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2 years ago

Find the square root of 156.25 by division method

Mathematics

1 answer:

vampirchik [111]2 years ago

4 0

Hello,

I don't know the divison method but is it these one?

156.25= 625/4=(25/2)²

√156.25= 12.5

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Read 2 more answers

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

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We have,

$4x^2+3y^3=28$ ...(i)

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$4(-1)^2+3y^3=28$

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Divide both sides by 3.

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Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

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Divide both sides by -8.

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2 years ago

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scoray [572]

Answer:

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