1
GATE CSE 2023
MCQ (More than One Correct Answer)
+1
-0
Let $$f(x) = {x^3} + 15{x^2} - 33x - 36$$ be a real-valued function. Which of the following statements is/are TRUE?
2
GATE CSE 2023
Numerical
+1
-0
The value of the definite integral
$$\int\limits_{ - 3}^3 {\int\limits_{ - 2}^2 {\int\limits_{ - 1}^1 {(4{x^2}y - {z^3})dz\,dy\,dx} } } $$
is ___________. (Rounded off to the nearest integer)
Your input ____
3
GATE CSE 2022
Numerical
+1
-0
The value of the following limit is _____________.
$$\mathop {\lim }\limits_{x \to {0^ + }} {{\sqrt x } \over {1 - {e^{2\sqrt x }}}}$$
Your input ____
4
GATE CSE 2021 Set 2
Numerical
+1
-0
Suppose that f : R → R is a continuous function on the interval [-3, 3] and a differentiable function in the interval (-3, 3) such that for every x in the interval, f'(x) ≤ 2. If f(-3) = 7, then f(3) is at most _______.
Your input ____
GATE CSE Subjects
Browse all chapters by subject
Theory of Computation
Operating Systems
Algorithms
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages