), z = z So, the mass integral…

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Q: Q3: Use Secant method to find the root of the function f(x): f(x)=x²-6 with xo =3 and x₁=2 . Do 5…

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Q: 4. Given that √2 is an irrational number. Show that 5+ 3√2 is an irrational number.

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Q: Use Green's Theorem to evaluate(¹-28) O-96 O-75 O 105 -2y) de- (62-4ry") dy where C' is shown below

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Q: Evaluate the following integral: S² S²x₂ √2/² x + yz dxdydz 2y

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