How do I graph this step function? f(t) = -3(2t-3)H(t-2) + (2t-1)H(t-1) Please show step by...

How do I graph this step function?

f(t) = -3(2t-3)H(t-2) + (2t-1)H(t-1)

Please show step by step.

How is it the same graph as

f(t) = H(t-1)-3H(t-2)+H(t-1)*2(t-1)-H(t-2)*6(t-2)?

Please show why as well.

Expert Solution

Colby Messinger answered 8 months ago

A periodic function f(t) of period T=2π is defined as f(t)=2t ^2 over the period -π<t<π...

A periodic function f(t) of period T=2π is defined as f(t)=2t ^2 over the period -π<t<π i) Sketch the function over the interval -3π<t<3π ii) Find the circular frequency w(omega) and the symmetry of the function (odd, even or neither). iii) Determine the trigonometric Fourier coefficients for the function f(t) iv) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number. v) Determine the Fourier series for the function g(t)=2t^ 2 -1 over the...

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) + c4cos(2t) that best fits the data points (0,0), (0.5,0.5), (1,1), (1.5,1.5), (2,2), (2.5,2.5), (3,3), using least squares. Sketch the solution, together with the function g(t) = t.

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) + c4cos(2t) that best fits the data points (0,0), (0.5,0.5), (1,1), (1.5,1.5), (2,2), (2.5,2.5), (3,3), using least squares. Sketch the solution, together with the function g(t) = t.

Find the derivative of the function. A) f(x)=(2+x^3)^2/3 B) h(t)= (t^4-1)^9(t^3+1)^8 C) y = e4x sin(x)...

Find the derivative of the function. A) f(x)=(2+x^3)^2/3 B) h(t)= (t^4-1)^9(t^3+1)^8 C) y = e4x sin(x) D) y= (x^2+2/x^2-2)^3

How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?

f(x)=x^3+x^2-x-1 Follow each step to graph the function. a.) Find the x-intercepts. If there are none,...

f(x)=x^3+x^2-x-1 Follow each step to graph the function. a.) Find the x-intercepts. If there are none, state the fact. b) Find the y-intercepts. IF there are none, state the fact. c) Find any vertical asymptotes. If there are none, state the fact. d) Find any horizontal asymptotes. If there are none, state the fact. e) Find any slant asymptotes. If there are none, state the fact. f) Find f'(x) g) Find f"(x) h) Find the domain of f. i) Find...

Calc 1 Use the 11-step process to graph the function f (x)=(6x^2)/(2x^2-8)?

6. The function f(t) = 0 for − 2 ≤ t < −1 −1 for −...

6. The function f(t) = 0 for − 2 ≤ t < −1 −1 for − 1 ≤ t < 0 0 for t = 0 1 for 0 ≤ t < 1 0 for 1 ≤ t ≤ 2 can be extended to be periodic of period 4. (a) Is the extended function even, odd, or neither? (b) Find the Fourier Series of the extended function.(Just write the final solution.)

Let r(t) = 2t ,4t2 ,2t be a position function for some object. (a) (2 pts)...

Let r(t) = 2t ,4t2 ,2t be a position function for some object. (a) (2 pts) Find the position of the object at t = 1. (b) (6 pts) Find the velocity of the object at t = 1. (c) (6 pts) Find the acceleration of the object at t = 1. (d) (6 pts) Find the speed of the object at t = 1. (e) (15 pts) Find the curvature K of the graph C determined by r(t) when...

What is normalzing a wavefunction and how do you do it step by step? Please show...

What is normalzing a wavefunction and how do you do it step by step? Please show TWO different examples (one for SHO question, an IPW question, etc) Thanks!

Question

How do I graph this step function? f(t) = -3(2t-3)H(t-2) + (2t-1)H(t-1) Please show step by...

Solutions

Expert Solution

Related Solutions

A periodic function f(t) of period T=2π is defined as f(t)=2t ^2 over the period -π<t<π...

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...

Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...

Find the derivative of the function. A) f(x)=(2+x^3)^2/3 B) h(t)= (t^4-1)^9(t^3+1)^8 C) y = e4x sin(x)...

How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?

f(x)=x^3+x^2-x-1 Follow each step to graph the function. a.) Find the x-intercepts. If there are none,...

Calc 1 Use the 11-step process to graph the function f (x)=(6x^2)/(2x^2-8)?

6. The function f(t) = 0 for − 2 ≤ t < −1 −1 for −...

Let r(t) = 2t ,4t2 ,2t be a position function for some object. (a) (2 pts)...

What is normalzing a wavefunction and how do you do it step by step? Please show...