Question

7.) Find the equation of the curve that passes through the point (4, 5) if its slope is

given by the following equation.

Answer 1

◆ APPLICATIONS OF DERIVATIVES ◆

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Answer 2

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