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lyudmila [28]
3 years ago
13

The equation of the tangent to the curve x^2 = 4y at the point on the curve where x=-2 is?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0
x^2 = 4y \Rightarrow y= \frac{x^2}{4}
\frac{dy}{dx} = \frac{2x}{4} =  \frac{x}{2}

(x = -2) \frac{dy}{dx} = \frac{x}{2} =  \frac{-2}{2} = -1
(x = -2) y= \frac{x^2}{4}= \frac{(-2)^2}{4}  = 1

y-y_1=m(x-x_1)
y-1 = -1(x--2)

y-1 = -1(x+2)
y-1 = -x-2
y=-x-1 = -(x+1)

Yuliya22 [10]3 years ago
6 0
 i think the answer is y=-x-1=-(x+1)
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Nonamiya [84]

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

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Part B

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3 years ago
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attashe74 [19]

Answer:

Please find a visual representation of the scenario generated with MS Excel

Step-by-step explanation:

The given data on how Kylo fills up the bathtub with water are;

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The given scenario can be represented visually on the coordinate plane, as follows;

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The x-axis represents the time from the when Kylo begins to fill the bathtub

The coordinates of points in the visual representation of the given scenario are therefore;

At the start, the bathtub is empty;

y = 0, x = 0

Then we have;

\begin{array}{ccc}The \ Number \  of  \ Gallons, \,  y &Time &Cumulative  \  Time, \, x\\0&0&0\\50&15&15\\20&5&20\\25&2&22\\0&4&26\end{array}

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario

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3 years ago
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