4 16-y² •LIV (1 − g? _ g) dedy. 2. Use polar coordinates to evaluate

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A: As per the rules, we are supposed to answer the first question and rest can be reposted.

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A: We know slope intercept form of line ⇒y=mx+c

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Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

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Q: Sin 0=4/5 Find a g 1/5 where 40 < x 180

A: sinθ=45⇒θ=arcsin45+2πn, θ=π-arcsin45+2πn⇒θ=53.13∘ +360∘ n, θ=126.87∘ +360∘ n

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A: To find the determinant of given matrix.

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A: Given Equations:- log53+log58=log5 log25-log2=log257 log325=log35

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A: Here we have given an equation model as given below: Now solving this model we get:

Q: Problem 1. 1 (a) 100 2²2² + +9 dx Explain why each of the following integrals is improper. 4 1 (b) ²…

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Q: Question 6 Which of the following techniques is best to use to evaluate the given integral? A e 3+e…

A: Given, ∫ex3+e2xdx

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Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

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Q: 13. If f(x) = 4x²-4 x-1 A. I only x≠1 " C. I and III only 4, x = 1 I. lim f(x) exists x-1 II. fis…

A: We can solve this as follows:

Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: 11. If g(x) = 4x In x, find g'(x) A. 1+ lnx* C. 4+ lnx¹ B. +4 lnx D.

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Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

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Q: 2. 2 S² X (x + 1)² dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: We need to find y' and y''

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.)  log(4x + 3)…

A: Use the basic property of log function.