Test bank 1)- What is x[n]? x(t) = 5 cos (25 π t + π /4)...

Test bank

1)- What is x[n]? x(t) = 5 cos (25 π t + π /4) with Fs = 10 samples/sec

2)- How are Ts and fs related?

3)- What is the definition of the z-transform?

4)- What the poles and zeros of this function?

Expert Solution

Manojponduru answered 1 year ago

Consider the parametric equation of a curve: x=cos(t), y= 1- sin(t), 0 ≤ t ≤ π...

Consider the parametric equation of a curve: x=cos(t), y= 1- sin(t), 0 ≤ t ≤ π Part (a): Find the Cartesian equation of the curve by eliminating the parameter. Also, graph the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. Label any x and y intercepts. Part(b): Find the point (x,y) on the curve with tangent slope 1 and write the equation of the tangent line.

The position of a 50 g oscillating mass is given by x(t)=(2.0cm)cos(10t−π/4), where t is in...

The position of a 50 g oscillating mass is given by x(t)=(2.0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine: amplitude= 2cm period= 0.628s spring constant =5 N/m phase constant= -0.785 rad find initial coordinate of the mass and the initial velocity.

1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad] gives the simple harmonic motion...

1a. The function x = (5.1 m) cos[(4πrad/s)t + π/4 rad] gives the simple harmonic motion of a body. At t = 3.2 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? 1b. A block of mass M = 5.10 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k =...

Consider the spiral path x(t) = (cos^2t,sin^2t,t) for 0 ≤ t ≤ π/2. Evaluate the integral...

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1.The domain of r(t)=〈sin(t),cos(t),ln(t+1)〉 is Select one: a. (−∞,−1] b. (π,2π) c. (−∞,−2] d. (−π,2π) e....

1.The domain of r(t)=〈sin(t),cos(t),ln(t+1)〉 is Select one: a. (−∞,−1] b. (π,2π) c. (−∞,−2] d. (−π,2π) e. ℝ f. (−1,∞) 2. The limt→πr(t) where r(t)=〈t2,et,cos(t)〉 is Select one: a. 〈π2,eπ,−1〉 b. undefined c. 〈π2,eπ,1〉 d. π2+eπ e. 〈π2,eπ,0〉 3.Let v(t)=〈2t,4t,t2〉. Then the length of v′(t) is Select one: a. 20‾‾‾√+2t b. 20+4t2 c. 20+2t‾‾‾‾‾‾‾√ d. 20+4t2‾‾‾‾‾‾‾‾√ e. 6+2t‾‾‾‾‾‾√ f. 1 4. The curvature of a circle centred at the origin with radius 1/3 is Select one: a. 1 b. 1/3 c....

n = 5 p or π = 0.15 P(X<2) =

a. (5 Marks) 1 1 cos(x)cos(y) = -cos(x-y) + -cos(x + y) 1 l sin(x)sin(y) =...

a. 1 1 cos(x)cos(y) = -cos(x-y) + -cos(x + y) 1 l sin(x)sin(y) = -cos(x-y)--cos(x+ y) 1 l sin(x)cos(y) =—sin(x-y) +-sin(x + y) A DSB-FC (double sideband-full carrier) signal s(t) is given by, s(t) = n cos(2rr/cf)+ cos(2«-/mt)cos(2«-fct) What is the numeric value for the AM index of modulation, m, fors(f) ?

3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4...

3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4 ≤ t ≤ π/4. (a) (2 pts) Find the Cartesian form of the curve. (b) (3 pts) Sketch the curve. Label the starting point and ending point, and draw an arrow on the curve to indicate the direction of travel. (c) (5 pts) Find an equation for the curve’s tangent line at the point √2/2, −√2/2 .

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Check all of the following that are true for the series ∑n=1∞(n−3)cos(n*π)n^2 A. This series converges...

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