Explore topic-wise MCQs in Engineering Mathematics.

This section includes 7 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(Y‚ÄÖ√Ñ√∂‚ÀÖ√Ñ‚ÀÖ√´X)X3_+_X2Y_FIND_THE_VALUE_OF_FX_+_FY_AT_(X,Y)=(4,4)?$#

A. 0
B. 78
C. 4<sup>2</sup> . 3(sin(1) + 1)
D. -12
Answer» D. -12
Discussion
2.

A foil is to be put as shield over a cake (circular) in a shape such that the heat is even along any diameter of the cake?

A.
B. f(x, y) = sin(y‚ÅÑx)x<sup>2</sup> + xy
C. f(x, y) = x<sup>2</sup> + y<sup>3</sup>
Answer» C. f(x, y) = x<sup>2</sup> + y<sup>3</sup>
Discussion
3.

For homogenous function the linear combination of rates of independent change along x and y axes is
A. Integral multiple of function value
B. no relation to function value
C. real multiple of function value
D. depends if the function is a polynomial
Answer» D. depends if the function is a polynomial
Discussion
4.

For homogenous function with no saddle points we must have the minimum value as
A. 90
B. 1
C. equal to degree
D. 0
Answer» E.
Discussion
5.

For a homogenous function if critical points exist the value at critical points is
A. 1
B. equal to its degree
C. 0
D. -1
Answer» C. 0
Discussion
6.

A non-polynomial function can never agree with eulers theorem
A. True
B. false
Answer» C.
Discussion
7.

f(x, y) = x3 + xy2 + 901 satisfies the Eulers theorem
A. True
B. False
Answer» C.
Discussion