1
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 ____
2
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 ____
3
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 ____
4
GATE CSE 2021 Set 1
Numerical
+1
-0
Consider the following expression
$$\mathop {\lim }\limits_{x \to -3} \frac{{\sqrt {2x + 22} - 4}}{{x + 3}}$$
The value of the above expression (rounded to 2 decimal places) is ______
Your input ____
Questions Asked from Calculus (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2024 Set 2 (1)
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