EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

Q: 13) wnite the crroesponding recferge equation for tue curve represenfed dy tue parametic equatias x=…

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Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

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Q: Q(t) = Q0: 2-(t/140) If the amount of polonium left after 560 days is 80 mg, what was the initial…

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Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

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Q: A manufacturer has a steady annual demand for 15,190 cases of sugar. It costs $5 to store 1 case for…

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Q: If lim = 8, find each of the following limits. (a) lim f(x) f(x) (b) lim X 0 X

A: given  limx→0 f(x)x2=8

Q: (x – 2)y' + y = e“, y(3) = e³ +1

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Q: A cylindrical tank of radius 20 ft and height 6 ft is two-thirds filled with water. Find the work…

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Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Describe the graph of the equation. r = 3 cos t i – 18 sin tj+ k O An ellipse in the plane z = 1,…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

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Q: du for the integral dx du un dx Identify u and dx. | (5 – 6x?)5(-12x) dx u = du dx

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Q: Answers a) A=7In(so)

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Q: (b) Solve the following initial value problem: dy cos? t sin t y(0) = 2. dt

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Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

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Q: Find V. (F x G), if F(x, y, z) = 3.xi +j+ 6yk and G(x, y, z) = xi + yj – zk. V· (F x G)

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 n Vn8 + 4…

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Q: 7 Does the series 2 converge or diverge? n= 1 Choose the correct answer below. O A. The series…

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

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Q: at the point functron fts

A: The detailed solution is given below Thank you

Q: Find div F and curl F if F(x, y, z) = 9y%z®i – 4x°z1°j – 5xy°k. - -

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

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Q: QUESTION 13 nd all possible corner points of the feasible region described by the following system…

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Q: Please do it right

A: We have to solve

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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Q: Determine the following limits, using oo or - o when appropriate, or state that they do not exist.…

A: The solution is given below

Q: pind the area of an are petel of ra 8cos (30). petel is beunded by - Dend e= ņ Hint; one lineso2…

A: We have to find the area.

Q: y"ーy=

A: Given problem:- Solve the following differential equation y'' -y=xe-x

Q: Problem:

A: answer is in next step

Q: Determine the following limit. lim (3x - 6x° + 1) Select the correct choice below and, if necessary,…

A: Limits of the function: The limit of a function is a key notion in calculus and analysis that…

Q: Describe the graph of the equation. r = (6 – 31) i – 81 j O It is a line in 2-space that goes…

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Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: 7. For what values of m does the function y = e™ satisfying the following equation y" – 3y' – 10y =…

A: Here is the solution:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: 6x – 10,a -1

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Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Linear equations

Q: Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to…

A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: 5+a 5 lim, 0

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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Q: Lef foo) the Gempesition (foj)G) 2001 2nd gG6) = e²7#Defermine

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Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…