Lecture 18

Question 1

what is the bell curve formula?

Answer 1

y=ce^[-(x-a)^(2)/2b^(2)]

Question 2

what is the shape of the bell curve function?

Answer 2

a bell

Question 3

what is the logistic formula?

Answer 3

f(x)=L/1+e ^[−k(x−x0)]

Question 4

what is the shape of a logistic curve?

Answer 4

an S

Question 5

what is the formula for a surge function?

Answer 5

y = cx e^(−kx)

Question 6

what is the shape of a surge function?

Answer 6

like a sudden impulse

Question 7

how do you create a degree four polynomial given global max and min?

Answer 7

1. find the derivative of the function given
2. set the derivative equal to zero
3. plug the global max and min x value into the derivative
4. now that you have two functions, use substitution to solve for the variables
5. once all the variable values are found, create the quadratic equation

Question 8

when a question is asking how fast is something changing at a certain moment, what should you do?

Answer 8

1. find the derivative
2. plug the time or interest into the derivative

Question 9

what is the formula of the Pythagorean theorem?

Answer 9

a^(2)+b^(2) =c^(2)

Question 10

what do you do if you are given a rate, a length and a triangle in the related rates problem?

Answer 10

1. write the Pythagorean formula
2. take the derivative of the Pythagorean formula writing the Leibniz notation beside each variable
3. plug what you know into the equation
4. isolate for the variable not known yet