Question

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Answer 1

@douglaswinslowcooper @jziggy

Answer 2

I dont quite understand how to evaluate this

Answer 3

oh and the upper bound is 3 it kinda got cut off

Answer 4

Ok... not sure how to best explain this one but the integral is the value between the function and the x-axis.
The function has a max of 5 on the interval of 1 to 3 and a minimum of -2 on the interval. Since we're asked to find all the possible values of F on the interval we want to look at the extreme cases.

Answer 5

yes :) I understand that I just dont get how to go about it

Answer 6

and thank you for helping :)

Answer 7

Case I.
The function is nearly equal to 5 for most of the time and only close to -2 for an extremely small time. In this case we could get an approximation by multiplying 5 by the Upper bound minus the Lower bound.

Answer 8

So 5(3-1)

Answer 9

is 10

Answer 10

Yes :)

Answer 11

And then we can get Case 2 in a similar way.

Answer 12

Case 2
The function is nearly equal to -2 for most of the time and only close to 5 for an extremely small time.

Answer 13

so im assuming the possible values are less than 10

Answer 14

Yes all possible values must be less than 10

Answer 15

-2(3-1) is -2*2 which is 4

Answer 16

so its choice A

Answer 17

-4<F<10

Answer 18

Yes :D

Answer 19

cool wana help with another?

Answer 20

Sure, what've you got?

Answer 21

just some solving integrals by substitution

Answer 22

Alright :D

Answer 23

ok

Answer 24

I have 10 more including this one to do before I take my final and I have to be done by 10pm :/ so yeah

Answer 25

Alright, so obviously we need to use a u-substitution on this problem.
u = x^2
du = (2x)dx
du/2 = (x)dx

Answer 26

yeah

Answer 27

So our new integral is