MCQOPTIONS
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MCQOPTIONS
This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Integral Calculus knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The x-coordinate of the center of gravity of a plane region is given by, (x_c= frac{1}{M} xf(x,y)dxdy. ) |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
Given ( _0^8x^ frac{1}{3}dx, ) find the error in approximating the integral using Simpson s 1/3 Rule with n=4. |
| A. | 1.8 |
| B. | 2.9 |
| C. | 0.3 |
| D. | 0.35 |
| Answer» E. | |
| 3. |
Which of the following equation represents Moment of Inertia of a plane region relative to x-axis? |
| A. | x<sup>2</sup> f(x,y)dxdy |
| B. | xf(x,y)dxdy |
| C. | y<sup>2</sup> f(x,y)dxdy |
| D. | yf(x,y)dxdy |
| Answer» D. yf(x,y)dxdy | |
| 4. |
Volume of an object expressed in spherical coordinates is given by (V = _0^2 _0^ frac{ }{3} _0^1 r cos ,dr ,d ,d . ) The value of the integral is _______ |
| A. | ( frac{ 3}{2} ) |
| B. | ( frac{1}{ 2} ) |
| C. | ( frac{ 3}{2} ) |
| D. | ( frac{ 3}{4} ) |
| Answer» E. | |
| 5. |
What is the result of the integration ( _3^4 _1^2(x^2+y)dxdy )? |
| A. | ( frac{83}{6} ) |
| B. | ( frac{83}{3} ) |
| C. | ( frac{82}{6} ) |
| D. | ( frac{81}{6} ) |
| Answer» B. ( frac{83}{3} ) | |
| 6. |
The region bounded by circle is an example of regular domain. |
| A. | False |
| B. | True |
| Answer» C. | |
| 7. |
Which of the following is not a property of double integration? |
| A. | af(x,y)ds = a f(x,y)ds, where a is a constant |
| B. | (f(x,y)+g(x,y))ds = f(x,y)ds+ g(x,y)ds |
| C. | ( _0^Df(x,y)ds = _0^{D1}f(x,y)ds+ _{D1}^{D2}f(x,y)ds, ) where D is union of disjoint domains D1 and D2 |
| D. | (f(x,y)*g(x,y))ds = f(x,y)ds* g(x,y)ds |
| Answer» E. | |