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Derivatives Integrals Differential equations Series Improper

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Presentation on theme: "Derivatives Integrals Differential equations Series Improper"— Presentation transcript:

1 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

2 The derivative of

3 What is 2xex2?

4 The derivative of

5 What is

6 The second derivative of position/distance.

7 What is acceleration?

8 The operation that is inverse to taking a derivative.

9 What is antidifferentiation?

10

11 What is 0?

12

13 What is

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15 What is

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

18

19 What is

20 A solution to the differential equation y’=y

21 What is

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

23 What is the carrying capacity?

24 The solution to the equation

25 What is ?

26 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.

27 What is 645?

28 The sum of the series 1+1/2+1/3+1/4+…

29 What is infinite?

30 The sum of the series 1+1/2+1/4+1/8+…

31 What is 2?

32 The indefinite integral
as a power series

33 What is

34

35 What is 3?

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37 What is infinite?

38

39 What is infinite?

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

41 What is convergent?

42 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

43 What is

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