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A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
A local farmer has hired you to paint a cylindrical silo that is 50 feet high and has a radius of 10 feet. Every gallon of paint will cover 350 square feet. How many gallons of paint will you need to buy?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Can you use algebra to find a quadratic equation if you know the coordinates of just one point on its graph?
The faster ship makes the voyage in 50 hr. less time than the slower one. Find the speeds of the two ships.
Solving problems on venn diagram
The braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet.
Finding a straight line to a set of data yields the following prediction line: Y_hat=2 5Xi interpret the meaning of the Y intercept, bo
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
Find the exact value of the volume of a can of asparagus with a diameter of 8 centimeters and height of 10 centimeters. Include correct units with your solution. Use "pi" in place of the pi symbol.
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
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