Gujarat Board-2018

Author:Embibe Experts

Embibe Experts Mathematics Solutions for Exercise - Gujarat Board-2018

Simple step-by-step solutions to Gujarat Board-2018 questions of Application of Derivatives from EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from Gujarat Board-2018 with Hints & Solutions

MEDIUM
12th Gujarat Board
IMPORTANT

The position of a particle is given by S=f(t)=t36t2+9t,S is in metres, t in seconds. Then find the distance travelled in first 5 seconds.

MEDIUM
12th Gujarat Board
IMPORTANT

Prove that y=ax3, x2+3y2=b2 are orthogonal.

MEDIUM
12th Gujarat Board
IMPORTANT

A water tank is in the shape of an inverted cone. The radius of the base is 4m and the height is 6m. The tank is being emptied for cleaning at the rate of 3m3/min. Find the rate at which the water level will be decreasing, when the water is 3m deep.

EASY
12th Gujarat Board
IMPORTANT

Function f(x)=sinx, xπ2,0 is:

MEDIUM
12th Gujarat Board
IMPORTANT

Find the global maximum and minimum values of the function f given by f(x)=2x315x2+36x+1, x[1,5]

HARD
12th Gujarat Board
IMPORTANT

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

HARD
12th Gujarat Board
IMPORTANT

A cylindrical can is to be made to hold 1 l oil. Find its radius and height to minimize the cost.

EASY
12th Gujarat Board
IMPORTANT

Local maximum value of the f(x)=x+1x, (x0) is _____