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What do you call this OP-AMP configuration? Derive its output expression.

  If V1(t)=sin(2000Πt), What is output voltage at t=3ms? C=1uF and R=1kΩ

  1. What is the next root of x1 given the following

a. The angle line tangent to the function f(x) makes at x = 3 is 57o with respect to the x-axisb. The initial estimate of the root is x = 3, f(3) = 5.           Root equation is f(x) = 0 and solve it using Newton-Raphson Method

  1. What is the second iterative value of the root of te-t – 0.3 = 0 using the bisection method, given an initial value of [1,5].
  2. What is the absolute relative approximate error at the end of the iteration, given that the beginning of an iteration is the lower and upper guesses of the root are xl and xu. use bisection method to find the root of f(x) = 0.
  3. Solve the square root of R from the equation x2 – R = 0, using the Newton-Raphson Method.
A commercially pure copper rod is extruded from an initial diameter of 25 mm to a final diameter of 12.5 mm through a die of apex angle 60 degrees. When Vickers hardness measurements are made on the extruded rod, it is found that the outermost 50 micrometer surface layer has a hardness of 300 kg/mm2 , while the remainder of the rod (bulk) has a hardness of 270 kg/mm2 . Hardness measurements made on similar commercially pure copper samples compressed to different strains showed the hardness H (kg/mm2 ) to be equal to 60 + 120
A sloping distance is measured with a 30-m steel tape. The measurements made are 30.00 m on a 7 degrees’ slope; 26.37 m on a 15 degrees’ slope and 29.50 m on a 1:2 ½ slope (V:H). (use the approximate slope correction formula for gentle slopes) 1.1. What is the corrected horizontal distance in the first segment, in meter, (S1=30.00 m; slope is 30 degrees)?

Draw an isometric view of dovetail slide.


The total charge entering a terminal is given by 1 = (10 – 10e^(-2t))mC. Calculate the current at t = 0.5s
20 samples, each the size of 7. The center line of a three sigma pair of X bar and R chart, used for monitoring the process, is 55.9 & 12.6, respectively. Assume the process is IN statistical CONTROL. What is the Average Run Length to detect a shift of the process mean to 60. std remains the SAME

An Educational Institute requires a library management system and has contacted your firm. You have 25 programmers, out of which 18 are busy with other projects for the time being. The Institute intends to acquire library books and other equipment, which they want to interface with the computer system. The annual evaluation of the Institute is due soon, in which computerization initiatives are appreciated. (i) Create the process model that you think will be most appropriate for the following situation. Also, list your reasons for choosing the process model and any assumptions that you make. (ii) Assess three reasons not to choose Spiral Model (iii) Outline three reasons not to choose RAD Model


  1. Find the magnitude of two like parallel forces acting at a distance of 240 mm, whose resultant is 200 N, and its line of action is at a distance of 60 mm from one of the forces.?
  2. ABCD is rectangle, in which AB = CD = 100 mm and BC = DA = 80 mm. Forces of 100 N each act along AB and CD and forces of 50 N each at along BC and DA. Find the resultant moment of the two couples.?
  3. Two men carry a weight of 2 kN by means of two ropes fixed to the weight. One rope is inclined at 45° and the other at 30° with their vertices. Find the tension in each rope.




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