Remove arbitrary constant in the given relation. y = Ae²x cos 3x + Be²x sin 3x

Q: Remove arbitrary constant in the given relation. y = x² + C1 x + C₂ ex

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A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

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Q: The side of an equilateral triangle is found to be 6 inches in length with a possible error of no…

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Q: the percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to…

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Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

A: xy2dy=(y3-x3)dx  y(1)=2

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A: Given function:- z=x2-4xy2-8y

Q: 1. The total cost ($) incurred in producing z items is C(z)= 2500+300x -0.2x². What is the actual…

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Q: Which of the following infinite series con- verges conditionally? 8 4 1. Σ (-1)* 8k ln(k) + 6 k=1 2.…

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Q: Let f(x)=√√x and L(x) be the tangent line approximation of f(x) at x =9. Which of the following…

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Q: 2 كل ك 0.5 , 3- = (f(x رشد -

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Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n² + 25 Fill in the…

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Q: 8. a. b. Let s(t) 6t³ - 45t² + 72t be the equation of the position of a particle. Find a function…

A: As per Bartleby guidelines we're supposed to answer only 3 subpart of a question .  This question…

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Volume of the cone , V =13(radius)2(height).

Q: Consider the angle t defined by on the unit circle. y TO IND (3) I

A: Consider the angle t defined by the point 35, 45 on the unit circle. To Find:1 sint=?2 cost=?3…

Q: Find the critical point of the function: f(x, y) = 6 − 7x + x² + 8y + 4y² (x,y)= This critical point…

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Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate the…

A: Given series  ∑n=1∞1n+8

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Q: Use linear approximation to estimate √9.05.

A: see below the answer and calculation

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Estimate the area under the graph of f(x) = 2x² + 12x + 22 over the interval [0, 2] using eight…

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Q: Fill in the missing values to make the equations true. (a) log, 7 - log, 8 = log, (b) log, 11 + log,…

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Q: J. H. J.. By.......

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Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

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Q: Suppose that the cost, in dollars, for a company to produce a pairs of a new line of jeans is C(x) =…

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Q: Question 5 -5-4-3-2 lowest = middle highest = A = 3 نیا 2 1 For the above rational function f(x) =…

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Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent.…

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Q: 4. Use the Root Test to determine the converge or divergence of the series. " b. 21(3n+1)" a Σ=1…

A: The given series, a) ∑n=1∞n2n+1n b) ∑n=1∞2n+1n-1n c) ∑n=1∞n3n We have to test the convergence of…

Q: Differentiate y = arctan(2). y' =

A: Given: y=arctanx   As we know that: The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use…

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

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Q: A restaurant purchased kitchen equipment on January​ 1, 2017. On January​ 1, 2019, the value of the…

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Q: Let f(x) = cos x - x. Prove that f(x) is continuous on the closed interval [0,2].

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Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Given, rate of change of length, dLdt=5 meter/min. rate of change of width, dwdt=1 meter/min.…

Q: (1) Find the summation of the series +++++

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Q: f(x) = -5x x

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Q: ).  Use the Integral Test to determine whether the sum converges. ∞     n = 1 1   n + 8 Evaluate…

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Q: A spring has a natural length of 20 cm. A 40 N force is required to stretch the spring to a length…

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Q: Σ 8 η=1 sin ()

A: Given query is to find series converges or diverges.

Q: Question Let f(x) = (6+5)* f(x) has one critical value at A = For a A, f(x) is Question Help: Video…

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial…

Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6a³ + 45x² + 108. g'(x) =…

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Q: Solve the following first order linear differential equation. Show the outline of the solution and…

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Q: Question 6 Calculate the volume of a solid on the first octant and under the plane defined by…

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Q: 2 3 Perform a first derivative test on the function f(x) = x (x-2); [-2,2]. a. Locate the critical…

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