1
-1
1/2
0
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
None
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
The differential coefficient of log (|log x|) w.r.t. log x is
None
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33

0
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.00
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33

-1
1/2
0
None
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66

Choose correct option

f is continuous at x= 0
f is continuous at x=1
f is not continuous at x = 1
None of the above
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Given f (3) = 6 , f ′(3) = 8, f ′′(3) = 11, and all other higher order derivatives of f (x) are zero at

x = 3, and assuming the function and all its derivatives exist and are continuous between x = 3 and

x = 7 , the value of f (7) is

126
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Given that y(x) is the solution to y(0) = 3 the value of y(0.2) from a second order Taylor polynomial around x = 0 is______.(Up to 2 decimal places).
24.46
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
The function is called the error function. It is used in the field of probability and cannot be calculated exactly. However, one can expand the integrand as a Taylor polynomial and conduct integration. The approximate value of erf (2.0) using the first three terms of the Taylor series around t = 0 is
-0.75225
0.99532
1.5330
2.8586
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Which of the following is the third Taylor polynomial of the function

Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
The following is the fourth order Taylor polynomial of the function f(x) at a.

What is f’” (a) ?

2√3
1/2π
1/6π
3/π
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Continuous
discontinuous at x = 0 and has discontinuity of first kind
More than one of the above
None of the above
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
Examine the continuity of a function f(x) = (x - 2) (x - 3)
Discontinuous at x = 2
Discontinuous at x = 2, 3
Continuous everywhere
Discontinuous at x = 3
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66