Home
Class 11
MATHS
A tree is growing so that, after t- year...

A tree is growing so that, after t- years its height is increasing at a rate of `18/(sqrtt) cm` per year. Assume that when `t = 0` the height is 5 cm.
(i) Find the height of the tree after 4 years.
(ii) After how many years will the height be 149 cm ?

Text Solution

Verified by Experts

The correct Answer is:
(i) 77 (ii) 16
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|59 Videos
  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.1|4 Videos
  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise MATHEMATICS|49 Videos
  • INTRODUCTION TO PROBABILITY THEORY

    FULL MARKS|Exercise ADDITIONAL PROBLEM|17 Videos

Similar Questions

Explore conceptually related problems

It is observed that a sampling of length 5 cm when plant grow at the rate of (1)/(sqrt(t+1)) cm per day. find After how many days will the height of the plant be 11 cm.

It is observed that a sampling of length 5 cm when plant grow at the rate of (1)/(sqrt(t+1)) cm per day. find The height of the plant after 3 days.

The radius of a cylinder is increasing at the rate of 2 cm/sec and the height is decreasing at the rate of 3 cm/sec. The rate of change of volume when the radius is 3 cm and height is 5 cm is:

A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of (-6)/((t+2)^2) cm^2 per day where 0 lt t le 8 . If on Monday the area of the wound was 1.4 cm^2 (i) What was the area of the wound on Sunday ? (ii) What is the anticipated area of the wound on Thursday if it continues to heal at the same rate ?

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years (e^(0.5) = 1.648) .

Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?

Sand is pouring from a pipe at the rate of 12c m^3//sdot The falling sand forms a cone on the ground in such a way that the height of the cone is always 1/6th of the radius of the base. How fast does the height of the sand cone increase when the height in 4 cm?