Use the Laplace Transform to solve the differential equation d²x dt² + 16x = f(t) dx Given further that x=0, = 1 at t=0, and dt f(t) = {cos4t 0≤t≤π 0 t> π

Q: -2 2 1 1 3 -1 5 -2 -1 -2 Let A = | 0 0 2 -1 1 2 -4 4 5 8 -1 1 2 -2 -1 -4 1 Calculate det(A).

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Q: For what values of of p, the following series is convergent. 1 Στα n(Inn) (ln(Inn))P n=3

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Q: Prove the following proposition: For all integers a and b, if 3 divides (a² + b²), then 3 divides a…

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Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

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Q: for Convert the inequalities below to equalities by adding sack variables. Use 81 and 82 variables.…

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Q: b. find the rector along which I decreases most rapidly at the point (1,0)

A: Given that f(x,y)=e2yx-x3y+4 . I have solved both parts.

Q: The bearing from city A to city B is S 20°E and the bearing from city B to city C is N 55°E. (See…

A: The bearing from city A to city B is S 20"E and the bearing from city B to city C is N…

Q: 5) Using transformation and integration, find the area of the region that is enclosed by the ellipse…

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Q: Determine whether the information results in one triangle, two triangles, or no triangle at all. 5.…

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Q: Use mathematical induction to prove that for each natural number n, 3 di- vides n³ +23n. Compare…

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Q: 3 Calculate the following limits. In each case, clearly state any facts or results you use (for…

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Q: 4. The measure of the angle between a - b and −j-k

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Q: Suppose that f:[0,2]→R is differentiable, f(0) = 0, f(1) = 2, and f(2) = 2. Draw a sketch and cite…

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Q: 74 72 70 68 66 Height (in inches) 2 62 60 Height = 51.46 + 1.728 (Shoe Size) ● 4 5 6 7 ▼ 8 9 Shoe…

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Q: u = (2,-5) and v= -3i+ 7j COMPUTE: 1. proj, u MADE WITH

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Q: x= -2 | x=-1 y L X x = 1 x = 2

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 6.Solve the problem. Nail polish remover is essentially a mixture of water and a chemical called…

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Q: (c) What are the conditions on the common difference d and initial value a, that would make the…

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Q: Q17D. Define the sets A, B, C, and D as shown. Find (An C) U (B n D). A C C

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Q: e Euler's Method to find approximate values of the solution of the given initial value problem at =…

A: Given initial value problem is: y'=-ty+0.4y3,  y0=1.0. Using Euler's Method We have to find the…

Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile…

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Q: Let T: R³ R4 be the linear map given by T(x, y, z) = (x + 3y – 2z, x + 4y, x − 8z, 2x + 7y – 2z)…

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Q: 15 yu √ Find Cartesian equation For the curve represented by the parametric equation x = e²-6₁ y = e…

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Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: 3. Let S be the set of people in the United States. Test the following binary relations on S for…

A: Given that, S be the set of people in the United States. We have to test the following binary…

Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: II. For every odd prime q, define M₁ = 29-1. Let p be a prime divisor of Mq. 1) Prove that ord,2 =…

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Q: Use Newton's method to estimate the two zeros of the following function. Start with xo = 1 for the…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: The rule of the derivative of a function f is given below (but not the rule of f itself). Find the…

A: f'(x) = (x - 1)(x - 6)(x - 8)  => f"(x) = (x - 1)(x - 6) + (x - 1)(x - 8) + (x - 6)(x - 8)  Now,…

Q: 1. g(t)-3fq(u)du = cos 7t

A: As per guideline only first question is solved.

Q: 7) y = 1 2 sin (20 + 150) - 1 60 120° 180° 240° 300° 360 8) y = 4sin 4sin (+45)+1 A 180° 360° 540°…

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Q: The graph of f(x) = (2x + 2) (5x + 5) is given below. -3 -2 -1 5 L₁ (2²Z 3 Use the limit definition…

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Q: For the following problems, simplify the expression (which means, write the smallest non-negative…

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Q: A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the…

A: Given: A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above…

Q: 나이 4y = S =

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Q: Using exactly four fours, any of the operations + - X÷ and brackets if required, can yo make an…

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Q: Use convolution integral to solve the following IVP: y" + 2y' 15y = e-5t; y(0) = 0, y'(0) = 0.

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Q: . The slope of the surface z = ry2 in the æ-direction at the point (2,3) is. slope of this surface…

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Q: For the following problems, simplify the expression (which means, write the smallest non-negative…

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Q: (b) Prove that if a, b E I are distinct, then there exists a c strictly between a and b such that…

A: Given a,b∈I are distinct. Without loss of generality, suppose a<b. Let f be a function on I such…

Q: Differentiate the function y = -5eº + 7log1 O a. y' = 0 O b. y = 7log1 -5e⁰ O c. y = -5e + 7

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Q: Find the volume of the solid between the spheres x² + y² + z and inside the cone 2² = x² + y². = 4…

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Q: Euler's Me (a) Use Eul function

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Q: Evaluate the following integral using the Simpson's Rule by-hand. Hint: Will you use the 1/3 or 3/8…

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Q: The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a…

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Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: Find the work done by F = 5xy³i + 9x²y²j in moving a particle once counterclockwise around the curve…

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Q: Find the sum of the series E n=o 2nn! a) none b) FE c) re d) e-2 e) e ²

A: The given problem is to find the sum of the given series sum of 1/(2nn!) from n=0 to infinity.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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