Prove the following: a a) L{sin(at)} : b) L{t²} = s2+a² 2 s3

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A: We are given sin2x=78 and we need to find the number of solution in interval [π, 2π]

Q: the following functions Analytic or not? f(z) = %3D Z-z3 i f(z) %D 26 f(z) = -2* (cosh 2y – i sinh…

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A: To calculate the center of mass of a thin plate of constant density

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A: According to guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: Use the power series TiE(-1)x", \x| < 1 n- 0 1 + x to find a power series for the function, centered…

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A: Introduction: In exponential growth, a quantity increases slowly at first and then rapidly. We use…

Q: - 1 1- x z - 3 Consider the lines l1: 2-y = z+1 and l2 : 2 y-2: 3 Determine the intersection of {1…

A: Intersection of two points is the point whose coordinate satisfies both the equation of line

Q: Let F = yz?i+6y j+8Ē, and let S be the surface of the solid region bounded between the planes z - y…

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Q: Let R be the region bounded by the x-axis, the curve y = 3x*, and the lines x = 1 and x = -1. Set up…

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Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

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Q: 3 Celia plans to invest £4500 that offers r% nominal an. compounded monthly. Aft has £5803.94 in the…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Solution-Lets draw the curve and the lines and identify the bounded area.

Q: If a, b, c are non-zero real numbers, then |bc ca ab hon

A: Introduction: The determinant is defined as a scalar value related to the square matrix. If X is a…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 18n…

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Q: Sketch with directio

A: Given:  Three polar coordinates. We have to sketch the graph with their directions.

Q: (a) compute the eigenvalues and the associated eigenvectors; (b) for each eigenvalue from part (a),…

A: Given: 2) dxdtdydt=-5-2-1-4xy To find: a) Compute the eigenvalues and the associated eigenvectors.…

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Q: (a) For each c, find a basis for the columns space of A. (b) For each c, find a basis for the null…

A: This is a problem of linear transformation.

Q: Find the Taylor series generated by f at x = a. f(x) = - X a = 2 (- 1)"(n + 1)(x – 2)" OA. Α. Σ 2n+1…

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Q: Propesitien het (X, Tx),(Yo Ty) be top. spaces, Let fiX Y a bijective wmap then the following be…

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Q: Euler method,

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: - Find the Z trans form of the casual sequences (a) { K-3Y (6) { Kt2

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Q: (a) Starting with a = 1.6, b = 3, do 4 iterations of the secant method to estimate where f(x) = (x?…

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Q: The radius of convergence of representation of

A: Introduction: The radius of convergence of the power series f(x)=an, is the radius of series, when…

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Q: 00 161 n + e 20 n is The sequence 2n + tan '(103 n) /}. n=1 O divergent as its limit is 0 161 O…

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Q: 9⊙10 4 = ?

A: First we multiple 9x4 after that we apply the module 10.

Q: Consider the following two ordered bases of R3: B {(1, –1, –1), (–1,0, 1), (1, –1, –2)}, C {(2, –1,…

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Q: The sum of three numbers is 6. If we multiply the third number by 2 and add the first number to the…

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Q: Use a triple integral to determine the volume V of the region below z = 6 - x, above z = -2Vx² + y?…

A: To find- Use the triple integral to determine the volume V of the region below z = 6 - x, above z =…

Q: 5. Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred liquid is…

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Q: Suppose 4 friends start a corporation and are deciding how to split the 80 ownership shares of the…

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Q: Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment…

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Q: Problem 1A. Use Lagrange third order polynomial to interpolate the value of f(x) at x = 2.25, given…

A: To find- Use Lagrange third order polynomial to interpolate the value of fx at x = 2.25, given the…