Q1. Find The derivative of the following functions a) G(2) = ² -dt c² +3 tan b). H(x) = [1² (² + 1 dl dt

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Q: Q1. Find The derivative of the following functions C² a) G(z) = √2 +² +4 3 ill dt tan r

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Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

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A: This question is based on integration by parts.

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A: Question no. 4,Given,           log6216=3

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Q: Given the function f(x) = x²-3x-4 x-2 Calculate: a) Intervals where the function increases and…

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Q: 13. SS R Y 3x² +1 proble dA R= {(x, y)| 0≤x≤ 1, -x≤ y ≤x}

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Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: La y dx + 2x dy where C is the path along y = Evaluate 2x² from (-1,2) to (2,8).

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Q: 1. Find the projection of = 61 +3j + 2k onto = i-2j-2k.

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A: This question can be solved by applying the formula for curvature.

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Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

A: Given,            The curve is y=x2 and the interval is 7,9.To find : Evaluate the area under the…

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A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. 00 1 k=1 k3 - k+1

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…