Question

I have to complete a chart that indicates the sign(+ or -) for s(t), s'(t) and s"(t) at each point

Answer 1

I am going to try to upload the sketch because my drawing will not do it justice. Give me a moment.

Answer 2

:) Take your time

Answer 3

Ok

Answer 4

Sorry took so long, I had to look for it. I know how to fill out the second column
neg, 0, positive, 0, negative
because I am just looking for the signs of their slopes

Answer 5

Yes those are correct.

Answer 6

not sure how to fill out the first column

Answer 7

what am I looking for in the first column

Answer 8

Well first column just represents the Y-coordinate of the point.

Answer 9

well then they are positive correct since they are in the first quadrant?

Answer 10

Correct.

Answer 11

Now, for the third column ?

Answer 12

not sure what I am looking for at all, unless it is just concave up and concave down
+ for cc up and - for cc dn

Answer 13

Yes it is looking for this

Answer 14

so pos, pos, 0, neg, neg C is 0 because it is a point of inflection

Answer 15

Ok lets see:

I am not sure about A. The slope is decreasing at A, so shouldn't it be -ve ?

Answer 16

The rest are absolutely correct.

Answer 17

Yes you are correct for that also. Sorry .

Answer 18

thanks, well I have to go get ready for work. I will continue my calculus journey afterwards. Thanks for all of your help.

Answer 19

:)
Do not mention it. It was my pleasure to be of your help.