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3 years ago

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

1 answer:

6 0

D (xe^y)/dx = d(x - y)dx
(e^y)dx/dx + xd(e^y)/dx = 1 - y'
e^y + xy'e^y = 1 - y'
(1 + xe^y)y' = 1 - e^y
y' = (1 - e^y)/(1 + xe^y)

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What is 3.14 times 20 time 1/2

ira [324]

Answer:

31.4

Step-by-step explanation:

So a really easy way to solve this is as goes

--> 3.14 x (20 x 1/2)

--> 3.14 x (10)

Now multipling by 10 is just moving the deciaml place one spot to the right

=> thus, we get 31.4

Hope this helps!

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3 years ago

Find the equation of the line in slope-intercept form (-1,-1) and (1,0)

ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

(-1, -1)

(1, 0)

Finding the slope between (-1,-1) and (1,0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-1\right)}{1-\left(-1\right)}$

$m=\frac{1}{2}$

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

$y = mx+b$

$-1=\frac{1}{2}\left(-1\right)+b$

$-\frac{1}{2}+b=-1$

Add 1/2 to both sides

$-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}$

$b=-\frac{1}{2}$

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)$

$y\:=\frac{1}{2}x-\frac{1}{2}$

Therefore, an equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

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3 years ago

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mr_godi [17]

Answer:

Step-by-step explanation:

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200= 63 +4x

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divide each side by 4

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.5(pi)= about 1.6

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equation- T= 12.17+0.75v

105.75= 12.17 + .75v

-12.17 -12.17

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3 years ago

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Answer:

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Step-by-step explanation:

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Dvinal [7]

Answer:

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Step-by-step explanation:

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