Embibe Experts Solutions for Chapter: Applications of Differential Calculus, Exercise 1: Tamilnadu Board-2018

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Applications of Differential Calculus, Exercise 1: Tamilnadu Board-2018

Attempt the free practice questions on Chapter 7: Applications of Differential Calculus, Exercise 1: Tamilnadu Board-2018 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Applications of Differential Calculus, Exercise 1: Tamilnadu Board-2018 with Hints & Solutions

MEDIUM
12th Tamil Nadu Board
IMPORTANT

If w=x+2y+z2 and x=cost; y=sint; z=t find dwdt by using chain rule. Also find dwdt by substitution of x, y and z in w and hence verify the result.

HARD
12th Tamil Nadu Board
IMPORTANT

If f1=10 and f'x2 for 1x4 how small can f4 possibly be?

HARD
12th Tamil Nadu Board
IMPORTANT

Let P be a point on the curve y=x3 and suppose that the tangent line at P intersects the curve again at Q. Prove that the slope at Q is four times the slope at P.

HARD
12th Tamil Nadu Board
IMPORTANT

Find the length of the curve xa23+yb23=1.

HARD
12th Tamil Nadu Board
IMPORTANT

Show that the volume of the largest right circular cone that can be inscribed in a sphere of radius 'a' is 827 (volume of the sphere).

EASY
12th Tamil Nadu Board
IMPORTANT

Which one of the following statements is true about the curve y=x13?

MEDIUM
12th Tamil Nadu Board
IMPORTANT

Show that the function fx=tan-1sinx+cosx, x>0 is strictly increasing in the interval 0, π4.