Mathematics-I (3110014)

Maths-I-3110014

Functions of several variables

BE | Semester 1 Unit : Functions of several variables

Q1 (a) Winter-2019 Find the equations of the tenagent plane and normal line to the surface $x^{2} + y^{2} + z^{2} = 3$ at the point $(1, 1, 1)$ .

Unit : Functions of several variables

Q2 (b) Winter-2019 Discuss the Maxima and Minima of the function $3 x^{2} - y^{2} + x^{3}$ .

Unit : Functions of several variables

Q3 (c) Winter-2019 Find the maximum and minimum distance from the point $(1, 2, 2)$ to the sphere $x^{2} + y^{2} + z^{2} = 36$ .

Unit : Functions of several variables

Q5 (c) Winter-2019 If $u = f (x - y, y - z, z - x)$ then show that $\frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} + \frac{\partial u}{\partial z} = 0$ .

Unit : Functions of several variables

Q5 (a) Winter-2019 Find the directional derivatives of $f = {xy}^{2} + {yz}^{2}$ at the point $(2, - 1, 1)$ , in the direction of $i + 2 j + 2 k$ .

Unit : Functions of several variables