find y if s is the midpoint of segment RT, T is midpoint of segment RU, RS = 6x+5, ST=8x-1, and TU=11y+13
Find the length of segment RS if S between R and T, the length of RS is 1/3 the length of segment RT, RS=3x-3 and ST=2x+6.
(1 point) Find y as a function of t if y" – 11y' + 24y = 0, y(0) = 6, y(1) = 5. y(t) Remark: The initial conditions involve values at two points.
1.Find the partial derivatives of the function f(x,y)=(8x+8y)/(6x-7y) fx(x,y)= fy(x,y)=
Find the midpoint of the line segment PQ. P(9,-2); Q(-5, -2) (x, y) =
(1 point) Find y as a function of lif y" - 11y +24y = 0 y(0) - S WI) = 4 W = Remark: The initial conditions involve values at two points. Problem 4. (1 point) Find the solution to the linear system of differential equations 59x +84 -42x - 607 satisfying the initial conditions (0) = 10 and y(0) -7. = X(t) = y = Note: You can earn partial credit on this problem.
Rs ) i2(t) s(t) Ideal FIGURE P15-12 15-13 In Figure P15-12 Rs-50 Ω, R.-20, the turns ratio is n= 1/5, and the source voltage is vs (1) = 440 cos 4001 V. Find expressions for vi (t) and v2(). Validate your answer using Multisim.
4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the total response for: ý(t) 13(t) 22y(t)-(t) +5x(t) x(t) e-Stu(t) With the initial condition y(0) 2 and y(0)-3 Identify the natural and forced response of the system. 6- Find the total response for: y(t) +2y(t) 17y(t) 4x(t) 8x(t) x(t) = e-Hu(t)
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
5. (13 pts) (x) = 2x° -6x° -18x a. Find the location of the local maximum(s) and minimum(s) off. You must show use of calculus. Use either the first derivative or second derivative test to prove they are maximum(s) or minimum(s). b. On what interval(s) is f(x) increasing? C. Use calculus to find and verify the location of any inflection points of f(x). d. On what interval(s) is f(x) concave up?
13. Find the length of the part of the curve
y=3/16e^(2x)+1/3e^(-2x) for 0<x<ln2
16 13. Find the length of the part of the curve y-で2" +-e-2x for 0-rS In 2. 29 64 13 16 16
16 13. Find the length of the part of the curve y-で2" +-e-2x for 0-rS In 2. 29 64 13 16 16