Chapter 1 Differentiation Ex 1.5
Chapter 1 Differentiation Ex 1.5 Chapter 1 Differentiation Ex 1.5 Question 1.Find the second order derivatives of the following: (ii) . tan xSolution:Let y = . tan x (iii) .…
Chapter 1 Differentiation Ex 1.4
Chapter 1 Differentiation Ex 1.4 Chapter 1 Differentiation Ex 1.4 Differentiating x and y w.r.t. t, we get (ii) x = a cot θ, y = b cosec θ Solution:…
Chapter 1 Differentiation Ex 1.3
Chapter 1 Differentiation Ex 1.3 Chapter 1 Differentiation Ex 1.3 Question 1.Differentiate the following w.r.t. x: Then log y = log [latex]\sqrt[3]{\frac{4 x-1}{(2 x+3)(5-2 x)^{2}}}[/latex] Differentiating both sides w.r.t. x,…
Chapter 1 Differentiation Ex 1.2
Chapter 1 Differentiation Ex 1.2 Chapter 1 Differentiation Ex 1.2 Question 1.Find the derivative of the function y = f (x) using the derivative of the inverse function x =…
Chapter 1 Differentiation Ex 1.1
Chapter 1 Differentiation Ex 1.1 Chapter 1 Differentiation Ex 1.1 Question 1.Differentiate the following w.r.t. x :(i) Solution: Method 1: Let y = Put u = – 2x – 1.…
Chapter 7 Linear Programming Miscellaneous Exercise 7
Chapter 7 Linear Programming Miscellaneous Exercise 7 Chapter 7 Linear Programming Miscellaneous Exercise 7 I) Select the appropriate alternatives for each of the following :Question 1.The value of objective function…
Chapter 7 Linear Programming Ex 7.4
Chapter 7 Linear Programming Ex 7.4 Chapter 7 Linear Programming Ex 7.4 Question 1.Maximize : z = 11x + 8y subject to x ≤ 4, y ≤ 6,x + y…
Chapter 7 Linear Programming Ex 7.3
Chapter 7 Linear Programming Ex 7.3 Chapter 7 Linear Programming Ex 7.3 Question 1.A manufacturing firm produces two types of gadgets A and B, which are first processed in the…
Chapter 7 Linear Programming Ex 7.2
Chapter 7 Linear Programming Ex 7.2 Chapter 7 Linear Programming Ex 7.2 I) Find the feasible solution of the following inequations graphically.Question 1.3x + 2y ≤ 18, 2x + y…
Chapter 7 Linear Programming Ex 7.1
Chapter 7 Linear Programming Ex 7.1 Chapter 7 Linear Programming Ex 7.1 Question 1.Solve graphically :(i) x ≥ 0Solution: Consider the line whose equation is x = 0. This represents…