1
GATE IN 2017
Numerical
+2
-0
The angle between two vectors $${X_1} = {\left[ {\matrix{ 2 & 6 & {14} \cr } } \right]^T}$$ and $${X_2} = {\left[ {\matrix{ { - 12} & 8 & {16} \cr } } \right]^T}$$ in radian is ________.
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2
GATE IN 2016
Numerical
+2
-0
Let $$\,\,f:\left[ { - 1, - } \right] \to R,\,\,$$ where $$\,f\left( x \right) = 2{x^3} - {x^4} - 10.$$ The minimum value of $$f(x)$$ is _______.
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3
GATE IN 2012
MCQ (Single Correct Answer)
+2
-0.6
The maximum value of $$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$ in the interval $$\left[ {1,6} \right]$$ is
A
$$21$$
B
$$25$$
C
$$41$$
D
$$46$$
4
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
The expression $${e^{ - ln\,x}}$$ for $$x > 0$$ is equal to
A
$$-x$$
B
$$x$$
C
$${x^{ - 1}}$$
D
$$-{x^{ - 1}}$$
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