1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The most economical proportion of the height of a covered box of fixed volume whose base is a rectangle with one side three times as long as the other, is

A
$$\frac{3}{2} \times$$ shorter side of base
B
Equal to shorter side of base
C
$$\frac{1}{2} \times$$ shorter side of base
D
3 times shorter side of base
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The slope of the tangent to the curve, $$y=x^2-x y$$ at $$\left(1, \frac{1}{2}\right)$$ is

A
$$\frac{4}{3}$$
B
$$\frac{2}{3}$$
C
$$\frac{3}{4}$$
D
$$\frac{3}{2}$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$f(x)=a+(x-4)^{\frac{4}{9}}$$, then minima of $$f(x)$$ is

A
4
B
a
C
a $$-$$ 4
D
None of these
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The function $$f(x)=\frac{x}{2}+\frac{2}{x}$$ has a local minimum at

A
$$ x=2 $$
B
$$ x=-2 $$
C
$$ x=0 $$
D
$$ x=1 $$
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