MHT CET · Maths · Application of Derivatives
The edge of a cube is decreasing at the rate of 0.04 cm/sec. If the edge of the cube is 10 cms, then rate of decrease of surface area of the cube is …
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Let edge of a cube be cm, then surface area of the cube,
It is given that, cm/sec
Now,
when, then
It is given that, cm/sec
Now,
when, then
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\int \frac{\log (\cot x)}{\sin 2 x} \mathrm{~d} x=\)MHT CET 2023 Hard
- The area bounded by the parabola \(y^{2}=16 x\) and its latus - rectum in the first quadrant isMHT CET 2020 Medium
- If \(\mathrm{A}=\left[\begin{array}{lll}\mathrm{a} & 0 & 0 \\ 0 & \mathrm{~b} & 0 \\ 0 & 0 & \mathrm{c}\end{array}\right]\) where \(\mathrm{a}=7^{\mathrm{x}}, \mathrm{b}=7^{7^x}, \mathrm{c}=7^{7^{7^x}}\) then \(\int|A| \mathrm{d} x\), (Where \(|A|\) is the determinant of the matrix \(A\) ) is equal toMHT CET 2025 Medium
- \(\frac{\sin A+\sin 7 A+\sin 13 A}{\cos A+\cos 7 A+\cos 13 A}=\)MHT CET 2020 Medium
- Let \(\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}}\) and \(\overline{\mathrm{b}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}\). If \(\overline{\mathrm{c}}\) is a vector such that \(\overline{\mathrm{a}} \cdot \overline{\mathrm{c}}=|\overline{\mathrm{c}}|,|\overline{\mathrm{c}}-\overline{\mathrm{a}}|=2 \sqrt{2}\) and the angle between \(\overline{\mathrm{a}} \times \overline{\mathrm{b}}\) and \(\overline{\mathrm{c}}\) is \(\frac{2 \pi}{3}\), then \(|(\overline{\mathrm{a}} \times \overline{\mathrm{b}}) \times \overline{\mathrm{c}}|=\)MHT CET 2023 Medium
- The value of \(2 \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{1}{7}\)MHT CET 2023 Medium
More PYQs from MHT CET
- The radius of the earth and the radius of orbit around the sun are and respectively. The order of magnitude of the diameter of the orbit is greater than that of earth byMHT CET 2019 Medium
- A stationary wave is formed having 4 nodes along the \(120 \mathrm{~cm}\) length of the string.
The wavelength of the wave isMHT CET 2020 Easy - A closed pipe containing a liquid showed a pressure \(P_1\) by gauge. When the valve was opened, pressure was reduced to \(P_2\). The speed of water flowing out of the pipe is ( \(\rho=\) density of water )MHT CET 2024 Easy
- Two progressive waves are travelling towards each other with velocity \(50 \mathrm{~m} / \mathrm{s}\) and frequency \(200 \mathrm{~Hz}\). The distance between two consecutive antinodes isMHT CET 2020 Medium
- A buffer solution is prepared by mixing \(0.1 \mathrm{M} \mathrm{HCN}\) and \(0.2 \mathrm{M} \mathrm{NaCN}\) What is the \(\mathrm{pH}\) of buffer solution if \(\mathrm{pKa}\) of \(\mathrm{HCN}\) is 9.3? \((\log 2=0.3010)\)MHT CET 2022 Medium
- Calculate van't Hoff factor of \(\mathrm{K}_2 \mathrm{SO}_4\) if \(0.1 \mathrm{~m}\) aqueous solution of \(\mathrm{K}_2 \mathrm{SO}_4\) freezes at \(-0.43{ }^{\circ} \mathrm{C}\) and cryoscopic constant of water is \(1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\).MHT CET 2023 Medium