AIEEE_Maths_Calculus_2 Online Test

/
 ____.
None of the above
A root of the equation  lies between 1 and 2. Its approximate value, as obtained by applying bisection method 3 times, is ____.
1.375
1.750
1.975
1.875
Performing 3 iterations of bisection method, the smallest positive approximate root of equation  is ____.
0.25
0.125
0.50
0.1875
A root of the equation  lies between 1 and 2. Its approximate value as obtained by applying bisection method 3 times is ____.
1.375
1.625
1.125
1.25
Trapezoidal rule for evaluation of  requires the interval (a, b) to be divided into ____.
2n sub-intervals of equal width
Any number of sub-intervals of equal width
3n sub-intervals of equal width
By Simpson’s rule, the value of  by dividing the range into eight equal parts, is ____.
1.2996
1.0996
1.1896
1.134
In a moderately asymmetrical distribution the mode and mean are 7 and 4 respectively. The median is ____.
4
5
6
7
By the application of Simpson’s one-third rule for numerical integration, with two sub-intervals, the value of  is ____.
By Simpson’s rule, the value of  dividing the interval (1, 2) into four equal parts, is ____.
0.6932
0.6753
0.6692
7.1324
Description:

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Calculus and which, in general, is focused in AIEEE and IIT JEE. Last year - 6 questions was asked from this chapter in AIEEE. In this chapter, Continuity, Differential Calculus and Properties of integration are key topic and mostly application based questions are asked.

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