3 years ago

Can someone also help with this

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

90, 180, and 270

Step-by-step explanation:

I'm pretty

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Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

vovangra [49]

Use exp/log functions to rewrite y as

$y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)$

One of the properties of logarithms lets us bring down the exponent, so

$y = \exp\left(\dfrac{\ln(1+x)}x\right)$

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

$\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}$

Simplify:

$\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}$

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2 years ago

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8090 [49]

Answer:

(2,0), (-5,0)

Step-by-step explanation:

I'm not sure if this is correct or not, but going off of what they had for points J and K, I think it's the best answer.

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3 years ago

What is the perimeter p, of a rectangle that has a length of x+5 and a width of y-1 A. P=2x+2y+8 B. P=2x+2y-8 C. P=x+y+4 D. P=x+

Sedbober [7]

Answer: 30

Step-by-step explanation:

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3 years ago

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There were 171 people who came to the play in the afternoon. In the evening, there were 93 more people at the play than in the a

Makovka662 [10]

Answer:

Step-by-step explanation: It's B.) The student’s answer is not reasonable. Estimation: 170 + 90 = 260

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4 years ago

Please solve: 6x - y = -1

maw [93]

Answer:

y=6x-1

Step-by-step explanation:

6x - y = -1

-y = -1 -6x

y = 6x+1

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3 years ago

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