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A: Given that: The cdf of random variable X is given as: FxX=12X3+X      where 0≤X≤1

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Q: Compute S x? cos(x³ + 3) dx

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Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question,…

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Q: The one-to-one functions g and h are defined as follows. g = {(-8, 3), (-2, 7), (2, 9), (7, 4)} h…

A: given that                                               g=(-8, 3), (-2, 7), (2, 9), (7, 4)h(x)=3x-2…

Q: 6. Evaluate: cin 4 a) (4x – 3) dx c) S* 2e* dx b) L, x²(-2x³ – 3)* dx d) ƒ dx e) S,(x + 1)(x² + 2x +…

A: (6) (a)To evaluate ∫254x-3dx Solution:…

Q: 1- Selve the follocwing first - order differential equation:- dy (xy+2ど)= xy + y a Xeて

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Q: (x² – 1) d x (x* + 3 x² + 1) tan-1(*-) dx

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Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

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A: Given that:x=t+t-1 and y=t2+t-2

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A: Rolle's theorem.

Q: · Expand f(x) = xx-x² in sine and cosine sercies within o≤x≤x

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Q: Integrate the function. √√36-x² dx O 18 sin O sin ¹ (-2) + x√/ 36 - x² + C +C 2 O 36x √√36-x²…

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Q: Find all values c in (−64, 64) such that f '(c) = 0.

A: From given information, it can be predicted that f(-64) = 0 f(64) = 0 To Find : all values c in (64,…

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Q: d dx [erf (x)] = = = = = = = = x

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Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

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Q: x 4° (1 - - 3x Find the values of A, so that the function f (x) = LAx? + 2x – 3 continuous for all…

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