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Rate Of Change - Mathematics Jamb Past Questions and Answers

Mathematics Questions And Answers On Rate Of Change
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Mathematics Jamb Past Questions


Questions and Answers on Rate of change

Question 6 :



Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

A. Square of sides p
B. Square of sides 2p
C. Square of sides (p/2)
D. Square of sides (p/4)


Question 7 :



A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

A.
B.
C. π
D.


Question 8 :



The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

A. 36 π cm2/sec
B. 18 π cm2/sec
C. 6 π cm2/sec
D. 3 π cm2/sec


Question 9 :



If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

A. 0 units per sec
B. 15 units per sec
C. 22 unit per sec
D. 26 units per sec


Question 10 :



The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

A. 0.75cm2S-1
B. 0.53cm2S-1
C. 0.35cm2S-1
D. 0.88cm2S-1






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