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Readme [11.4K]
3 years ago
8

The problem is in the picture :)

Mathematics
1 answer:
katrin [286]3 years ago
6 0
I believe it’s 6, so E, but I also believe I’m completely wrong-
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If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3
yulyashka [42]

Hello,

L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\

5 0
3 years ago
A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale dra
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Answer:

actual length = 171.67 ft.

Step-by-step explanation:

scale of school bus drawing is 12 in. to 5 ft.

if the length of a school bus drawing is 412 in.

                                                     5 ft

the actual length is    = 412 in x --------

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Feliz [49]

Answer:

36 centimeters squared.

Step-by-step explanation:

Use the formula for the area of a square.

A=s^2

A=(6)^2

A=6 \times 6=36

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