Derivatives Integrals Differential equations Series Improper

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Presentation transcript:

Derivatives Integrals Differential equations Series Improper integrals and volumes 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt

The derivative of

What is 2xex2?

The derivative of

What is

The second derivative of position/distance.

What is acceleration?

The operation that is inverse to taking a derivative.

What is antidifferentiation?

What is 0?

What is

What is

(This integral can’t be found directly) What is approximately 0.946? (This integral can’t be found directly)

What is

A solution to the differential equation y’=y

What is

The largest number a population can reach if resources are limited.

What is the carrying capacity?

The solution to the equation

What is ?

The population of an animal species growing logistically after 10 years if the initial population is 220, the population after a year is 440, and the population after two years is 580.

What is 645?

The sum of the series 1+1/2+1/3+1/4+…

What is infinite?

The sum of the series 1+1/2+1/4+1/8+…

What is 2?

The indefinite integral as a power series

What is

What is 3?

What is infinite?

What is infinite?

is: convergent or divergent The integral is: convergent or divergent

What is convergent?

The region bounded by the curves y=x and y=x2 is rotated about the line y=3. The volume of the resulting solid is

What is