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sweet [91]
3 years ago
13

I need help with 2. 3. 8 and 13 please help me

Mathematics
1 answer:
Crank3 years ago
6 0

Answer:

all work is shown and pictured

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Step-by-step explanation:

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Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the
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Answer:

Step-by-step explanation:

The rate if increase of side of square is 7cm/s

dL/dt=7

At what area is the area increasing

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Analysis

Let L be the length of each side of the square, a square has equal side.

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Given that, dL/dt=7

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dA/dt= dA/dL × dL/dt

dA/dt= 2L × 7

dA/dt= 2×6×7

dA/dt= 84cm²/s

The rate of increase of the square is 84cm²/s

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How to find the derivative of e^3㏑(x²)
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f(x)=e^{3\ln x^2}\\\\f'(x)=e^{3\ln x^2}\cdot\dfrac{3}{x^2}\cdot2x=e^{3\ln x^2}\cdot\dfrac{6}{x}=\dfrac{6e^{3\ln x^2}}{x}\\\\\\but\ e^{3\ln x^2}=e^{\ln (x^2)^3}=e^{\ln x^6}=x^6\ where\ x\neq0\\\\therefore\ f'(x)=6x^5
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