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2 years ago

Find the first derivative of x^2+y^2=25

Mathematics

1 answer:

lozanna [386]2 years ago

4 0

Answer:

$\frac{dy}{dx}=-\frac{x}{y}$

Step-by-step explanation:

Use implicit differentiation:

$x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}$

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

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lisov135 [29]

Answer:

Pair 1: 10 cm and 2 cm. and the sum is 12 cm.

Pair 2: 20 cm and 4 cm. and the sum is 24 cm.

Step-by-step explanation:

Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.

Pair 1:

For the first rectangle W = 4 cm and A = 40 sq, cm

Then $L = \frac{A}{W} = \frac{40}{4} = 10$ cm.

For the second rectangle W = 4 cm and A = 8 sq, cm

Then $L = \frac{A}{W} = \frac{8}{4} = 2$ cm.

Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)

Pair 2:

For the first rectangle W = 4 cm and A = 80 sq, cm

Then $L = \frac{A}{W} = \frac{80}{4} = 20$ cm.

For the second rectangle W = 4 cm and A = 16 sq, cm

Then $L = \frac{A}{W} = \frac{16}{4} = 4$ cm.

Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)

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3 years ago

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Ierofanga [76]

Answer:

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Step-by-step explanation:

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3 years ago

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If $W$ is a random variable representing your winnings from playing the game, then it has support

$W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}$

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3 years ago

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ikadub [295]

Answer:

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Step-by-step explanation:

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A jar contains 8 marbles marked with the numbers 1 through 8 . You pick a marble at random. What is the probability of not picki

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Find the first derivative of x^2+y^2=25​

Find the first derivative of x^2+y^2=25