This problem made no sense at all and shouldn't ever be tested on. It was absolutely terrible.

This was fine right until the polar stuff... but even that SHOULD have been easy.. if you can think straight.

Most confusing problem ever.. don't waste your time on the last part.. its kinda crazy.

You can solve this problem just from the information given.. as long as you remember the product rule. They make you solve for stuff that is already known. Joke.

As long as you know the mclaurin series for cosine you should be fine on this problem. If you don't you can still solve the problem right if you're good at math... i think i got it wrong.

http://www.math.duke.edu/education/webfeatsII/gdrive/Team%20B/Project/index.htm

Determine the length of this pipe by plotting points to get the equation of the pipe. Then use the integral of the square root of dx/dt^2 plus dy/dt^2 or some other form of ds.

http://athens.troy.k12.mi.us/imc/wb/lpct1.htm

Use Riemman sums to find the area of a graph. You will need to find the area under the left rectangles, then the right rectangles. Add these two up and divide by two to find the average.

http://www.joma.org/vol3/modules/clark/area_of_virginia.htm

This site is very simple. Just find the equation of the water curve by plotting points, and then determine the domain and range. Easy enough.

http://www.joma.org/vol2/articles/wattenberg/JOMA_article/water_fountain.html

This page is weird. All you do is put in a function and its derivatives, and the site will give you the graph and taylor series for it. Nice.

http://www.joma.org/offsite.html?page=http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/taylor.html

If you like graphing things this site is for you. It's not for me. All you do is change the coefficients for a standard function to create parabolas, circles, elipses, or hyperbolas. You can transform them, stretch them, etc.

http://www.joma.org/offsite.html?page=http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/conics.html

This website shows you examples of graphs of exponential functions and how to properly take the derivatives of them. Then you can learn how to graph tangent lines to the curves and find their equations. Helpful for beginning of calculus.

http://www.joma.org/offsite.html?page=http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/explore1.html

Solution: To solve this problem, cut a slice of the cake and set it on the x-axis. Then rotate the slice about the y-axis to create the cake. Approximate the graph of the piece of cake and use integrals with dx slices to solve for the volume of the cake.