# CBSE Class 12 Mathematics Applications Of Derivatives Assignment Set D

Read and download free pdf of CBSE Class 12 Mathematics Applications Of Derivatives Assignment Set D. Get printable school Assignments for Class 12 Application Of Derivatives. Standard 12 students should practise questions and answers given here for Application Of Derivatives in Grade 12 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 12 Application Of Derivatives prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Application Of Derivatives Assignment for Class 12

Class 12 Application Of Derivatives students should refer to the following printable assignment in Pdf in standard 12. This test paper with questions and answers for Grade 12 Application Of Derivatives will be very useful for exams and help you to score good marks

### Class 12 Application Of Derivatives Assignment Pdf

TOPIC 5
APPLICATIONS OF DERIVATIVES

LEVEL -I
1. A balloon, which always remains spherical, has a variable diameter 3/2(2x+ 1) .Find the rateof change of its volume with respect to x.
2 .The side of a square sheet is increasing at the rate of 4 cm per minute. At what rate is the area increasing when the side is 8 cm long ?
3. The radius of a circle is increasing at the rate of 0.7 cm/sec. what is the rate of increase of its circumference ?

LEVEL –II
1. Find the point on the curve y2 = 8x for which the abscissa and ordinate change at the same rate?
2. A man 2 metre high walks at a uniform speed of 6km /h away from a lamp post 6 metre high. Find the rate at which the length of his shadow increases. Also find the rate at which the tip of the shadow is moving away from the lamp post.
3. The length of a rectangle is increasing at the rate of 3.5 cm/sec and its breadth is decreasing at the rate of 3cm/sec. find the rate of change of the area of the rectangle when length is 12 cm and breadth is 8 cm

LEVEL III
1. A particle moves along the curve 6 y = x3 + 2., Find the points on the curve at which ycoordinate is changing 8 times as fast as the x-coordinate.
2. Water is leaking from a conical funnel at the rate of 5 cm3/sec. If the radius of the base of the funnel is 10 cm and altitude is 20 cm, Find the rate at which water level is dropping when it is 5 cm from top.
3. From a cylinder drum containing petrol and kept vertical, the petrol is leaking at the rate of 10 ml/sec. If the radius of the drum is 10cm and height 50cm, find the rate at which the level of the petrol is changing when petrol level is 20 cm

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