Assignment GDB Solution: MTH301 Calculus II


MTH301 GDB 2 Solution Feb 2015

Pick an area that has small hill. Starting at the bottom of the hill 1. Describe how to follow the gradient path to the top. 2. In particular, describe how to determine the direction in which the gradient points at a given point on the hill. 3. What should you do if you encounter a […]

MTH301 Calculus II GDB Solution Fall 2013

Discuss the applications of  partial derivatives in daily life with at least 2 examples. Solution:  The famous partial differential equation is the wave or Harmonic equation in physics. Then there is the Navier-Stokes equation in fluid mechanics. Just about any situation with multiple variables can be modeled with some partial differential equations. The problem is not so much as how the […]

MTH301 Calculus II Assignment 2 Solution Spring 2013

Question # 1: Find the critical points of the function  Also classify them in Relative Maxima, Relative Minima and Saddle Points.   Question # 2 Prove that  Solution: Question # 3 Find the volume of the prism whose base is the triangle in xy-plane bounded by the x-axis and the line and whose top lies in the plane

MTH301 Calculus II Assignment 2 Solution Spring 2013

Question # 1: The distance between the two points  and is 3. Find the value of. Question # 2 A vector V is inclined at equal acute angles to Ox, Oy and Oz. If the magnitude of V is 6 units, find V. Question # 3 Find the Natural domain and the range of the following functions:

MTH301 Calculus II GDB Solution Fall 2012

What are the algebraic advantageous applications of Laplace and Fourier Transforms? Give just one example with proper explanation. Solution:  The Laplace transform is a widely used integral transform with many applications in physics and engineering. Denoted , it is a linear operator of a function f(t) with a real argument t (t ≥ 0) that […]

MTH301 Calculus II Assignment 3 Solution Fall 2012

Question # 1: Find the volume of the solid in the first octant bounded by the coordinate planes, the plane, and the parabolic cylinder Question 2: If   is the position of a particle in space at time .Find the angle between the velocity and acceleration vectors at time Question 3: For the complete revolution( 0≤ […]

MTH301 VU Current Midterm Fall 2012 Paper 9 December 2012

Almost 50% MCQs from old papers + 50% MCQs from old papers with slight variations.   Don’t waste time on lengthy chain rules!! Two questions from integration topic. One question was of double integration whose limits are given (5 marks). That was easy but lengthy as many steps were involved. One 5 marks question: Critical […]