MCQOPTIONS
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MCQOPTIONS
This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Partial Differentiation knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A sphere with the dimensions is shown in the figure. What is the error that can be incorporated in the radius such that the volume will not change more than 2%? |
| A. | 0.06366% |
| B. | 0.006366% |
| C. | 0.6366% |
| D. | 6.366% |
| Answer» C. 0.6366% | |
| 2. |
The division rule of differentiation for two functions is given by, \((\frac{f(x)}{g(x)})’= \frac{f'(x)-g’ (x)}{(g(x))^2}. \) |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
What is the maximum area of the rectangle with perimeter 500 mm? |
| A. | 15,625 mm2 |
| B. | 15,025 mm2 |
| C. | 15,600 mm2 |
| D. | 10,625 mm2 |
| Answer» B. 15,025 mm2 | |
| 4. |
Find the range in which the function f(x) = 8 + 40x3 – 5x4 – 4x5 is increasing. |
| A. | 2<z<0, 0<z<3 |
| B. | 1<z<0, 0<z<2 |
| C. | 3<z<0, 0<z<2 |
| D. | 3<z<0, 0<z<4 |
| Answer» D. 3<z<0, 0<z<4 | |
| 5. |
What is the derivative of \(7\sqrt[3]{x}-\frac{3}{x^4}+5x\) with respect x? |
| A. | \(7x^{\frac{-1}{3}}-3x^{-5}+5\) |
| B. | \(7x^{\frac{-2}{3}}-3x^{-5}+5\) |
| C. | \(7x^{\frac{-2}{3}}-3x^{-3}+5\) |
| D. | \(7x^{\frac{-1}{3}}-3x^{-3}+5\) |
| Answer» C. \(7x^{\frac{-2}{3}}-3x^{-3}+5\) | |
| 6. |
The total derivative is the same as the derivative of the function. |
| A. | True |
| B. | False |
| Answer» B. False | |