Winfield moving linearly in the xy-plane at a constant speed. he starts from the point (3,-1) and moves along the line y = -2x +5 at a speed of 3 units per second, healing toward the y-axis.

a. write parametric equations for winfield's location t second after starting.

b. at what time is winfield closest to the origin?

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3

In chemistry,n molecules of an ideal gas have pressure, volume, and tempersture that stand inthe following relation, where r is constant. solve the equation for n,the number of molecules. pv=nrt

If you apply the changes below to the linear parent function .f(x)=x what is the equation of the new function ? vertically stretch by a factor of 3 ; flip over the x axis