Evaluate the convolution between h(t)= e2u(t), and x(t)=2u(t).

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A: Sol  Correct option:- Maximum Point Explanation

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Q: 16. CRITICAL THINKING Try using an augmented matrix to solve the given system. What happens? What…

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Q: x² 11) Find a parametrization of the surface S which is the portion of the cone - + 25 25 and z = 3.…

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Q: Find the determinant of matrix A. A = 540 2075 4512 T -1 3 0

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Q: Given that f(x)× ₂(x)= even function. If (x) is an odd function, therefore the correct f(x) is f(x)…

A: Given: The product of f1x and f2x is an even function. f1x is an odd function. To determine: The…

Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

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Q: y" - 2my' + m² memx m

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Q: 7. What is the frequency of the tangent function represented in the graph below?

A: Introduction: The tangent function is the ratio of the sine function and the cosine function. This…

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Q: 3. Using Laplace transform, find the solution of conditions y(0)=3 & y'(0)=1. d²y dt² +2y = cos 2t,…

A: Given d2ydt2+2y=cos2t with initial condition y0=3, y'0=1

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A: The value of x and the corresponding value of f(x) over the period T are given  Here consider q=2πxT…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Find the streamlines corresponding to: f(z) = z²

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Q: Which graph has a matching?

A: We use definition of matching.

Q: The first five rectangular numbers are shown: . . 3 a. Make a sketch to represent the eleventh…

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Q: The table gives the values of a function obtained from an experiment. X 6 7 8 9 10 11 12 f(x) -5.3…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Solve the congruence x² = 79 mod91.

A: The given problem is to solve the given quadratic congruence equation. Given congruence x2=79(mod…

Q: Z a. Q = f(l, k) = (1+1¬ak¬B)' z, a & ß are positive constants ƏQ aQ Compute the mathematical…

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Q: In the half-range sine series expansion of f(t) = e^2t for Osts1, find b7. 14π[(1+e^2)/(4-49π^2)]…

A: Introduction: There are two different types of half range Fourier series. One is half range cosine…

Q: Consider the Initial value problem ry' = y + r ln(r); y(1) = 2 (a) Estimate y(1.5) using Euler's…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and approximate the…

Q: Let V and W be finite dimensional vector spaces, and let TE L(V, W). Prove that, for any choice of…

A: Solution:- Let  is an  dimensional vector space and let  is an  dimensional vector space . And  Let…

Q: 2. Consider the integral [² which can be computed exactly. a) Apply Romberg integration to estimate…

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Q: Kaitlyn, a fifth-grader, asked five of her friends in class which book is their favorite. All of…

A: Here the sample is five friends of Kaitlyn and the population is all the children of Kaitlyn's…

Q: Find the following using the table below. x 1 ƒ(x) 4 2 ƒ'(x) 4 2 1 g(x) g'(x) 3 2 2 3 4 1 3 3 1 2 1…

A: here we use chain rule to solve the question.

Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: Let f(x) = { 3x² + 2, بی کر 2x - 3, if x < 3 if x ≥ 3 be a piecewise function. Evaluate 3 √₁³ f(x)…

A: It is known that: ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: (a) Prove that any subgroup of Sn contain either even permutations only or equal number of even and…

A: As per guidelines we are allowed to solved one question at a time so i am solving first one please…

Q: Q1) Use the Newton-Raphson Method to estimate the root of f(x) = x - 2sin (x), employing an initial…

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Q: Convert (5,5) to rectangular coordinates: (solve)

A: Here the polar coordinate is  given as r, θ=5, π3

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: Given: f(x)=x2ln(x) To find: The intervals in which the given function is increasing and decreasing,…

Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: F=5x+36ysubject to 6x+4y≤354x+6y≤30x≥0, y≥0

Q: In 1960, an earthquake with a magnitude of 9 on the Richter scale occurred in Chile. In 1994, an…

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Q: η Σ (1) 5 k=1 k odd = 6" - (-4)" 2

A: Here we prove that ∑k=1k oddnnk5k=6n--4n2

Q: The first five rectangular numbers are shown: 2 3 5 a. Make a sketch to represent the eleventh…

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Q: 2. -2 -2- 2 y=√√16-1²

A: It is clear that y=16-x2 is an equation of the semicircle as shown in the graph. We have to find the…

Q: The following cyclic subgroups are all isomorphic: the multiplicative group (i) in 1)) or. C, the…

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Q: Q5: Find the solution of the following D.Es: 1-x+ 5y=x7 at x = 2.y = 1 2- y" + 4y + 2y = 13e³x

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Q: 4. A water glass is shaped like a cylinder with height 9 in. and diameter 4 in. How many times as…

A: Explanation of the answer is as follows

Q: Let C be the curve y = 12 11 10 9 8 7 6 15 2 x³ 4 + 25 1 3x for 0.6 x 3.7. Lay Find the arc length…

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