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3 years ago

Delta math helpppp!!!!!!!!!

Mathematics

1 answer:

jasenka [17]3 years ago

7 0

Neither parallel nor perpendicular

Hope this helps! :D

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The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

4 0

3 years ago

Factor 2x 2 - 10x - 12.

lana [24]

2(x+1)(x- 6) this is probably correct

5 0

3 years ago

Read 2 more answers

Solve for x.<br><br> 4x = <br> 3<br> 8

gayaneshka [121]

Answer:

Step-by-step explanation:

4x = 38

x= 38/ 4

x = 9 1/2

4 0

3 years ago

Subtract whole number estimate.then find the difference estimate 428,734 -175,842

diamong [38]

You are estimating each into whole numbers. They are already whole numbers, and so just subtract.

428,734 - 175,842 = 252892

252,892 is your answer

hope this helps

3 0

3 years ago

Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of gree

sergejj [24]

Answer:

your answer is $27/60$ and $7/60$

4 0

1 year ago