Q Using properties of determinants , prove 2013 the following:. (4) Q. Find: 2017 ∫ (1) Q. Determine the value of ‘k’ for which the 2017 following function s continuous at x=3: f(x) ,x≠3 k ,x=3 (1) Q. Find: 2017 ∫ (2) Q. Find the value of c in Rolle’s theorem for the 2017 function f(x)=x3-3x in [- , 0]. (2) Q. Show that the function f(x)=x3-3x 2017 100 is increasing on R.(2) Q. The length x, of a rectangle is decreasing at 2017 the rate of 5 cm/minute and the width y, is increasing at the rate of 4 cm/ minute. When x=8 cm and y=6 cm, find he rate of change of the area of the rectangle.(2) Q. Evaluate: 2017 dx OR (4) Q. If , then find . 2017 OR If then show that = 2.(4) Q. Find: 2017 (4) Q Find the general solution of the differential 2017
Q Using properties of determinants , prove the following:. (4) 2013 Q. Find: ∫ (1) 2017 Q. Determine the value of ‘k’ for which the following function s continuous at x=3: f(x) ,x≠3 k ,x=3 (1) 2017 Q. Find: ∫ (2) 2017 Q. Find the value of c in Rolle’s theorem for the function f(x)=x3-3x in [- , 0]. (2) 2017 Q. Show that the function f(x)=x3-3x is increasing on R.(2) 2017 Q. The length x, of a rectangle is decreasing at the rate of 5 cm/minute and the width y, is increasing at the rate of 4 cm/ minute. When x=8 cm and y=6 cm, find he rate of change of the area of the rectangle.(2) 2017 Q. Evaluate: dx OR (4) 2017 Q. If , then find . OR If then show that = 2.(4) 2017 Q. Find: (4) 2017 Q Find the general solution of the differential 2017 100
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