What is the estimate of the integral a. 0.14476 b. 0.10333 c. 0.11234 d. 0.10615 OC OB OA OD 1 2 dx 5+3x using 4-segment Simpson's 1/3 Rule?

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A: Average Velocity on a,b = s(b)-s(a)b-a.

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: 2. Evaluate: Lel el-1 dx

A: 2.The given integral,∫-12ex-1dx

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A: Follow the procedure given below.

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Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

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A: Note:- As per your request i am solving here question no. 3 part B only.

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Q: 1. f(x) = 4x² (8x + 1) 2. f(x) = (100x² + 25x)(10x² − 15x) 3. f(x) = (2x + 1)(4x + 3) (5x - 1)

A: Let's solve all given derivative by using product rule.

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

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Q: dx (4x²-9)3/2 17.f

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