5 In(3x) dx sln²(3x) + C

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: (b) f(x, y) = 3.03 + 3y2 – 4 ln y, a = 0, y = 1, dr = 0.01, dy = -0.01. since fa (x, y) = 3.3x-1+ 0…

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Q: Find the average value of f(x, y) over the region R. F(x, y) = x R: rectangle with vertices (0, 0),…

A: Given problem:- Find the average value of f(x, y) over the region R. f(x, y) = x R: rectangle with…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

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Q: sint In(cos t)dt

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Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: (a) u v (b) n.n (c) v||? (d) (u v)v (e) u (3v)

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Q: 1.) Use the integral test to determine if the series is convergent or divergent: E 2e-31 n =4 If it…

A: We are given a series  ∑n=4∞ 2e-3n We have to determine whether this series is convergent or not…

Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

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Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We have to find the volume of the given region according to the given information

Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…

A: Use the formula for the average value and concept of mean value theoram.

Q: The radius of the circle 2x? + 2y? – 4 = 0 is equal to 2 units. O TRUE O FALSE

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Q: J In(x² + 1)dx

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Q: dx 7. S; x³ Vx2-4

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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Q: 5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

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Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

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Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: Consider the function f(x) = 4T + 3 on the interval (2, 5]. Find the average or mean slope of the…

A: use slope formula for finding the slope of f(x).and value of c

Q: 1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your…

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Q: Sketch the region of integration. (Select the correct graph.) "In 3 dy dx In y y y

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Q: Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the…

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: A light shines from the top of a pole 20 m high. A ball is falling 10 meters from the pole, casting…

A: We sketch lines on the given image as below: Let us assume x = The height of the ball = BG.  y =…

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: 17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard…

A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A: To solve the given problem use the following formula. ln (e x) = x

Q: Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy if…

A: Here we have to determine whether the given function is continuous or not.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: (c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii)…

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: Given the function below find the value of f(-5). * [2x² + 1 if x -5 33 NONE OF THESE -78/25 O 51…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: For each of the following series determine for series convergence or divergence. (a) Ratio Test: E…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: ... * * Find the component form and magnitude of the vector v with the given initial and terminal…

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Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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