If f(x) = x^ 3 2 (3 x-10), x ≥ 0, then f(x) is increasing in ____… - Vidyadip

MCQ

If f(x) = $x^{\frac{3}{2}}(3 x-10)$, x ≥ 0, then f(x) is increasing in ______.

A
$(-\infty, 0] \cup(2, \infty)$
B
$(-\infty,-1) \cup[2, \infty)$
✓
$[2, \infty)$
D
$(-\infty,-1) \cup(1, \infty)$

✓

Answer

Correct option: C.

$[2, \infty)$

C

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from MHT-CET PCM 08→MHT-CET PCM 08 — all question types→MHT - CET STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Which of the following is a permanent method of contraception in a human female?

The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.

The electronic configuration of thorium (Z = 90) is ____________.

The intercept on the line $y = x$ by the circle $x^2 + y^2 - 2x = 0$ is $AB$. The equation of the circle with $AB$ as diameter is $........$

If universal gas constant is 8.3 joule/mole-Kand the Avogadro's number is $6 \times 10^{23}$, then mean kinetic energy of the oxygen molecules at $427^{\circ} \mathrm{C}$ will be ______.

Capacity of a parallel plate capacitor with a medium of dielectric constant 8 is 12 µF. If the medium is removed, then capacity of the capacitor would be ____________.

The work function of a metal is $1.6 \times 10^{-19} J$. When the metal surface is illuminated by the light of wavelength $6400 \mathring A$, then the maximum kinetic energy of emitted photo-electrons will be (Planck's constant $h =6.4 \times 10^{-34} Js$ )...........

The transition metal(s) present in limonite is(are) ____________.

Which of the following is a hydrogen bonded molecular solid?

The photo electric effect to take place for a metal, the minimum frequency required is $5.792 \times 10^{14} Hz.$ A light of wavelength $6000 \mathring A$ is incident on that metal surface. What is the corresponding frequency of light and will there be photoelectric emissions? $[$velocity of light $= 3 \times 10^8 m/s]$