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A billboard of height b = 7 meters is mounted on the side of a building with its bottom edge at a distance h = 8 meters from the street. At what distance x should an observer stand from the wall to maximize the angle of observation θ? Find x using calculus.
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
jack and jill ran an 100 meter race. jill ran the race in 10 secs and won by 5 meters, thus jack was at 95 meter when she crossed the finish line. who will win the second race and by how many second?
Find Probability Of M Ms In A Jar. A jar contains 15 M&Ms: 4 red, 5 green, and 6 yellow. Two candies are picked from the jar (no replacement).
Write a simplified expression for the weekly revenue and Construct a table of values and graph the function
One group of men was provided with access to an exercise program and tested two times over a 6-month period for heart health.
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
the length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 514 yards, what are the dimensions?
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
Suppose you wish to build a spa on a wood deck. The deck is to be built 4 ft above level ground. It is to be 50 ft by 30 ft and is to contain a spa that is circular with a 14-ft diameter. The spa is 4 ft deep.
Compare the effectiveness of the above two numerical methods as the step size is decreased. You should consider accuracy, speed and storage space (for example the matrix of the linear system must be stored for the first case).
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
A gun has a muzzle speed of 90 meters per second. Find two angles of elevation that should be used to hit an object 160 meters away? Neglect air resistance and use g = 9.8, textrm{m}/textrm{sec}^{2} as the acceleration of gravity.
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