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ch4aika [34]
3 years ago
15

Caroline, Krutika and Natasha share some sweets in the ratio 2:5:3. Caroline gets 12 sweets. How many more sweets does Krutika g

et over Natasha?
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

12 more sweets

Step-by-step explanation:

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
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Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

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Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

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=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

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-6x + y\frac{dy}{dt}=0

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Which is the required notation.

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