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A coin roles on the ground on a straight line on its edge with a constant velocity. For an arbitrary point on the edge, write down the location of the point as a function of time using a Cartesian coordinate system. Draw the graphs of the coordinate functions and find all the maxima and minima.
The dimensions of a rectangle are such that its length is 9 in. more than its width. If the length were decreased by 4 in., the area would be increased by 110 in.^2. What are the length and width of the rectangle?
An Alfa Romeo going at 70 mph requires 160 feet to stop. Assuming that the stopping distance is proportional to the square of velocity, find the stopping distances required by an Alfa Romeo going at 35 mph and at 140 mph (its top speed).
A body accelerates from an initial velocity of vo= +10 meters/sec at the rate of a=-9.8meters/sec/sec for t=6 seconds. What was the velocity at the end of the interval?
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated
Operates a fleet of small passenger planes
A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number. A motor boat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to ..
Compare the advantages and disadvantages of substitution and elimination methods with the matrix method to solve systems of linear equations and the relationship these have with matrix method solving.
a chemist needs 130 milliliters of 57% solution but only has 33% and 85% solutions available. How many milliliters of each should be mixed together to get the desired solution?
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid unti..
A cylinder is inscribed in a right circular cone of height 7.5 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
The fourth side will be built of cement blocks, at a cost of 30$ per running foot. Find dimensions of the enclosure that will minimize the total cost of the building material.
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