y-2 z+1 and y +1_2-3 2-3 x+2 v 33.

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A: Topic = Integration

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Q: 2 x²e¬2® dx. Compute

A:

Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: x sec (3x) tan (3x)dx

A: ∫ xsec3xtan3xdx

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A: the roots test ensure the convergence of series.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

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Q: Find the limit of the 4 n + 2 sequence lim . Show your work. V2 n+4 n- 00

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

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Q: (-55 96 -20 (2) Find the eigenvalues and one of the eigenvectors of the matrix A = -42 75 -16 -54…

A: The given question can be solved as shown in step2.

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Q: dy Consider the differential equation = 12y – 3y?. dt Use a phase-line analysis to find the…

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A:

Q: Consider the region R in the first quadrant bounded by x^2 + y^2 = 4, y = x and y = x/sqrt(3). (a)…

A: The given region is bounded by: x2+y2=4,y=x,y=x3

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Q: .4 + 5а* + 10 сos x + 2)dx ||

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Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: 7) A tumor is found with an initial mass of 3.5 grams. Its growth rate is measured and recorded in…

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Q: The antiderivative of the function f(x) 4 + 11x is + 5.5z2 + c 4 5.5x + c -4 + 22.0x2 + c -4 +5.5x2…

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Q: 15. Which of the following functions has an asymptote located at x = 2 cosine sine tangent cotangent

A: We have to choose the correct option from the given options

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Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

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A:

Q: 8. Which of the following is the solution to the equation sin? x+ 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Given query is to find the solution of the function.

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

A: To find the area inside both curves.