Greenrune113 Greenrune113
  • 24-07-2018
  • Mathematics
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7.) Find the equation of the curve that passes through the point (4, 5) if its slope is
given by the following equation.

7 Find the equation of the curve that passes through the point 4 5 if its slope is given by the following equation class=

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sqdancefan
sqdancefan sqdancefan
  • 24-07-2018

Rearranging and integrating, you have

... y = ∫(4x-7)dx = 2x² -7x +c


Applying the boundary condition, you have

... 5 = 2·4² -7·4 +c

... 5 - 4 = c = 1


Then the equation of the curve is

... y = 2x² -7x +1

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1rstar
1rstar 1rstar
  • 25-07-2018
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