QUESTION 6 Find the area enclosed by the x-axis and the curve x=4+3, y=t-7 O a. 44 + 3t dt 404 + 3t dt 06.261 -2534 -25%A4+31 Oc 125e - eat O d. 12/²3 - eat
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13) 13) x 2-4 -4 -2 4629-4 -2 y 7 -3 -7-7 4-2 -3 2-4-2 Y t) 2 1 10 x -10 B) A) O 10 C -10 O OC 10- D) C) o o o o
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
An LT-I system with the following differential equation y’(t) + 3 y(t) = x(t) has a Zero State Response of yzsr(t) = -2 exp(-5t) u(t) + 2 exp(-3t) u(t) when an input signal: x(t) = 4 exp(-5t) u(t) is applied to the system. What is the Zero State Response of the following system beginning at time t = 0 seconds, y’(t) + 3 y(t) = x’(t) -2 x(t) if the same input signal is applied to the system, and it...
1a) If z=f(x,y), with x=e^t, y= t^2+3t+2, upsidedown delta f=(2xy^2-y, 2x^2y-x) find z’(t) at t=0 b) parametrize surface (y-2)^2+(z-3)^2=4 Please answer asap for thumbs up, thanks
#4) The following signal x(t) is given (graph). Sketch (a) x(-t/3) (b) -2x(-3t+3) - 2 Please help me and explain the steps? I'm really trying to understand this. Thank you 3 F-1
a - e
(a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
A) If a particle's position is given by x = 4 -11t + 3t2 (where t is in seconds and x is in meters), what is its velocity at t = 1.0 s? B) Is it moving in the positive or negative direction of x just then? C) What is its speed just then and is the speed increasing or decreasing just then? D) At what time is the velocity equal to zero and what is the position at that...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
For the functions in questions 7-12, find the indicated values. 7. y - Acos(B(x -3) +4 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 2TX 3 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift -3cos|2|x- 1+0.4 10. У (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 11. y 2cot(3x) (a) Period (b) Domain (c) Range (d) Zeros (e) Asymptotes y-csc(-1x) 12. (a) Period (b)...