Explore topic-wise MCQs in Engineering Mathematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

f(x, y) = sin(xy + x3y) / x + x3 Find fxy at (0,1).

A. 2
B. 5
C. 1
D. undefined
Answer» D. undefined
2.

f(x, y) = sin(y + yx2) / 1 + x2 Value of fxy at (0,1) is

A. 0
B. 1
C. 67
D. 90
Answer» B. 1
3.

The gradient of a function is parallel to the velocity vector of the level curve.

A. True
B. False
Answer» C.
4.

The existence of first order partial derivatives implies continuity.

A. True
B. False
Answer» C.
5.

f(x, y, z, t) = xy + zt + x2 yzt; x = k3 ; y = k2; z = k; t = k
Find df dt at k = 1

A. 34
B. 16
C. 32
D. 61
Answer» C. 32
6.

f(x, y) = sin(x) + cos(y) + xy2; x = cos(t); y = sin(t) Find df dt at t = 2

A. 2
B. -2
C. 1
D. 0
Answer» C. 1
7.

f(x, y) = x2 + y3 ; X = t2 + t3; y = t3 + t9 Find df dt at t=1.

A. 0
B. 1
C. -1
D. 164
Answer» E.
8.

f(x, y) = sin(xy) + x2 ln(y) Find fyx at (0, 2)

A. 33
B. 0
C. 3
D. 1
Answer» E.
9.

f(x, y) = x2 + xyz + z Find fx at (1,1,1)

A. 0
B. 1
C. 3
D. -1
Answer» D. -1