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Q: 2V5 18. find In y 'dy dy 17. y + 4y In? y 2Vy de dt 19. 20. sec 0 + tan 0 tV3 + r + 2Vx – 1 dx 41³ –...

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If yo...

Q: Length of a curve Find the length of the curve --[Vvi-18 VVi - 1 dt, 1<x< 16.

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Q: Evaluate the double integral ∫∫R y / (1 +xy)2 dA, where R= [0,1]×[0,1].

A: Given integral is where R= [0,1]×[0,1].

Q: For this problem, we want to integrate f (x) = (x − 2)/(x^2 + 4). 5c please!

A: To integrate the below function by splitting the integral into two integrals. Split the integral of...

Q: evaluate the limit.

A: Evaluate

Q: 5. Determine which inverse trigonometric function g has the derivative g'(x) = x* +1

A: We find the integration of g'(x) For that use substitution x=tanz

Q: Let f (x) = x5 + x2. The secant line between x = 0 and x = 1 has slope 2 (check this), so by the MVT...

A: We plot f(x) and the secant line between x = 0 and x = 1 using a graphing calculator.

Q: Determine the sign combinations of f' and f" for each interval A-G in Figure 16. y=f(r) А всD EF FIG...

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Q: Determine where f (x) = (1,000 − x)2 + x2 is decreasing. Use this to decide which is larger: 800^2 +...

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