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anonymous

  • 5 years ago

The tangent line to the graph y=e^(2-x) at the point (1,e) intersects both coordinate axes. What is the areas of the triangle formed by this tangent line and the coordinate axes?

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  1. anonymous
    • 5 years ago
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    Take the derivative of the function.. you will get -e^(2-x) Put one in the 1, you will get -e. This is the slope of your tangent Now find the x and y intercepts, and use the 1/2 (xint) * (yint) You will get area.

  2. anonymous
    • 5 years ago
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    the answer should be 2e

  3. anonymous
    • 5 years ago
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    So I find the x-int and y-int using the derivative.

  4. anonymous
    • 5 years ago
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    you set up the equation as y = -ex + b and first you plug in 1 as x and e as y, to get b, which is your y intercept, and then you use the new equation -ex+2e =y and set y to 0, which well give x = 2, your x int

  5. anonymous
    • 5 years ago
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    Okay thank you!

  6. anonymous
    • 5 years ago
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    np medal me

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