All categories

3 years ago

X(t) = t^3 - 12t^2 + 36t

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Yes you have the right idea. You find the derivative to get the velocity function and then determine when the velocity is zero. That turns out to be at t = 2 and t = 6. Both are correct. The final answer is correct.

The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36

Other than that it looks perfect.

You might be interested in

Find the missing endpoint if S is the midpoint RT

Stolb23 [73]

Answer:

10. T(-20, 9)

11. R(-1, -9)

12. D(-6, 5)

Step-by-step explanation:

The relationship between end points and the midpoint can be solved generically for one of the end points. That relation can be used for the different points in these problems.

<h3>generic solution</h3>

The coordinates of midpoint M is related to the coordinates of end points A and B by ...

M = (A +B)/2

This can be solved for end point B, given end point A and midpoint M:

2M = A +B

2M -A = B

Then the generic equation for end point B given end point A and midpoint M is ...

B = 2M -A

In each of the numbered problems, the midpoint and one end point are given. These can be matched with the variables in the above formula, so the solution is simply a matter of arithmetic. Beware all the minus signs.

T = 2R -S

T = 2(-9, 4) -(2, -1) = (2(-9) -2, 2(4) +1)

T = (-20, 9)

R = 2S -T

R = 2(-4, -6) -(-7, -3) = (2(-4) +7, 2(-6) +3)

R = (-1, -9)

B = (A +C)/2 = ((-9, -4) +(-1, 6))/2 = (-9 -1, -4 +6)/2 = (-10, 2)/2

B = (-5, 1) . . . . the missing midpoint of AC

D = 2B -E . . . . the missing end point of BD

D = 2(-5, 1) -(-4, -3) = (2(-5) +4, 2(1) +3)) = (-10 +4, 2 +3)

D = (-6, 5)

8 0

3 years ago

Which graph represents y=x−2

oksano4ka [1.4K]

Answer:

Graph D is correct

Step-by-step explanation:

hope it helps ^^

6 0

3 years ago

Read 2 more answers

What is greater 3/8 or 3/4?

blondinia [14]

Hi There Mama,

<span>What is greater 3/8 or 3/4?

</span> $\frac{3}{4}$ will be greater than $\frac{3}{8}$ !

Example:Think of it as pieces of pie. One pie is cut evenly into 4 pieces, and three of them are still there. (this is 75% of the pie)the other one is cut into 8, twice as many cuts as the other pie, yet has 3 small pieces. 3/8 has less than half the pie left....

6 0

4 years ago

Read 2 more answers

What percent of 90 is 54?

Helga [31]

Answer should be 60! hope this helps :)

5 0

4 years ago

Read 2 more answers

Solve for the variable.<br> 3x = -7<br> A. -4<br> B. -2.3<br> C. 2.3<br> D. 4

MariettaO [177]

The correct answer is B.