3 years ago

If f'(x) = 3x2 + 2x and f (2) = 3, then f(1) =

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Jskalajbsipabagialbs

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

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3 years ago

the measure of the angles of a triangle are in the extended ratio 3 : 5 : 7 what is the measure of the smallest angle?

julia-pushkina [17]

3:5:7:15
?:?:?:180
by using cross multiplication 3×180÷15=36
the measure of the smallest angle is 36°

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Please help me?!!!!!!!!!!

seropon [69]

Answer:

the answer would be 1.653 I think I'm not totally sure... sorry

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3 years ago

What is the smallest number that rounds to 30,000

jenyasd209 [6]

Answer:

295000

Step-by-step explanation:

hope this helps

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Help please ;^;^;^;^;^;^;^;^;^;

kirill115 [55]

Answer:Im pretty sure its -10

Step-by-step explanation:

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3 years ago

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