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A particle is projected vertically upward with an initial velocity of 48 ft/sec and moves according to the law of motion s= 48t - 16t^2
[a] determine the velocity and acceleration of the particle at time t=2[b] how high will the particle go?[c] when will the height of the particle be 32 ft?[d]how long will it take for the particle to reach the ground?[e] what is the instantaneous velocity of the particle when it reaches the ground?
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
A karate match is held on a square mat that has an area of 676 square ft. what is the length of the mat?
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85.
H = 4.8sin(pi/6)(t-10)+7.6, where domain of t is [0,24], and where t=0 corresponds to 12AM. When is the water level rising and falling? Find the relative extrema of H and interpret your results.
carolyn and kim are selling lemonade this summer. It cost $0.10 to make each cup pf lemonade . they are going to sell each cup of lemonade for $0.25 . What is the least number of cups of lemonade they need to sell in order to collect $10.00 more t..
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Suppose P(t) is the monthly payment, in dollars, on a mortgage which will take t years to pay off. What are the units of P'(t)? What is the practical meaning of P'(t)? What is its sign?
Normal distribution with mean and variance
the demand x for a hand-held electonic organizer is given by p = 5000(1-4/4+e^-0.002x) where p is the price in dollars. Find the demands x for the prices of (a)p=$600 and (b) p = $400
If the distance from top to bottom is 2 meters and the window may be no more than 1.5 meters wide, find the dimensions of the rectangular portion of the window that lets through the most light.
find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))
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