**MA8151 Important questions Engineering Mathematics 1**

MA8151 Important questions Engineering Mathematics 1 Regulation 2017 Anna University free download. Engineering Mathematics 1 Important questions MA8151 pdf download free.

**Sample MA8151 Important questions Engineering Mathematics 1:**

**PART-A MA8151 Important questions Engineering Mathematics 1**

- Find the domain and range of the function ?(?) = 1 ?2−?
- Evaluate lim ?→2 ?2−5?+6 ?2+4
- Show that lim ?→0|?| = 0
- Where are of the function discontinues? 21 2 2 2 ) ( 2 ifx ifx x x x x f (MA8151 Important questions Engineering Mathematics 1)
- Find ?? ?? if y = (2?3 + 3)( ?4 − 2?)
- Find the equation of the tangent line to ? = 3? at (3,1)
- Find ?′ if y = ???? 1−????
- Find the critical point of ?(?) = ?3 + ?2 − ?

**PART-B MA8151 Important questions Engineering Mathematics 1**

- Find the domain and range and sketch the graph of the function ?(?) = √? + 2
- Evaluate lim ℎ→0 (3+ℎ)2−9 ℎ
- Show that lim ?→0 ?2 ??? 1? = 0 using sandwich theorem.
- Where the function ?(?) = ???? + ???−1? ?2−1 is continues?
- Find ?? ?? if ? = sin (cos(????))
- Find ?? ?? if sin(? + ?) = ?2???? (MA8151 Important questions Engineering Mathematics 1)
- Find the absolute maximum and absolute minimum value of the function ?(?) = ?3 − 3?2 + 1 ?? 12 ≤ ? ≤ 4
- Discuss the curve ?(?) = ?4 − 4?3 with respect to the local maximum and local minimum, concavity and the point of inflection.
- If w =f ( ? − ?, ? − ?, ? − ? ) then show that . 0 zw yw xw
- If z =f(x,y), Where , Prove that uv y v u x 2, 2 2 ) )( ( 42 2 2 2 2 2 2 2 2 2 yz xz v u vz uz
- If prove that yx y x u 2 2 1 sin u yu y xu x tan
- Find the Jacobian of y1, y2, y3 with respect to x1, x2, x3 if , , . 1 3 2 1 xx x y 23 1 2 xx x y 3 1 2 3 xx x y (MA8151 Important questions Engineering Mathematics 1)
- Find the Taylor’s series expansion of ex cosy in the neighborhood of the point (1, π/4) upto the third degree terms
- Expand ex log(1 + y) in powers of x and y upto terms of 3rd degree using Taylor’s expansion
- Examine the function f(x, y) = x3 y2 (12 – x – y) for extreme values. (MA8151 Important questions Engineering Mathematics 1)
- A rectangular box open at the top is to have a volume 32 c.c. Find the dimensions of the box requiring least material for its construction.

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**Partial derivatives**

**partial derivative Introduction:**

A partial derivative of a function of several variables is the ordinary derivative with respect to one of the variables, when all the remaining variables are kept constant. Consider a function u=f(x,y). Here , u is the dependent variable and x & y are independent variables. The partial derivative of u=f(x,y) with respect to x is the ordinary derivative of u w.r.to x, keeping y constant. It is denoted by

Subject name | Engineering Mathematics 1 |

Subject Code | MA8151 |

Semester | 1 |

Regulation | 2017 Regulation |

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