Cem

The question is asking me to find the volume of an egg using integral calculus. I know how I would go about doing this but what I really want to know is how I can make a function that will represent my egg. An ellipse function will help as you can transform to fit the shape of an egg but I am not quite sure how to get a function for the egg.

Using the trapezoidal rule can you integrate this function?

y = 1/SQRT(2Pi) * e^(-z^2/2)

So the first part is the 1 over the square root of 2pi then its multiplied by e (exponential) which is to the power of -z^2 over two. I had a go at this one but just couldnt get the answer. The question asks you to graph the function and from -3 to 3 and using 20 strips to find the area. Each strip is 0.3 wide.

I have a linear function of y= -x+20. This line runs straight through the point (10,10), and at this point I want to connect an exponential function to the linear equation. The exponential function however must not cut through the linear function but the start of the exponential function should connect and curve upwards. The connection point has to be as smooth as possible, since the functions are being used as a roller coaster track. This is for my assignment where I have to design a roller coaster track using functions, I managed to find a quadratic function to connect and curve smoothly upwards using the point (10,10). Using the point (10,10) how would I find a exponential function? If you don't understand what im trying to say I can go into more detail. I hope I get this figured out since a lot of people have struggled figuring out the function that will connect at that point.