Let x be non zero. Find the derivative of the function x cos( 3 + 4 π). The required derivative is y'(x) = y = x cos

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A: To show that R is an equivalence relation we have to show that it is reflexive symmetric and…

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Q: a = 8. (f(x) = Ση(x – 8)") - n=0 Co C1 C2 C3 || Find Taylor series of function f(x) = ln(x) at C4…

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Q: 3) Use induction to prove: 7 - 1 is divisible by 6 for each integer n ≥ 0.

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Q: Which of the following graphs are connected? > 0 0 A. B. C. I R H N * # S D

A: Remark: Connected graph:  A graph is said to be connected if there exists at least one path between…

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Q: an cyclists were each asked the heir responses are given below. omplete the grouped frequency…

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Q: Angela deposits $1500$⁢1500 into an account with an APR of 4.3%4.3% for 88 years. Find the future…

A: Given deposit amount P=$1500Interest rate r=4.3%=4.3100=0.043Compounded weekly  n=52Number of years…

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Q: How do yoou get this answer in excel

A: The solver function in Excel is used to solve or optimize any equation (linear or nonlinear) or a…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 8y' +12y=90e³t,…

A: Solution given below.

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Q: ΤΟ 1 10 1 1 1 1 0

A: We find the characteristic equation, the eigenvalues, and bases the eigenspaces of the Matrix as…

Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

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Q: Let C[0, 1] be the collection of continuous functions on the closed interval [0, 1]. Decide which of…

A: Let C[0, 1] be the collection of continuous functions on the closed interval [0, 1]. Decide which of…

Q: Q2A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: Let [a,b] be a closed and bounded interval, let k∈ℝ, and let f:[a,b]→ℝ be a function. Suppose that f…

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Q: Calculate fff(x, y, z) dS For s f(x, y, z) ds = = x² + y² = 9, 0≤ z ≤ 4; f(x, y, z) = e¯²

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Q: Solve the Differential Equation 3y" - y' - 2y = 100cos 2x

A: We are given the differential equation      3y" - y' - 2y = 100cos(2x)  Differentiating w.r.t x…

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Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9. a. f(1,2)= b. fy(x, y) = c.…

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Q: * U V Q Consider the graph given above. Add an edge so the resulting graph has an Euler circuit…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: These are the problems on Laplace transportation of convolution type. These are solved step by step.…

Q: 3. Given the data 01 6 f(z)|19|23|93 259 construct the divided-difference table, and compute an…

A: NETWON DIVIDE DIFFERENCE TABLE IS GIVEN AS-:

Q: Consider the following integral equation. f(t) = 3t - 9 sin(t) f(tt) dt Take the Laplace transform…

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Q: Using Delta Epsilon Proof sin x 2. Prove: lim x-0 1.

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Q: Part 1 Use differentiation and/or integration to express the following function as a power series…

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Q: 3) Solve the following linear system using Cramer's Rule: x+2y+z= -4 y -z = -2 = 4 X 2y

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Q: Solve the initial value problem below using the method of Laplace transforms. y"-3y'-18y = 0, y(0) =…

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Q: Find a piecewise smooth parametrization of the path C (the edges of the triangle in space with…

A: we will use line integral for function F along the curve r(t)  ∫CF.dr = ∫ab F(r(t)) r'(t) dr

Q: 2) Compute the determinant of the following matrix: A = 00003 00034 00121 01221 22314

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Q: Please do A and C

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Q: If two inlet pipes can fill a pool in one hour and 30 minutes, and one pipe can fill the pool in two…

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Q: Discrete Mathematics/Graph the dual of a planar graph be planar? Theory: Must

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Q: Problem 17.33: Let I, J be ideals in a ring R and define their sum I + J as I + J = {x+y: € I, ye…

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Q: • Let a) f: IR₁ ->R₂ & f(x) = - = b.) f: IR₁ → IR₂ & f(x) = 2x² +7 EXC 3X 3 2 Do some appropriate…

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Q: Can you answer part D please

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Q: the Maclaurin series for the function in another way: Assume that f(x):= X 1-x-x² = Scan. n=0 ply…

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Q: 4/5 divided 1/4

A: 4/5 divided 1/4

Q: The output y(t) of an LTI system is related to the input x(t) by the following equation; d y(t) - 4…

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A: Using the given data, we can form the transition matrix as T=0.70.30.60.20.50.20.10.20.2.

Q: Use induction to prove: 7 - 1 is divisible by 6 for each integer n ≥ 0.

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Q: Determine the intervals on which the given function is concave up or down and find the points of…

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