Problem 1 Find the Fourier transform of the given function. f(t) = 2A -t + A, 7sts ≤t≤ 0; T 2 2A T f(t) = =t+ A, - 0 ≤t≤ T f(t) = 0, elsewhere.

Q: the following matrix orth APT is diagonal.

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Q: 5) A machine sells sweets in five different colors: Red, Green, Orange, Yellow, Purple You cannot…

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Q: 12. Consider the function (z-y)2 f(x,y) = { if (x, y) = (0,0) if (x, y) = (0,0) a) Does…

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Q: Determine the area bounded by f(x)=x²-X and x-axis. A 1 4 unit² B unit² (C) unit² D ~/m 6 unit²

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Q: Iteration Method Solve for the root of f(x) = 5x² – 3x - 1 where x₁ = −4 -4 - 3 Solve for the root…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: How much will P54,200 be in 24 months at 4% compounded monthly?

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Q: Let X be a set. Let P be a set of subsets of X such that: • Ø & P; the union of all sets A € Pis X.…

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Q: Numerical Integration: r2 S 1 √x 1. dx

A: We have to evaluate the finite integral. ∫021xdx   Integration formula,  ∫xndx = xn+1n+1+c

Q: solve each equation in the interval 0<=\theta <2\pi  a)sec^(2)\theta =4 b) sec((5\theta )/(2))=-2

A: solve each of the following equation in the interval 0≤θ&lt;2π (a) sec2θ=4 (b) sec5θ2=-2

Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A: Solution

Q: If f(x) = x³ + x is a periodic function with period 2π, then the Fourier series will have the…

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Q: (c) s²+1 s(S-1)³

A: We do the partial fractions first and then find the inverse laplace transform. The detailed solution…

Q: y=-3x+5 -10 -8 -6 -4 -2 10 8 6 4 2 -2 -4 -6 -8 -10 2 4 6 8 10

A: Given :  y =-3x+5

Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: Find the Fourier transform of the given waveform. f(t) -2 -1 1 0 1 2 (s)

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Q: (1) Estimate the area under the graph of f(x) = 1/x from x = 1 to x=2 using five approximating…

A: Given graph: fx=1x from x=1 to 2 To find: Area under the graph.

Q: y Classify the DE: X- +xy= dy dx X (A) Linear but not Separable (B) Separable but not Linear…

A: Solution

Q: 4. What is the units digit of the number 31.000.000 a) 1 b) 3 c)7 4) 9 5. A scale model of a…

A: Unit digit of number of the form  xy follow a pattern when y is increased which depends on unit…

Q: 6. Perform the division by hand unless indicated with the calculator symbol. If the value is a…

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Q: Find the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

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Q: a b c.....there are 3 sub parts that you need to solve

A: As per the question we are given a recurrence relation in xn and we have to find : Generating…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: How many years are required for P5,000 to increase to P8,000 if invested at 12% per year compounded…

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Q: Given the following: xex cos x = 0

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Q: y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

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Q: The general solution of (D³-4D²)y=0 is A y=C₁ + ₂x + c3e4x By=c₁+ c₂e²x + c3e-²x Ⓒy=c₁+ c₂x + c3e-4x…

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

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Q: Setup the iterated double integral that gives the volume of the following solid. Correctly identify…

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Q: 20. The piecewise function of the Heaviside Switch function f(t) = 3H(t)- 2tH(t-2) + t²H(t - 4) is:

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Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

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Q: Solve the final solution for the differential equation with initial values: y(0) = 2 & y’(0) =6. Use…

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Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: Sketch the vectors with the initial point at the origin, also calculate the angle and magnitude? a.…

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Q: Evaluate: L-¹{- S-2 (s+ 2)² - 49 (A e-2tcosh7t 4 B e-2t(cosh7t – sinh 7t) 7 4 © e2t(cosh7t + 7 sinh…

A: Inverse Laplace transform using table values: L-1ss2-a2=coshat,   L-11s2-a2=sinhata First shifting…

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

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Q: 9. To solve tek ₁ [theat] = 10. Let cos(√2t)]= you may use: n! (s = a)n+¹ II. [teat] = (-1){(f(t)}

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: X+2 termine the case of the following proper rational function after simplification: (x² – 4)(x³ –…

A: Linear and quadratic factors

Q: ★ Use the Integral Test to evaluate the series for convergence. ∞ 1 In(In(n))2. n=2

A: Solution

Q: The time can be the amount of ti case the first value would be 0. Or the time can Jan 10.20 8.6 FEB…

A: To find: Vertical displacement of the given graph.

Q: Consider the function f(x, y) = x²(y + 1)² + k(x + 1)²y². (a) For what value(s) of k is the point…

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Q: Suppose that u € C² (R²) and u(x, y) = 0 everywhere on the boundary of the square ((x,y): 0≤x≤ R,0 ≤…

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: For the function f(x, y) = −xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

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Q: Create a table wherein it shows your score or your • class interval • class width • frequency •…

A: To create a table where a data is shown with the frequency, class interval and cumulative frequency.

Q: Determine inverse z-transform of the following equations: a. (z-2)²

A: We will use partial fraction method and table of z transformation to find inverse z transformation…

Q: 1. A proposition is a declarative statement. 2. Every false proposition is a contradiction. 3. If…

A: A contradiction is a compounded proposition that is always false

Q: Let m be a positive integer. Define the set R= {0, 1, 2, ..., m-1). Define new operations and on R…

A: Let m be a positive integer. Define the set R=(0, 1, 2, ..., m-1). Define new operations ⊕and ⊙on R…

Q: N (z−2)²

A: Follow the steps.

Q: Find the Fourier expansion of th function and dr periods of the

A: Given function: f(x)=x+πif -π&lt;x≤0πif  0&lt;x≤π   To find: Fourier series expansion of given graph…

Q: aquarium in a centre of nature in the shape of a rectangular prism. The aquarium is 10 feet long, 8…

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