Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

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A: To find, F'(a) and G'(a)

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Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: 8. Using any work found in Question 7, det 2 3x (x²-5)³ dx

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

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Q: 1. Use the limit definition of derivative (no shortcuts!) to find the derivative of f(x) = 3x² + 2x.

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A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for…

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A: limx→∞ x2+8x3-11x=limx→∞ 1xx2+8x1x(3-11x)=limx→∞ x2+8xx23x-11

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Q: √(x + 3) dx √16-x²

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