Problem #2: Use the given graphs to sketch the parametric curve x =f(0, y=g(1). х=f(t) y=g(t)...
Use the given graphs of x =f(t) and y = g(t) to sketch the corresponding parametric curve in the xy-plane. 1341
Use the given graphs of x= f(t) and y = g(t) to sketch the corresponding parametric curve in the xy-plane. AX g Choose the correct sketch below. OA OB. OC. OD. 3-
7. Use the graphs of ſand g to sketch the parametric curve x = f(0, y = g(). Indicate the direction of motion and the initial and terminal points. 2f0 4
3. Use the graph of r = f(t) and y = g(t) given below, to sketch the parametric curve: r = f(t), y=g(t). Mark with an arrow the direction in which the curve is traced when t increases. Do not try to find a formula for f(t) and g(t). Explain your work. f(0) 800 y st ont Cht 10 X 5+ -10
Can someone explain how to do this problem? 2. Let f(t, y) — х +у, 0<x< 1, 0 <y<1 < ,Y < !) (a) Find P (X 1 2 (b) Find P(X < 2Y)
Match the graphs of the parametric equations x = f(t) and y = g(t) in (a)- (d) with the parametric curves labeled I-IV.
Find the length of the curve given in parametric form by x = f(t) = sin(t) and y = g(t) = In( V1 – t) for t e [0,1/2).
Write the parametric equation for the curve 9 = (x-5)H(y+1)2 And x(t) v(r) Graphs of z(t) and y(t) are shown in the preceding figure Which figure shows the graph of parametric curve c(t)- (z(t), (t))?
A pair of parametric equations is given. x = y=t+3 (a) Sketch the curve represented by the parametric equations. -10 5 -10 5 10 -10 -51 5 10 * -10 -5 MM 5 10 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
2. Given two initial value problems, у" — р(г)у +q()у +r(x) with a <I<b,y(a) — с,1 (а) —0 (1) and у" — р(г)у + g(х)у with a < r <ь,y(a) — 0, and / (а) — 1 (2) [a, b) where p(x), q(z) and r(x) Show that given two solutions yı(x), y2(x) to the linear value problems above, (1) and (2), respectively, then there exists a solution y(x) to a linear boundary value problem above where y(a) %3D 0, у...