. Consider the function f(x) = (2 – r) /4r – a2. 1. Sketch the graph of f(x) (skip second derivative and concavity). 2. Compute the area of the region in the first quadrant bounded by the graph of f(x) and the r-axis.

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A: find inegration

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A: Given,

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Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

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Q: Find linearization L(x) of f(x) = tanh=' at a= 0 and use it to estimate f(0.01).

A: Topic:- linearisation

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Q: Q5: Differentiate the following: a. f (x) = In(3x + 2)5 b.y = (2x* + 1)tanx c. f(x) = etan(2x)

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Q: Choose the right value of the following integral sie3f(=) f' (x) dx. where f is a continuous,…

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Q: Q5: Differentiate the following: a. f(x) = In(3x + 2)5 b.y = (2x* + 1)tanx c.f(x) = etan(2x) %3D

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Q: A graph of f(x) is shown above. Estimate the following integral. 3.

A: The graph of the function f(x). We have to estimate the integral ∫03f(x)dx.

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

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Q: The psd of X(t) is given by [1+ @? for | @|<1 Sxx (@) otherwise Find the autocorrelation function.

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Q: Consider the following functions. 3 f(x) = Vx - - 3 3 g(x) = x – 3 Sketch the region bounded by the…

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Q: Differentiate the following function. y =x³ ex dy dx II

A: Our Aim is to differentiate the following function given below:-y=x3ex -(i)

Q: Q5: Differentiate the following: a. f(x) = In(3x + 2)5 %3! b. y = (2x* + 1)tanx c.f(x) = etan(2x)

A: Explanation of the answer is as follows

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Q: *********** - Integrate the following functions Ver f(x,y) = (x-1) =x the given reg y=x² Vegion

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A: Follow the procedure given below.

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Q: Q5: Find for the following functions: dy dx (4) y = x sinh 2x - cosh 2x

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Q: Which of the following is the graph of an antiderivative of f(x), shown below? f(x):

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A: We will find out the required value.

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Q: that is tompent ☺ Find the equation to the the Cime curve of fG)= (4-3)9 at x =l 4 (Tes f(x) =…

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Q: Consider the region bounded above by g(x)=−9x−9 and below by f(x)=x2 −9x−18. Find the area, in…

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