How many poles does the Laplace transform of y" – y = cos(2t) have, where y(0) = 0and y' (0) = 1? (Enter your answer as an integer) Type your numeric answer and submit

Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: 14. Use differentials to approximate the value of V620 to five decimal places. (Note V620 = 5.)

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Q: Find the 1st quadrant area bounded by y = vx – 2, X and x = 11 Provide a sketch; show 2 solutions…

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Q: 6. Evaluate: dædy Hint: Use dydx as order of integration.

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: Find hale reange Sine series Ex 2 (odd fourier sseries) For the function

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Q: Prove the hyperbolic identity of sinhxcoshy-coshxsinhy=sinh(x-y)

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Q: 9. Find the numerical Integration of cos(x) + sin (x) where n = 4 using trapezoidal rule.

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Q: to tal differential of eind the the り23 function ] 2=e + tan Z= Sin 2.

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Q: Write down an integral expressing the length of the curve y = cos x, 2 2

A: Apply the below formula: L=∫ab1+dydx2dx

Q: indefinite integral* ((sin^−1 (t))^2) dt

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Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: 4. A cannon ball is shot From the position (0,0,100) with initial velocity (100,120,40) when and…

A: Initial sped of the ball u=(0,0,100) x0=(100, 120, 40) Acceleration due to gravity g=(0,0,-32)…

Q: Find the average power of the signal: x(t) = cos x + sin x %3D

A: Given: To find the average power of the signal: x(t)= cos x + sin x

Q: Find F'(x), where F(x)= int. of ((t^2)+1)dt, from sin(3x) to x=-4. Use the 1st rule of the…

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Q: Integral sin( +6)dt

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Q: Use Fourier cosine transform to solve y" – y = 3e-4 y' (0) = 0 lim y (x) = 0, as x → o0

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Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: 26. a. Find a curve with a positive derivative through the point (0, 1) whose length integral…

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Q: When a particle is located a distance of x metres from the origin, a force of cos(x) Newtons acts…

A: The given question can be solved as shown in step2.

Q: 2 If the functions y = sin x and y = cosx are both subjected to a horizontal compression by what 3'…

A: Given: The function y=sin x and y=cos x are both subjected to a horizontal compression by 23

Q: ) 3x - 4x= sin社 ; at t=0,x==

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Q: Find the Laplace transform of tant. Show your full Solution.

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Q: prove that cosh(x + y) = coshx coshy + sinhx sinhy %3D

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Q: Expand Fourier function inthe rauge Co) %3D

A: Given that f(t)=cos2t where the period is π2. The fourier series is of the…

Q: indefinite integral* ((sin(t)cos(t))/ (cos2(t) + 6 cos(t) + 8))dt

A: The given integral is ∫sintcostcos2t+6cost+8dt. Apply the formula cos2t=2cos2t-1.…

Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: Using integration, derive the Laplace transform of: L(cosh at)

A: We will use the definition of laplace transform and concept of definite integration to derive the…

Q: A beam of length L is embedded at its left end and simply supported at its right end. Find the…

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Q: 4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the…

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Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: Determine h and N to approximate the integral e- dt within an accuracy of G = 10-5 using the (i)…

A: ii)  Equation is f(x)=exp(-x2).The value of the table for x and y x 0 0.25 0.5 0.75 1 y 1…

Q: 5. Find the area enclosed by the inner loop of the curve r = 1-3 sin 0

A: Area Between Functions With Integration: The interval of the inner loop of the given polar curve is…

Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)…

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Q: Differentiate: arctan(cosh(x)) Show all working out.

A: to find the derivative of arctan(cosh(x)) proceed as follows we know that ddxtanx=11+x2  apply chain…

Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: Show complete and orderly solutions. Simplify all final answers whenever possible. Using…

A: L(Cosh at).

Q: show that the differential forms in the integrals are exact. Then evaluate the integrals.

A: Here, we have   Assume ∫(0,0,0)(2,3,-6)2xdx+2ydy+2zdz                   (i)   Using the formula,…

Q: Use Romberg integration to approximate √² 2x² + x − 1 dx. Compute the Romberg table until Rij-…

A: The Final diagonal element is always consider the best estimate of the integral  I=∫abf(x)…

Q: Find the sine transform of and deduce that TUX e 1 tanh (p/2). |(2x) F, (cosech rx) = %3D

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Q: Find the definite integral using the Fundamental Theorem. 1 dt NOTE: Enter the exact answer. dt %3D

A: To find the definite integral.

Q: Evaluate the integration - 1 I = cos(3x)– 5 dx with h=0.4, Using 3/8 Simpson Rule. Write your answer…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

A: Given : ∫( 0 , 0 ,0)( 1, 2, 3)  3 x2y dx + ( x3 - z3 ) dy - 3y z2 dz

Q: Find the integration of the function given using Transformation by Trigonometric Functions. S sin*x…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: DEvaluate VFano do

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.