Find the equation of the tangent line to the function f(x) = 3** at x = 1. (Use symbolic notation and fractions where needed.) y = Incorrect = 324 In (3) (x-1) +81

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Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

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Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

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A: See the details solution in below

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A: See this solution in below.

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

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Q: 1. Evaluate the definite integral *2³²√³+1 dr. (a) ² (27+2√2) (b) (27-2√2) (c)(2√2-27) (d)/(2√2+27)

A: I have stated the used formula in the solution.

Q: 1 -1 -2 Use the figure below to find the exact values of the following definite integrals. 6 8 10…

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Q: in winding up the cable when there is a 400-pound load attached to the end of the cable. ft-lb

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Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…

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Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

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Q: a. Use limits to find the derivative function f′ for the function f. b. Evaluate f′(a) for the given…

A: The given function,    fs=5s3+3s, a=-3

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Q: 17. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Concept of similarity along with derivative is used.q

Q: 2) Find the radian measure of angle 0 in the figure below. 22.5. a) O 2.25 radians b) O 4.5 radians…

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Q: Find the volume of the prism. 12 ft 27 2 ft 3/ ft V = [?] ft³ Write your answer as a mixed number…

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Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.

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A: This question is related to integration, we will solve it using given information.

Q: 5. Find three 2 x 2 nonzero matrices A, B and C such that B C and AB = AC = 0.

A: To find the matrices A, B and C satisfying the given conditions.