Please show all work. 3. x"(t) - y'(t) = -2t x'(t) + y"(t) = 0 x(O)...
please show all steps Find L{f}(s) directly by evaluating the integral if 2t when 0 <t<3, when t > 3.
Show work please! The curve (x,y) = (t3 – 4t, 2t) is graphed at right. 1. (12 pts) Find the area inside the loop of the curve. Ő 2. (4 pts) Write an expression for the length of the curve in the first quadrant. (Do not evaluate.) 3. (8 pts) Find the (x,y) point in the first quadrant where the curve has a vertical tangent line.
you can skip question 1 Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
3) Givenr"(t) = (6t + 4)+(-sint)i + (-4cos(2t))k, and r'O) = 0 and r(0) = 41 -1+k a) find r(t). 4) Givenf (x,y) = 6xły – yex-1 a) Find Vf(x,y). Show all support work! b) Find the direction of maximum increase of f(x,y) at the point (1,-1).
Please be neat and show all work, thank you. 3. Plot the following signals: a) 9.(t) = 11(2t+5) b) 92(t) = sgn(2t) - sgn(t)
Chapter 3, Section 3.5, Question 15 Find the solution of the initial value problem y" + 2y' + 5У-16e-t cos (2t), y (0)-4, y, (0-0. Enclose arguments of functions in parentheses. For example, sin (2x) Equation Editor Ω Common Matrix 亩。 sin(a) ca) tanta) sec(a) ese(a cot(a sin (a) y (t) Click if you would like to Show Work for this question: Open Show Work Chapter 3, Section 3.5, Question 15 Find the solution of the initial value problem y"...
Two transverse pulses on a string represented by y(x, t) = (0.02m^3)/(2m^2 + (x - 2t)^2) y(x, t) = (-0.02m^3)/(2m^2 + (x + 2t)^2) a) sketch each wave function as a function of x at t = 0 b) what is the resultant wave at t = 0 c) what is the resultant wave at t = 1 d) sketch the wave at t = 1
You are given the wave y(x,t)= - 5 cos ( 3 x + 2t) where all quantities are in SI. This wave propagates to the ___________________ and has angular frequency _________________. left; 3 Hz right; 3 Hz None of the other choices is correct. right; 2 Hz left; 2 Hz
A particle's trajectory is described by x =(1/2t^3−2t^2)m and y =(1/2t^2−2t)m, where t is in s. What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s ?
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it. 6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0