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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Paragraph for Question Nos. 3 to 5 Let f(x) = cases 1-x & ; 0 x 1 0 & ; 1 < x 2 (2-x)^2 & ; 2 < x 3 cases and g(x) = ₀^x f(t)dt . Let the tangent to the curve y = g(x) at point P whose abscissa is 5 2 cuts x-axis in point Q . Let the perpendicular from point Q on x-axis meets the curve y = g(x) in point R . g(1) =

Options

A0
B1 2
C1
D2

Correct answer

B. 1 2

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