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3 years ago

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

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If it is 9:26, what time will it be in 54 minutes?

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In 54 minutes, it'll be 10:30.

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2 years ago

Minya is 30 years younger than her mom and the sum of their ages is58.how old is minya

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3 years ago

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The quadrilateral shown is a rhombus. What is angle 4?<br> A; 28<br> B; 32<br> C; 58<br> D; 90

Goryan [66]

I believe the answer would be A 32.

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2 years ago

At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of adults to boys at the school da

Anna71 [15]

Answer:

14 to 132

Step-by-step explanation:

We are given that there are 132 boys and 14 adults. Since the question is only asking for the ratio of adults to boys, we don't have to worry about the number of girls in this question. From here, we see that the question is asking for the ratio of adults to boys, so we put it in that exact order. Our answer is 14 to 132. I hope this helps and please don't hesitate to reach out with more questions!

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2 years ago

The radius r of a sphere is increasing at a constant rate of 0.04 centimeters per second. (Note: The volume of a sphere with rad

-Dominant- [34]

Answer:

The rate of the volume increase will be $\frac{dV}{dt}=50.27 cm^{3}/s$

Step-by-step explanation:

Let's take the derivative with respect to time on each side of the volume equation.

$\frac{dV}{dt}=4\pi R^{2}\frac{dR}{dt}$

Now, we just need to put all the values on the rate equation.

We know that:

dR/dt is 0.04 cm/s

And we need to know what is dV/dt when R = 10 cm.

Therefore using the equation of the volume rate:

$\frac{dV}{dt}=4\pi 10^{2}0.04$

$\frac{dV}{dt}=50.27 cm^{3}/s$

I hope it helps you!

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2 years ago