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If an arrow is shot upward on the moon with a velocity of 58 m/s, its height (in meters) after t seconds is given by H = 58t - 0.83t^2.
(a) Find the velocity of the arrow after one second.
(b) Find the velocity of the arrow when t = a.
(c) When will the arrow hit the moon?
(d) With what velocity will the arrow hit the moon?
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
a ladder 10 ft long rests against a wall. if the bottom of ladder slides away from wall at a speed of 2ft/s how fast is the angle between the top of the ladder and the wall changing when the angle is pi/4 radians?
Define a relation R on the set of all integers Z by xRy iff x+y = 3k for some integer k. Is R an equivalence relation on Z? Why or why not?
What is the probability of getting the indicated result
The dimensions of a closed rectangular box are measured as 90 cm, 65 cm, and 34 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
Estimate the relative error in the calculated surface area.
given that a line segment has endpoints (1,2) and (5,10), write a set of parametric equations that passes through these two points.
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
Seventy five percent of the students grading from high school in a small farm town attend college. The towns Chamber of Commerce randomly slecets 30 recent graduates and determines whether or not they will attend college.
A factory has two machines that produce bolts. Machine I produces 69% of the daily output of bolts, and 8% of its bolts are defective. Machine II produces 31% of the daily output, and 5% of its bolts are defective.
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