(b) If a > b and c > 0, then ac > bc.

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A: Please see the answer below.

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A: Solution: x(t)=t3-3  and y(t) = 2t2

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A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: Topic:- application of derivatives

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A: Topic:-  vector algebra

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Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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A: topic - derivative of a function

Q: 25х3-9 3. x*

A: topic - integration

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A: This question can be solved by using the concept of some special integrals.

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A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

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Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Question 7 Given f"(x) = 2z – 6 and f'(- 2) = – 4 and f( - 2) = 2. Find f'(x) = and find f(4)…

A: Given query is to integrate and find the function.

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A: To find out the integration.

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Q: 2. The function g(x) is defined for -3 sx< 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…