Choose the correct answer. Derivative d O 9x9 O 8x10 09x8 .9 -x is equal to dx (Hint: Look at the note of section 2.3 example (a) in page 7. Use power formula) O 10 9x

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A: Please refer to the image below

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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Q: Mixed Partial Derivatives In Exercises 55-60, verify that way 55. w = In (2x + 3y) 57. w = xy² +…

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Q: This answer is w

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Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: 1 1 If g' (3) = 6 and h'(3) = 20, find f (3) for f(x) = g(x) +h(x). f(3) = (Simplify your answer.)

A: This is a problem related to differentiation. Please follow the general procedure given below.

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A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: Evaluate the following integral 8xyzdV in the region R where R: 2<x<3, 1<y<2, 0sz≤1

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Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

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Q: 23: Solve the initial value problem 2√ = cos² (y) and y(0) = 2. lease write your answer in the form…

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Q: If f(x) = x² + 2x and g(x) Answer 11 X , find f(g(t)). f(g(t)) =

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

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Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

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A: Please refer to the image below

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Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx