5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2- 5 -4 -3 -2 10 -1 2 3 4 t-1 t=0 it 6: Parametric Functions 6 3 2- 1- -5-4-3-2-1.0 -1 -2 -3 t 0 2- t= 16 2 4 -3 2 1 12 3 4 5 -1 1 -2 -4 ametric Functions Test 6: Parametric Functions t 16 1- 1/2 3 4 5 -1...
3. Find a solution to the following differential equation y" + y = sec3 t 5 t-2.
3. Find a solution to the following differential equation y" + y = sec3 t 5 t-2.
This is a E-Math class
3. Find the general solution of the equation (4) t y(3) = t.
3. Find the general solution of the equation (4) t y(3) = t.
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
2. (20 points) Find the solution y (t) of the following differential equation: -{ 0t< 4 0 y"9y (t) y(0) = 1, /(0) = 0, t 4 3
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...
Match the equation with its graph. y=x²-x 10 2.5 8 2 2. y 1.5 4 -2 2 1 0.5 0 -2 2 10 X 2 5 4 y 3 -2 4 * 2 2 0 -2 -6 -8 -2
4. Find the solution to the differential equation y"+2y'+ 2y-S(t-) y(0) 0, y (0)-0 and graph it.
Above is a graph of y =
f(t)
Find;
1) g'(4) =
2) g''(4) =
6 5 4 3 2 1 2 -1 0 2 3 4 01 6 1 -21 Let gla) = * s(v) dt and use the graph to answer the following. Show your 0 reasoning
Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0, y' (1) = 1. +3 g(t) = M Solve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y'(0) = 7. g(t) = Σ Use the reduction order method to find a second solution ya to the differential equation ty" + 12ty' +28 y = 0. knowing that the function yı(t) = + 4 is solution to that...