1
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67
Let $$f(x) = \int\limits_0^x {{e^t}(t - 1)(t - 2)dt} $$. Then f(x) decreases in the interval.
2
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67
Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region R?
3
GATE EE 2021
MCQ (Single Correct Answer)
+2
-0.67
In the open interval $(0,1)$, the polynomial $p(x)=x^4-4 x^3+2$ has
4
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A function $$f(x)$$ is defined as
$$f\left( x \right) = \left\{ {\matrix{ {{e^x},x < 1} \cr {\ln x + a{x^2} + bx,x \ge 1} \cr } \,\,,\,\,} \right.$$ where $$x \in R.$$
$$f\left( x \right) = \left\{ {\matrix{ {{e^x},x < 1} \cr {\ln x + a{x^2} + bx,x \ge 1} \cr } \,\,,\,\,} \right.$$ where $$x \in R.$$
Which one of the following statements is TRUE?
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