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MA_775_DIABLO [31]
3 years ago
12

Go step by step to reduce the radical.

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
Sawyer and Emily is so much fun to have with
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Which statement describes the graph of this polynomial function?
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The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.

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Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
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The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:

<em>y</em> = <em>x</em>² - 9<em>x</em>   →   d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9

When <em>x</em> = 4, the function takes on a value of

<em>y</em> = 4² - 9•4 = -20

and the derivative is

d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1

Then use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-20) = -1 (<em>x</em> - 4)

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The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

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<em>y</em> + 20 = <em>x</em> - 4

<em>y</em> = <em>x</em> - 24

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3 years ago
I will write about 18
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