Question

I have a few questions that I'm not sure how to go about doing? This is...

I have a few questions that I'm not sure how to go about doing? This is what I was asked:

Use the table of transforms, linearity, and s-shifting to find F(s) = L (f(t)) for each of the following functions. Write the result as a rational function P(s)/Q(s).

1) f(t) = −4 + e^(−t)

2) f(t) = e^(4t) − 10 + sin t

3) f(t) = cos(2t − 5) (Hint: use the identity cos x ± y = cos x cos y ∓ sin x sin y.)

4) f(t) = e^(−2t) sin(3t)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Derive the Laplace transform of the following time domain functions A) 12 B) 3t sin(5t) u(t)...
Derive the Laplace transform of the following time domain functions A) 12 B) 3t sin(5t) u(t) C) 2t^2 cos(3t) u(t) D) 2e^-5t sin(5t) E) 8e^-3t cos(4t) F) (cost)&(t-pi/4)
MATLAB** I'm not sure what I'm doing wrong writing out my equation. I keep getting an...
MATLAB** I'm not sure what I'm doing wrong writing out my equation. I keep getting an error. It has something to do with the line with the function written out. Here's what I have: %3.2 clc clear close all %plot ?(?,?)=?(1+sin?), as a 3D plot on the domain ?∈[−8,8], ?∈[−8,8]. x=[-8:8]; y=[-8,8]; z=x(sin(y)+1); plot3(x,y,z) title('Plot 3.2')
How do I use the table of transforms, linearity, and s-shifting (if necessary) to find f(t)...
How do I use the table of transforms, linearity, and s-shifting (if necessary) to find f(t) = L^−1 (F(s)) for these? F(s) = (1/(s + 1) + (3/ s^2 + 4)) F(s) = ((s + 3)/(s^2 + 3s + 2)) For the second one I was given a hint to find the partial fraction decomposition first.
Hi I am trying to prove this statement but I'm not sure how to go about...
Hi I am trying to prove this statement but I'm not sure how to go about doing so. The statement is: Let q be greater than or equal to 2 be a positive integer. If for all integers a and a,whenever q|ab, q|a, or q|b, then q is prime.
How do I graph periodic wave functions electronically? Is it possible to use calc plot 3D...
How do I graph periodic wave functions electronically? Is it possible to use calc plot 3D or Wolfram Alpha? I'm trying to visualize y(x,t) = A sin(kx + wt + phi)
1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ? 2. If f(x)=∫x^2/1...
1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ? 2. If f(x)=∫x^2/1 t^3dt t then f′(x)= ? 3. If f(x)=∫x3/−4 sqrt(t^2+2)dt then f′(x)= ? 4. Use part I of the Fundamental Theorem of Calculus to find the derivative of h(x)=∫sin(x)/−2 (cos(t^3)+t)dt. what is h′(x)= ? 5. Find the derivative of the following function: F(x)=∫1/sqrt(x) s^2/ (1+ 5s^4) ds using the appropriate form of the Fundamental Theorem of Calculus. F′(x)= ? 6. Find the definitive integral: ∫8/5...
1.). Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes...
1.). Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 4.00 cm, a wavelength of 3.50 m, and a period of 6.25 s, but one has a phase shift of an angle φ. What is the phase shift (in rad) if the resultant wave has an amplitude of 4.00 cm? Hint: Use the trig identity 2.). Consider two sinusoidal sine waves traveling along a string, modeled as y1(x, t) = (0.2 m)sin[(6 m−1)x...
Answer each of the questions below. (a) Find an equation for the tangent line to the...
Answer each of the questions below. (a) Find an equation for the tangent line to the graph of y = (2x + 1)(2x 2 − x − 1) at the point where x = 1. (b) Suppose that f(x) is a function with f(130) = 46 and f 0 (130) = 1. Estimate f(125.5). (c) Use linear approximation to approximate √3 8.1 as follows. Let f(x) = √3 x. The equation of the tangent line to f(x) at x =...
i have a few. I'm just not sure how to even start writing the equation.. #1...
i have a few. I'm just not sure how to even start writing the equation.. #1 TM is a 9 year old male presenting to clinic with otitis media. Physician has decided to give Amoxicillin 90mg/kg/day in three divided doses for 10 days. Pharmacy has 400mg/5ml suspension available and TM weighs 88lbs. How much Amoxicillin will need to be given for 10 days and what instructions should be wrote on the label? (In milliliters) #2 FR is a 10 year...
1) State the main difference between an ODE and a PDE? 2) Name two of the...
1) State the main difference between an ODE and a PDE? 2) Name two of the three archetypal PDEs? 3) Write the equation used to compute the Wronskian for two differentiable functions, y1 and y2. 4) What can you conclude about two differentiable functions, y1 and y2, if their Wronskian is nonzero? 5) (2 pts) If two functions, y1 and y2, solve a 2nd order DE, what does the Principle of Superposition guarantee? 6) (8 pts, 4 pts each) State...