Explore topic-wise MCQs in Engineering Mathematics.

This section includes 8 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.

Let f(x) = ex sinh(x) / x, let y(n) denote the nth derivative of f(x) at x = 0 then the expression for y(n) is given by

A. ( sum_{i=0}^n frac{c_{2i}^n}{2i+1} )
B. ( sum_{i=0}^n frac{1}{2i+1} )
C. 1
D. Has no general form
Answer» B. ( sum_{i=0}^n frac{1}{2i+1} )
Discussion
2.

Let f(x)= ( frac{e^x times sin(x)}{x} ) and let the nth derivative at x = 0 be given by y(n) Then the value of the expression for y(n) is given by

A. ( frac{ pi n}{4} )
B. ( sum_{i=0}^{i<=n} frac{(-1)^i c_{2i}^n}{2i+1} )
C. n
D. ( frac{ pi}{2n} )
Answer» C. n
Discussion
3.

For the given function f(x)= ( sqrt{x^3+x^7} ) the values of first and second derivative at x = 1 are assumed as 0 and 1 respectively. Then the value of the third derivative could be

A. 54 2
B. 2 2
C. 2
D. Indeterminate
Answer» B. 2 2
Discussion
4.

If the first and second derivatives at x = 0 of the function f(x)= ( frac{cos(x)}{x^2-x+1} ) were 2 and 3 then the value of the third derivative is

A. -3
B. 3
C. 2
D. 1
Answer» C. 2
Discussion
5.

Let f(x) = tan(x) and let y(n) denote the nth derivative of f(x) then the value of y(9998879879789776) is

A. 908090988
B. 0
C. 989
D. 1729
Answer» C. 989
Discussion
6.

Let f(x) = ( sqrt{1-x^2} ) and let y(n) denote the nth derivative of f(x) at x = 0 then the value of 6y (1) y(2) + 2y(3) is

A. -998
B. 0
C. 998
D. -1
Answer» C. 998
Discussion
7.

Let f(x) = ln(x)/x+1 and let y(n) denote the nth derivative of f(x) at x = 1 then the value of 2y(100) + 100y(99)

A. (99)!
B. (-99)!
C. (100)!
D. (-98)!
Answer» C. (100)!
Discussion
8.

Let f(x) = sin(x)/1+x2. Let y(n) denote the nth derivative of f(x) at x = 0 then the value of y(100) + 9900y(98) is

A. 0
B. -1
C. 100
D. 1729
Answer» B. -1
Discussion