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A rocket travels vertically at a speed of 1300 km/hr. The rocket is tracked through a telescope by an observer located 11 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. (Round your answer to two decimal places.)
eet over a horizontal distance of 456 feet. Find the slope of the path. Round your answer to two decimal places.
Billy likes to go cycling. His bike has wheels of 75 diameter. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 250 revolutions. How far has Billy cycled? Give your answer to..
question a house contains one 12-foot-times-14-foot bedroom one 12-foot-times-10-foot bedroom and one
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
The following formula accurately models the relationship between the size of a certain type of a tumor and the amount of time that it has been growing: V(t)=400(1-e^ -.0024t)^3, where t is in months and V(t) is measured in cubic cintimeters. Calcu..
Find the rate of change of f at P in the direction of the vector u. Find an equation of the tangent plane to √(x + yz) = 2j at the point P(3,1,1).
Hiro is in the spirit club. There are 29 students in the club. Three of them will be picked at random to go on a retreat. What is the probability he will not be selected? Put your answer as a fraction.
A rect. prism has a length of (l), a width of (w), and a height of 1. Volume of the rect prism is 24cm3. Use your knowledge of volume and surface area to derive a function F(W) that represents the surface area of the rect. prism in terms of its wi..
Let s(t) = 64t - 2t2 represent the height in feet of a paper clip that is shot straight up in the air with a rubber band where t is in seconds. At what time is the paper clip at its maximum height
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
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