Engineering Mathematics Certification Exam Tests

Engineering Mathematics Practice Test 23

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**MCQ 111**: Sin^{2}x+cos^{2}x=

- 0
- 1
- sinx
- 2cosy

b

**MCQ 112**: _{∂}/^{∂x}(uv)=

- u
^{∂u}⁄_{∂x} - u∂v/∂x+v∂u/∂x
- u∂v/∂x−v∂u/∂x
- u
^{∂v}⁄_{∂x}xv^{∂u}⁄_{∂x}

b

**MCQ 113**: A function is a mapping from one set, known as a domain to another set, known as the

- Distant
- Proper
- Bound
- Range

d

**MCQ 114**: Differential equation which is formed by the products of the unknown function and its derivatives is allowed and its degree is > 1 is termed as

- ordinary differential equation
- partial differential equation
- linear differential equation
- nonlinear differential equation

d

**MCQ 115**: Laplace transform of f(t)=e^{−3t}t^{3} is

- 2!
- 2!/s
^{3} - 2!/(s+a)
^{3} - 3!/(s+a)
^{3}

c

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