2. For the function y=2(x - 2)/2, where I > 2, find and simplify (a) an expression for the curvature p and evaluate it at the point i=5. (b) the rate of change of p at the point I = 2.
Problem 6: Verify that the problem y' -y13 and y(0) 0 Has two solutions: y-0 and y = (m3/2 which of the solutions would be reproduced by numerical integration if the initial condition is set at (a) y 0 and (b) y 10-16? Verify your conclusion by integrating with any numerical method Problem 6: Verify that the problem y' -y13 and y(0) 0 Has two solutions: y-0 and y = (m3/2 which of the solutions would be reproduced by numerical...
3. Find the length of the curve y = for 0 < I<2.
4. Given : 81 a Rewote the expression as a radical b. Simplify ( 81
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
Find: 1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
Question 2. (20 pts.) a) Simplify 2 < (57/2)) (2 < (--/3) 2« (-"%) b) Solve Z' + Z2 + 1 = 0
math232 Question 2. (20 pts.) a) Simplify 2 < (56/))(2 < (-1/3) 2 < (-/ b) Solve z' + 2 + 1 - 0
Describe in words the object in (x,y,z)-space, parameterized by the equations I=rcoso, ll y=rsin 0, where 0 <r <5, 0 <0 < 27.