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A 3-ft by 5-ft picnic table is placed on an outdoor patio measuring x ft by (x + 1) ft. Find a polynomial for the remaining open space on the patio (in square feet).
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.
Pulsar also manufactures a series of 19-in color television sets. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following function.
A kite is 220 feet long from the kite to the ground. The string makes a 45 degree angle with the ground. About how high off the ground is the kite?
A swimming pool has a small leak in it. The pool has 25000 gallons of water. The water is leaking out at the rate of 12 gallons every 7 minutes. In how many days will the pool be empty?
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 186 square feet?
at what value of t is the temperature changing the fastest?
A javelin is thrown in the air. It's height is given by h(x)= -1/20x^2+8x+6, where x is the horizontal distance in feet from the point at which the javelin is thrown.
in the second quarter sales increased by 15% for region B and region A had 1.5 times as many sales as region B. what were region A's sales in the second quarter?
find the z-score such that the area under the standard normal curve to the left is 0.23.
If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
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