Problem for the week of July 18
Find the distance between the two parallel lines x + 2y = 4 and x + 2y = 8.
Caution: The answer is not 2.
This problem is solvable using what you learned in Algebra 1 and Geometry.
Caution: The answer is not 2.
This problem is solvable using what you learned in Algebra 1 and Geometry.
Problem for the week of July 25
A full water tank is in the shape of an inverted cone with height 15 feet and diameter of base of 20 feet.
1. If water is running out a a rate of 5 cubic feet per second, how long will it take for the tank to empty?
2. What is the radius of the surface area of water when the depth of the water is 6 feet?
3. If h is the depth of the water at any particular time, what function represents the surface area of the water?
This problem is a fairly common one that is used in Calculus classes. Like many Calculus problems, in order to
be successful, you need to know basic geometry and algebra.
1. If water is running out a a rate of 5 cubic feet per second, how long will it take for the tank to empty?
2. What is the radius of the surface area of water when the depth of the water is 6 feet?
3. If h is the depth of the water at any particular time, what function represents the surface area of the water?
This problem is a fairly common one that is used in Calculus classes. Like many Calculus problems, in order to
be successful, you need to know basic geometry and algebra.
Problems for the week of August 1
1. What do f(x) = sin x, g(x) = x^3, and h(x) = 5/x have in common?
2. What do f(x) = cos x, g(x) = x^2, and h(x) = 8/x^6 have in common?
3. What is the difference between y = arcsine x and f(x) = arcsine x?
4. Use your calculator to graph f(x) = arcsecant x.
Note: x^2 means "x squared"
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2. What do f(x) = cos x, g(x) = x^2, and h(x) = 8/x^6 have in common?
3. What is the difference between y = arcsine x and f(x) = arcsine x?
4. Use your calculator to graph f(x) = arcsecant x.
Note: x^2 means "x squared"
Go to next page
