Match Column I with Column II

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Match Column I with Column II.
Column IColumn II
(a) A circular plate is expanded by heat from radius 6 cm to 6.06 cm. Approximate increase in the area is(p) 5
(b) If an edge of a cube increases by 2%, then the percentage increase in the volume is(q) 0.72π0.72\pi
(c) If the rate of decrease of x22−2x+5\frac{x^2}{2}-2x+5 is thrice the rate of decrease of xx, then xx is equal to (rate of decrease is non-zero).(r) 6
(d) The rate of increase in the area of an equilateral triangle of side 30 cm, when each side increases at the rate of 0.1 cm/s, is(s) 332\frac{3\sqrt{3}}{2}

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