1. In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2. (e) 2 (a) (x-3x)dx (f) x dx 99 -1 3 (b) [(x +3x-5)dx (g) [(412 – 3r ) dt 5/2 3/2 -2 3. (c) [(+2)(1-3)dt (h) dx .2 -2 3 (d) [( -9)(4-r)dt (i) 2

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Q: Differentiate the following function In z I y = 0 - 1/1/(x-²) I 1-ln z O O 1-r ln r r³ 0 1 I

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Q: (b) | sin(x) – 7dx -

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Q: Use a computer algebra system to compute f(k)(x) for k = 1, 2, 3 for the following functions: (a)…

A: given,        a.  f(x) = cot(x2)b.  x3+1

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Q: olve for the inverse fuction of f(x)=x/x+1

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Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: Consider the function f : RH→ R defined by f(x) = 2e(2z+5) log(2r+5) + If f convex or concave ? Why…

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Q: Use Cayley-Hamilton theorem to find (i) the inverse of A = (ii) A

A: This question is related to matrix, we will solve it using given information.

Q: 3. Region R is bounded by the given curves. Find the volume of the solid generated by revolving R…

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Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

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Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

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Q: a) f(x) = 1+ Sinx b) f(x) = x² + 2x- 1 c) f(x) = 2* + 2 for all x eR for all x eR for all x eR

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