Approximate the solution of the initial value problem (ivp) y'5 sin(2r) - y, (0) -1, from x 0 to x =1 with stepsize h-0.2 using: 1. euler's method, 2. the implicit euler method, 3. the trapezoidal method, 4. the modified euler (predictor-corrector) method,

Samantha swam upstream for some distance in one hour. she then swam downstream the same river for the same distance in only 12 minutes. if the river flows at 4 mph, how fast can samantha swim in still water?

The u-drive rent-a-truck company plans to spend $13 million on 320 new vehicles. each commercial van will cost $25 comma 000, each small truck $50 comma 000, and each large truck  $80 comma 000. past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

1: 4 if the wew 35 surfboards at the beach how many were short boards?