Important question

MA8151 Important questions Engineering Mathematics 1 Regulation 2017 Anna University

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

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

PART-B MA8151 Important questions Engineering Mathematics 1

  1. Find the domain and range and sketch the graph of the function ?(?) = √? + 2
  2. Evaluate lim ℎ→0 (3+ℎ)2−9 ℎ
  3. Show that lim ?→0 ?2 ??? 1? = 0 using sandwich theorem.
  4. Where the function ?(?) = ???? + ???−1? ?2−1 is continues?
  5. Find ?? ?? if ? = sin (cos(????))
  6. Find ?? ?? if sin(? + ?) = ?2???? (MA8151 Important questions Engineering Mathematics 1)
  7. Find the absolute maximum and absolute minimum value of the function ?(?) = ?3 − 3?2 + 1 ?? 12 ≤ ? ≤ 4
  8. Discuss the curve ?(?) = ?4 − 4?3 with respect to the local maximum and local minimum, concavity and the point of inflection.
  9. If w =f ( ? − ?, ? − ?, ? − ? ) then show that . 0          zw yw xw
  10. 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        
  11. If prove that          yx y x u 2 2 1 sin u yu y xu x tan    
  12. 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)
  13. Find the Taylor’s series expansion of ex cosy in the neighborhood of the point (1, π/4) upto the third degree terms
  14. Expand ex log(1 + y) in powers of x and y upto terms of 3rd degree using Taylor’s expansion
  15. Examine the function f(x, y) = x3 y2 (12 – x – y) for extreme values. (MA8151 Important questions Engineering Mathematics 1)
  16. 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. 

Padeepz E-Learning Materials MA8151 Engineering Mathematics 1

Padeepz E-Learning Materials MA8151 Engineering Mathematics 1 we have provided the sample materials in this page. If you like the sample and want to buy the full subject the procedure is also provided in this page.

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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