Application of Derivatives

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Question

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Question 1 :

The radius and height of a cone are measured as 5 cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The percentage error in volume is

1. 1
2. 0.01
3. 0.001
4. -1
Answer
6827

Question 2 :

A particle moves along a line according to the law s = t⁴ - 5t² + 8 The initial velocity

1. 1
2. 5
3. 4
4. 0
Answer
6828

Question 3 :

If the tangent to the curve 2y³ = ax² + x³  at the point (a ,a) cuts off intercepts α and β  on the coordinates axis, where α² + β² = 61  then the values of  is

1. 16
2. 28
3. 30
4. 31
Answer
6829

Question 4 :

If an error of 0.02 cm is made while measuring the radius 10 cm of a circle, then the error in the area is

1. 0.2πsq.cm
2. 4.4sq.cm
3. 0.4πsq.cm
4. 0.6πsq.cm
Answer
6830

Question 5 :

If the rate of change of the side of a square is 0.05 cm/sec, then the rate of change in the area of the square when the side is 10 cm is

1. 0.5 sq.cm/sec
2. 1 sq.cm/sec
3. 5 sq.cm/sec
4. 10 sq.cm/sec
Answer
6831