1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
satela [25.4K]
3 years ago
13

A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

You might be interested in
Solve for x in the triangle,round your answer to the nearest tenth
Nuetrik [128]
Cosine = adjacent / hypotenuse

cos (49)= x/27
27 * cos(49) = x
27 * 0.656 = x
x = 17.7
5 0
2 years ago
WILL GIVE BRAINLIEST!!!
s2008m [1.1K]

1. Can you describe what needs to be done here?

2. 5a-2<18

5a<20

a<4

3. 2a+8≥ -4(a+1)

2a + 8 ≥ -4a - 4

6a ≥ -12

a ≥ -2

8 0
3 years ago
A cook uses fifteen 2litter bottles of cooking oil in a week. If he decides to buy 5 litter tins of cooking oil instead how many
Nata [24]

Answer:

300 liters

Step-by-step explanation:

If he uses 15, 2 liter bottles in a week,

then 15 * 2 = 30 liters in a week.

If he uses the same rate in 10 weeks then,

10 * 30 = 300 liters

8 0
3 years ago
Increase 120 centimetres by 24%
Eva8 [605]
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
                                         = 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B2%7D%20x%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexFormula1" title="4 \frac{1}{2
aleksley [76]

Answer:

Step-by-step explanation:

4\frac{1}{2}* \frac{2}{3} =\frac{9}{2} *\frac{2}{3} =3

8 0
3 years ago
Other questions:
  • Solve these simultaneous equations Using the algerbraic method
    14·1 answer
  • A health club annually surveys its members. Last year, 33% of the members said they use the treadmill at least four times a week
    10·1 answer
  • Solve for x and y. And please explain
    8·1 answer
  • What is the perimeter in square units of the rectangle shown on the coordinate grid?
    5·2 answers
  • PLEASE HELP!
    10·1 answer
  • What is 3<br> —<br> 8 <br> Times 40 I’m simplest form
    15·1 answer
  • (x+30 degrees) +(45 degrees)
    14·2 answers
  • Question of the today for math what is 500+X=234=90
    10·2 answers
  • Cos of 16/34<br> Sin 32/40<br> Tan 32/24
    15·1 answer
  • Notes i
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!