S(e3x-e 2x -e*)*dx

Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

A: Solution:

Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

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Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: 4. Evaluate •5 (4 – 2.x) dx - 2,

A: topic - definite integral

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

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Q: an best be evalu er Formula nometric Transf nometric Formu

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

Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

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

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

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Find the general solution of y' =y sec x. A. y = C (secx+ tan x) B. y= C (sec x – tan x) C. y = C…

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Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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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: 5/10 Question 7 of 9, Step 1 of 1 Correct -2 2 The demand function for a particular product is given…

A: Given problem:- The demand function for a particular product is given by the function D(x) =…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: Find the partial derivative. 6. z = (x² + 4x – 2y)° dz

A: We have to find out derivative

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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

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Q: cIn2 e*dr = } 1 So Select one: O True O False

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

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Q: 5. J 12 csc (-6х) cot (-6x) dx 6. J2x3 cot х4 dx 7. S xª sec (x5 - 9) dx 8. S tan 3 x dx

A: The given integral are 5) 12 csc(-6x) cot(-6x)  6) 2x3 cot(x4)

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

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Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

Q: Find the area of the plane region bounded byy x, x = -2 and x = 2. Answer:

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: SIL- W : x² + y} < 9, 0<z<6

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Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

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Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: Select one: O True O False

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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: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

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Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $546 each for 83…

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Q: x+1 1.

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Q: Write an equation for the ellipse that has vertices (+7, 0) and co-vertices (0, ±6). Provide your…

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Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: If c is a critical number of function , and if f" (c) < 0, then which of the following statements is…

A: To solve the following problem

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

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Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: Jy csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соѓу+ coty dy D) None E у…

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Q: (D² +6D+9)y=e³* 3x

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Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t) = e""i+e-tj K(t)

A: To find out the k(t).