8-16. At time t = 0, a vehicle located at posi- tion x = 0 is moving at a velocity of 10 m/s. The velocity of the vehicle for the next 8 s is shown in Fig. P8.16. (a) Knowing that a(t) = acceleration a(t). dv = sketch the dt dx (b) Knowing that v(t) = x, sketch the position x(t) if the maximum posi- tion is x = 30 m and the final posi- tion is x = 10 m.

Solve: ex2ex=e2.

Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.

The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?

The volume of a gas in a container varies inversely as the pressure on the gas. If a container of argon has a volume of 336 cubic inches under a pressure of 2,500 psi, what will be its volume if the pressure is decreased to 2,000 psi?

G=4/5 - 1/3 x 2/15 + 4/45

8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

The cost(c) of transmitting electric power partly varies as the cube of the distance(d)and partly varies inversely as the temperature(t) in which the power is illuminated. When the distance is 5miles at temperature 15`c the cost is GHc1,010 and when distance is 10miles at temperature 25`c the cost is GHc8,006.Find an equation connecting c,d,t. Find the cost of transmission when distance is 40miles and temperature of 30`c

ds 5. V3s + dx

6. Solve for x. (17x-23) RST-(10x-2), find mRT. c-b 2 = 27x13 81*