Find the general solution to y′′+ 16y= sec(4θ) using variation of parameters

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Q: An arrow is shot from the ground into the air at an initial speed of to= 108 ft/s. (a) Use the…

A: (a) Substitute the given value of vo in h=-16t2+vot. h=-16t2+108t  This obtained equation represents…

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Q: 5) Find the exact length of the curve defined by 1≤y≤8 5+2y%2 3 in the interval

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Q: Let a, b 0. Find f(100) (a) provided that (x − a)³ (a - bx)² f(x) = =

A: Using series expansion of (1-y)-2 Using Taylor's series expansion about x=a  When b=1,f(x)=x-a  So…

Q: Exercise 3.1.6 Consider the linear ODE u' (t) = u(t)- sin(t) + cos(t). (a) Find a general solution.…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 36. Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is…

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Q: Find the radius of convergence of anx" where cos(nT) e2n an n+1 6n n= if n is even if n is odd

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Q: In 17 years, Brockton is to receive $120,000 under the terms of a trust established by his…

A: Continuously Compound:  The formula for the compounded continuously is given by…

Q: Find the present value for a $110,000 investment for 11 years at a compounded continuously at 5%.

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Q: 5. Prove each of the following statements:. (a) If m, n are odd integers, then mn is an odd integer.…

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Q: Use the Fourier expansion to explain why the note produced by a violin string rises sharply by one…

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Q: Determine the area of the parametric surface S with equation R(u, v) = (u²+v², 2uv, u² −v²), where 0…

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Q: Find the critical points of the function f(x, y) = x¹ + y² − 64xy Answer: Starting with the point…

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Q: 7. (x² + y² + x) dx + xy dy = 0 ans. x²(3x² + 4x + 6y²) = c 8. [2xy exp(y) + 2xy + y) dx +…

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Q: B. Solve the problems related to the application of First Order Differential Equations. 5. Mixture…

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Q: In what follows, the function f is given by f(x) = 3+¹ (a) (i) Use Taylor's Theorem to derive a…

A: Given : fx=3x+1 To approximate the integral ∫01fxdx using Romberg integration technique with initial…

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Q: A curve is given by the parametric equations x = t^4− 2t^2, y = 3t^4 − 7t^3,− 2 ≤ t < 2 . Find any…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find all zeros of ƒ(x) = x2(x – 100)(x – 200). Then determine the multiplicity at each zero. State…

A: Given,           f(x)=x2(x-100)(x-200).

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Q: Find the critical point of the function f(x, y) = x² + y² − 3xy − 17.5x c= Use the Second Derivative…

A: Introduction: The second derivative test of the function f(x,y) is, Where D&gt;0 and fxx&gt;0, then…

Q: Use elementary row or column operations to find the determinant.

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Q: 2. Find Frenet s apparatus to the curve F(t) = (t, 2,) at t = 0 and deduce the fundamental…

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Q: 7. Consider a line in 2-dim space y = ax + b and a given point (ro. 30) not on the line. Please…

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Q: Q2: Solve the given Differential Equation by Undetermined Coefficient - Annihilator Approach.…

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Q: In each of Problems 13 through 16, determine the critical point x = xº, and then classify its type…

A: Given,         dxdt=-211-2x+-21.

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Q: 1. (a) Use the Fourier expansion to explain why the note produced by a violin string rises sharply…

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Q: Find three positive real numbers whose sum is 41 and whose product is a maximum. Enter the three…

A: Let the three numbers are x,y,z. Sum :- x+y+z=41 Product xyz should be maximum.

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Q: Find the absolute minimum and absolute maximum of the function f(z,y)=zy - 3y - 9z+27 on the region…

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Q: Which investment will earn more money, a $1,000.00 investment for 6 years at 11% compounded…

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