a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

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A: Topic = Vectors

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A: Follow the procedure given below.

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A: The given power series is cn(x+2)n , n from 1 to infinity.

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A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

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A: We have to complete the given table according to the given information

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A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

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Q: 1. find af/ax andaf/ay .. ) (x. y) = Vx² + y

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Given the following function: 5x2 + 4 f(x) = 2x + 10 Step 1 of 2: Findf(4). Answer f(4) =

A: To solve this question, we will simply put x=4 in the function f(x).

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A: Here,             We have given  the rate of proliferation for the cells in a tumor varies depending…

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A: The given power series,   ∑n=1∞n!nnxn

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A: As per bartleby guidelines we only give first question answers.

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Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

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Q: Find the number of 3-permutations of a set with seven elements.

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Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

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A: Let's find.

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A: Please refer to the image below

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Q: Use the limit laws to evaluate the limit. x+14 lim X→-14 196-X Select the correct choice below and,…

A: Let,L=limx→-14x+14196-x2L=limx→-14x+14142-x2L=limx→-14x+14(14+x)(14-x)L=limx→-141(14-x)L=114-(-14)L=…

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A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

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Q: 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Find f. f'(x) = 6x – 3/x*, x > 0, f(1) = 7 f(x) =

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Q: . Consider the the curve y =(6x + 5)v6x + 5 from x =5 to x =11 a) Find the initial and terminal…

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Q: Use the limit laws to evaluate the limit. X+2 lim X1 X+1 Select the correct choice below and, if…

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Q: sec'x tan?x

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