Question

calc help @vocaloid

Answer 1

5 questions give me a sec to upload them

Answer 2

well 6

Answer 3

false?

Answer 4

find the derivative and plug in 3?

Answer 5

Acceleration is the second derivative so you would plug in t = 3 to the second derivative

Answer 6

maybe not because the derivative is 6t-5 and that would be 13 and that's not an answer

Answer 7

ah okay

Answer 8

Velocity is the first derivative of distance so for that parabola velocity question you would just see if the slope across that interval is neg. or not

Answer 9

I get 6 so multiply 3 and get 18?

Answer 10

First derivative = 6t - 5
Second derivative = 6
There’s no t anymore so just 6

Answer 11

okay and the velocity question true then?

Answer 12

Yes

Answer 13

is the limit question correct

Answer 14

These last 3 and I'm done

Answer 15

Yes

Answer 16

For the ladder one you have to take the implicit derivative of the Pythagorean theorem wrt t

Answer 17

Same thing with the volume sphere problem, differentiate both sides wrt t

Answer 18

I'm thinking a but maybe it's d hold on

Answer 19

6 is false because the function is not continuous

Answer 20

the ladder is a?

Answer 21

5 I feel like I have in my notes somewhere let me see

Answer 22

x^2 + y^2 = 6^2

derivative wrt

2x(dx/dt) + 2y(dy/ty) = 0

at 45 degrees each side is 6/sqrt(2)
you are given dx/dt = 0.5

so

0.5*2*6/sqrt(2) + [2*6/sqrt(2)](dy/dt) = 0
solving for dy/dt should give you the speed of the top of the ladder falling down

Answer 23

b for 5 ?

Answer 24

agree w/ your solutions for 5+6

still working on the solution for 4

Answer 25

solving for 0.5*2*6/sqrt(2) + [2*6/sqrt(2)](dy/dt) = 0
gives dy/dt = -0.5 m/s (or 0.5 m/s downward)

Answer 26

so d?

Answer 27

yes

Answer 28

so all the other questions are correct?

Answer 29

yes

Answer 30

100% ty happy Thanksgiving!