Test: Engineering Mathematics - 2 - Electronics and Communication Engineering (ECE) MCQ

  along the straight line from 

Consider the differential Equation    

It is given that  y'' + 2y' + y = 0 y(0) = 0 , y(1) = 0 y(0.5) is _______

If the function    is continuous at x = 0 then find f(0)?

For what value of k is the following function continuous  x = 0

If y = x |x|, then find Derivative of y?

and      find dy/dx

An insurance company insured 2000 cyclists, 4000 scooter drivers and 6000 motorbike drivers. The probability of an accident involving a cyclist, scooter driver and a motorbike driver are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?

In answering a question on a MCQ test with 4 choices per question, a student knows the answer, guesses or copies the answer. Let ½ be the probability that he knows the answer, ¼ be the probability that he guesses and ¼ that he copies it. Assuming that a student, who copies the answer, will be correct with the probability ¾, what is the probability that the student knows the answer, given that he answered it correctly?

The condition on “a” for which the system of equations

3x − y + 4z = 3, x + 2y − 3z = −2,6x + 5y + az = −3

has a unique solution is 

  then the eigen values of  A³ + 5A + 8I 
are 

The solution of 

The differential equation     given 
that x = 2 and 

The next iterative value of the root of x² − 4 = 0 using the Newton-Raphson method, if the initial guess is 3, is _________