1
GATE CSE 2023
MCQ (More than One Correct Answer)
+1
-0.33
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
-0.33
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
-0.33
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 2020
MCQ (Single Correct Answer)
+1
-0.33
Consider the functions
I. $${e^{ - x}}$$
II. $${x^2} - \sin x$$
III. $$\sqrt {{x^3} + 1} $$
Which of the above functions is/are increasing everywhere in [0,1]?
I. $${e^{ - x}}$$
II. $${x^2} - \sin x$$
III. $$\sqrt {{x^3} + 1} $$
Which of the above functions is/are increasing everywhere in [0,1]?
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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