Question

Select the true statement about d(t) = 2.5 cos (Π/6) (t - 2) + 4.

Answer 1

1) The minimum point is at 1.5.
2) The maximum point is at 6.5.
3) Compared to the parent function, d(t) = cost, the phase shift is 2 units down.
4) Compared to the parent function, d(t) = cost, the vertical shift is 4 units up.

Answer 2

You can solve for 1) and 2) using maxima and minima.

1. Find d'(t).

2. Put it = 0 and solve for t.

3. Find d''(t).

4. Put value(s) of t obtained from 2nd step.
If value comes out to be +ve, the value of d(t) for this t will give your answer to 1)

If value comes out to be -ve, the value of d(t) for this t will give your answer t 2)

Answer 3

for 3) and 4) you can draw the graphs and find out the answers.

Answer 4

I dont know how to find the max and mins and your explanation doesnt really help

Answer 5

Okay:

can you differentiate d(t) w.r.t t

Answer 6

wrtt?

Answer 7

I meant with respect to t

Answer 8

no
i dont even know what that means

Answer 9

Okay

Do you know differentiation ?

Answer 10

no

Answer 11

Well, where did you find this question. I mean is this in your course, or someone asked you etc.

Answer 12

I am asking this as this question basically is about differential calculus (maxima and minima topic) but you haven't studied it yet.

Answer 13

I am in trig
not calculus
guess I havent learned how to do that yet

Answer 14

Well, the best suggestion would be to just leave it now.

It will take some time to understand calculus. And it would be a terrible mistake to try to understand calculus just for a problem's sake.

Answer 15

I still need the answer to this question.

Answer 16

We are not allowed to just answer a question.

Answer 17

I know the vertical shift is 4 up

Answer 18

And how did you get this ?

Answer 19

Sorry but I have to go now. Please post your answer and I would review it later.

Sorry

Answer 20

youre no help