Solve.The motion of a projectile that is fired at a 30° angle with the horizontal is given by x = v0
t,
for t in
Suppose a projectile is fired with an initial velocity of 600 feet per second at an angle of 30° with the horizontal. Find (a) the time when it strikes the ground and (b) the range (horizontal distance covered).
A. (a) 32.5 seconds
(b) 9743 feet
B. (a) 18.8 seconds
(b) 9743 feet
C. (a) 37.5 seconds
(b) 19,486 feet
D. (a) 9.4 seconds
(b) 4871 feet
Answer: B
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Use power series operations to find the Taylor series at x = 0 for the given function.x7 tan-1(4x)
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The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring.How many of each type of ring should be made daily in order to maximize the company's profit, if the profit on a VIP ring is $40 and the profit on an SST ring is $30?
A. 12 VIP and 12 SST B. 10 VIP and 14 SST C. 14 VIP and 14 SST D. 14 VIP and 10 SST
Find all six trigonometric functions of ? if the given point is on the terminal side of ?.
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Solve.As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.100x + 77.98 approximates the apparent temperature for an actual temperature of where x is the relative humidity percentage. What is the apparent temperature (to the nearest degree) for an actual temperature of 85°F and a relative humidity of 40%?
A. 82°F B. 78°F C. 118°F D. 312°F