Write the integral in terms of u and du. Then evaluate. / 6xe* dx, u = -x? (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) dx = 3e" + C Incorrect

Q: onsider the following function. f(x) = x2 - 8x (a) Find the critical numbers of f. (Enter your…

A: Follow the procedure given below.

Q: Simplify the rational expression by using long division or synthetic division. x3 + x2 – 64x – 64 x…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph off…

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Q: 5. The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation…

A: Use relation ship between cartesian coordinate and cylindrical coordinates .

Q: 2) Given: x = t³ + 1, y = t² – t a) Find dy/dx and d²y/dx². b) For which values of t is the curve…

A: The given functions are: x=t3+1, y=t2-t

Q: 23n (n!)3 30. (3n)!

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Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: sinx 12. What is the best method is solving dx? - cosx A) Half-angle substitution B) Partial…

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Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: Use the limit laws to evaluate the limit. (x-19)2 lim X-19 x-361

A: limx→ 19x-192x2-361

Q: 4. If > Cn (T + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

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

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y?,…

A: Solving tangent equation

Q: Graph the function, not by plotting points, but by starting from the graphs below. y = 6 - (+* GY y…

A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

Q: Find a general term (as a function of the variable n) for the sequence {a1, a2, az, a4, ...} =…

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Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

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Q: 4/3 J48-x J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13 (x? +y?) (i) Express the integral J in…

A: This is a problem related to conversion of cartesian coordinates. Based on the general formula we…

Q: SEATWORK Solve two problems; one from each number. Submit clear and upright photos of your…

A: 1.a) A1,-2,3; B-3,1,2b) A-3,1,2; B1,-2,3c) A2,-1,-5; B3,1,-2 Note:    Multiple questions with sub…

Q: Let the region be bounded by the curves y= 2 /x and y = 4, and x 16. i) (ODraw this bounded region…

A: Given problem:- Let the region be bounded by the curves y = 2√x and y=4, and x = 16   i) Draw this…

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

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo…

A: W be the amount of water C be the amount of cola A be the amount of alcohol

Q: 8. Find a Cartesian equation for the surface whose spherical equation is p= 2 sin() sin(0).

A: Solve the following

Q: Consider the following function. H(x, y) = 7 In(3x²+y³) %3D (a) Find fr(2,3). (b) Find fyy(2,3). (c)…

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Q: Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = 3t2, y = 2t3,…

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Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: Determine the length of x =(y – 1)3/2 between 1<y< 4.

A: We can determine the length of the curve as below.

Q: -(-3у?-у-2)dy 2y3+y2+4y

A:

Q: A particle travels along the x-axis such that its position is given by a(t) = (t0.9 – 3t) cos (2t).…

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Q: Evaluate the integral. 5xdx 3.

A: Given: ∫345xdx

Q: in lim n' In n→∞ n!

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Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

Q: lecture(12.4): Here are the final grades for the students who took STAT683 last semester.…

A: The mean of data N number of data x1, x2, x3, ..., xN is μ=x1+x2+x3+ ... +xNN The standard…

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 4 8. 1 1 + 4 + 4…

A: Solve the following

Q: cos*x _8. If S(cos³x · B) dx = A. -sin x + C, what is the B? С. cos x D. secx B. csc x

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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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: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: Evaluate the expression under the given conditions. 3 sin(0/2); tan(0): O in Quadrant IV (assume 0 <…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. V n8 + 5 n=…

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Q: _1. There is no function f(x) such that S f(x) = f (x) + C.

A: To determine whether the given statement is True or False.There is no function fx such that ∫fx…

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: 2r –1 15. Evaluate dx. (x– 2)(x+1)' A) hx- 2| + hịx + 1| +C C) -hx – 2| + Inx + 1|+C B) hx- 2| – hịx…

A: To evaluate: ∫2x-1(x-2)(x+1)dx

Q: 4. Tell whether the transformation appears to be a dilation. Explain. a. Yes; the figures are…

A: Tell whether the transformation appears to be dialatioan

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2…

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Q: 3-4 Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the…

A: See the answer below