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A driveway is built on an incline so that it rises 3 m over a distance of 20m. What is the angle of elevation of the driveway?
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
The surface area of this pyramid is 189cm squared The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface?
Use the first derivative test to locate and identify all relative extrema"
Increasing and decreasing intervals.
Find the median distance driven.
Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).
Show that vector p and q are orthogonal
An object is dropped from the top of the 625-foot-tall Waldorf-Astoria Hotel on Park Avenue in New York City. The height h of the object after t seconds is given by the equation h = - 16 t^2 t 625. Find how many seconds pass before the object reac..
Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is John driving?
a page with length 3 inches more than its width has 80square inches of printed area. the margins at the top and bottom are each 1 inch wide. find the dimensions of the page.
A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
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