Solve the problem.A stone thrown downward with an initial velocity of 34.3 m/sec will travel a distance of s meters, where s(t) = 4.9t2 + 34.3t and t is in seconds. If a stone is thrown downward at 34.3 m/sec from a height of 215.6 m, how long will it take the stone to hit the ground? Round your answer to the nearest second.
A. 11 sec
B. 7 sec
C. 4 sec
D. 15 sec
Answer: C
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Find the gradient field F of the function f.f(x, y, z) =
A. F = i + 2yj + 2zk
B. F = i +
j +
k
C. F = i +
j +
k
D. F = (x2 + y2 + z2)i +
j +
k
Solve the problem.If a rock is thrown vertically upward from the top of a building 112 feet high with an initial velocity of 96 feet per second, the height, h, above ground level after t seconds is given by h = -16t2 + 96t + 112, where h is in feet and t is in seconds. How many seconds will it take the rock to reach its maximum height?
A. 3 sec B. 6 sec C. 7 sec D. 2 sec
Solve the problem.It is determined that 75% of the student body of Piper School attended an assembly. If 174 students attended the assembly, how many students are enrolled at the school?
A. 232 B. 244 C. 229 D. 236
Solve the problem.The demand equation for a certain product is 6p2 + q2 = 1500, where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp.
A. dq/dp = -p/6q B. dq/dp = -6q/p C. dq/dp = -6p/q D. dq/dp = -q/6p