[x = t - 1 Q.1 Verify that the lines L₁ y=1-t lz=1-t and find the distance between them. and [x = 2t - 1 L₂ y = 1-2t are parallel lz= -2t

Q: What is the coefficient of the term containing x^2y in the expansion of (4x+y)^3?

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Q: 1. Solve x²-3x²10x + 24-0. Show at least one long division process.

A: Let P(x)=x3- 3x2 - 10x+24 P(2)=23- 3(2)2 - 10(2)+24=8-12-20+24=32 When x=2, p(2)=0. Thus x-2 is a…

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Q: H.w2: Use Runge-Kutta Method with (h= 0.1) to solve the eqaution y" + 3xy'-6y=0 with y (0) = 1,…

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Q: Sketch the following equation. Show work for finding asymptotes, critical points, inflection points,…

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Q: jw F(w). - A [a-acos (wir)] Tjw jwF(W) = -2A (1-c0s (NT)) Тјия ex jwF(W) = -2A (asin" (WI)) t F(W) =…

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Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

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Q: jw F(w). 2 TAW [a - acos( wt)] Tjw jw F(W) = -2A (1-COS (WIT) cos трия -2A Tjw jw F(W) = "a sin"…

A: Given:        jωFω=-ATjω2-2cosωT      Taking 2 as common         jωFω=-2ATjω1-cosωT We know that…

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Q: Identify and graph the polar equation. r=3 cos (40) What shape does the polar equation form when…

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Q: √√√(-) True f(x,y) dx dy False - L.T. 1.². f(x, y) dy dr

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Q: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

Q: jw F(w). jw F(W) = ·A TAW [9 - acos(wr) -2A (1 - cos (WT)). Tjw jw F(W) = -2A ((asin ² (WT)) 2 Tjw…

A: To explain the encircled step.

Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: Consider the function f(x) = 6√x + 9 on the interval [1, 8]. Find the average or mean slope of the…

A: mean value theorem

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: Find the exact sum of the following series (0.25)" (0.25)³ Σ(-1)n-1 n 3 n=3 (0.25)4 4 + (0.25)5 _…..…

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Q: Alden works in the city and lives in the suburbs with Nikka. Every afternoon, Alden gets on a train…

A: We need to determine the time Alden walks.

Q: Let R be the solid enclosed by the surfaces z = 3x² + y² and z = 8 – x² - y². Fill in the missing…

A: To find the missing limits of integration.

Q: Tutorial Exercise Find the limit, if it exists. lim (8+2) Step 1 Recall from Theorem 3.10 that if r…

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Q: sinx cosx 4 + sin¹ x X dx

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Q: Find the Maclaurin Series representation of the function f(x) = x cos(2x). (Hint: If you know the…

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Q: Calculate the vector area of the helicoid parameterised as follows: F(t, s) = (t cos s, t sin s, s)…

A: Please see the below pictures for detailed solution.

Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: The given function is fx=12x9x2-8

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A: Radius of convergence of the Power Series : Consider the power series                ∑n=1∞ an(x-a)n…

Q: Remaining "How Did I Do?" Uses: 0/3 Sketch two periods of the graph of the function p(x) = tan…

A: Please see the below picture for detailed solution.

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Q: (1 + y²) dx + (x²y + y) dy = 0.

A: The differential equation is given by 1+y2dx+x2y+ydy = 0                               ........1 To…

Q: 48. Using Properties Integrals Given 1 [*f(x) dx = 5, evaluate a. [ƒ(z) dz f(x) b. [1(x) dx - [1(a)…

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Q: Evaluating Expressions - Application Leah has a headache, and takes 800 mg of Tylenol. The amount,…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r = Without…

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Q: So F. dr - 0 for every closed curve Cin R, an open connected region. True False

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: U Find the point on the line -3x + 3y - 3=0 which is closest to the point (-2,-2). Answer is

A: Line equation is -3x+3y-3=0 The point is (-2,-2) The point on the line which is closest to this…

Q: Find an antiderivative of 9 x³ +6 25 26 Antiderivative = in the variable where x > 0. Remember to…

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Q: Question 2 (a) Find, by completing the square, the inverse Laplace transform of S+5 s² +8s+21 (b)…

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Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

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Q: jw F(w). jwF(W) = jw F(W) = - A - [ 2 - acos( wot)] Tjw -2A (1 - cos (NT)) Тјия -2A (asin" (WT) TJw…

A: The objective of the question is simply the trigonometric functions.

Q: 6 A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

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Q: 3. y= e3x e3x + 1

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Q: 7 Let f(x) = 8x³ + 5. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Question Find the average value of f(x) over the interval [0, 2]. Submit an exact answer using…

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Q: Classify the given differential equation according to its type, order, degree, and linearity. (+)*…

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Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

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Q: Find the indicated term using the given information. a45 = -137/5 , a17 = -53/5 ; a6

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Q: Question 8x + 1 Find the domain and range of f(x) 8x - 8 Express your answer in interval notation…

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Q: incorrect

A: To find dy and to evaluate when x=-5 and dx=0.4 for the function y=2x4-45x+1.

Q: dr Let A be the area of a circle with radius r. If dt = 4, find dA dt when r = 3.

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