Practice

IAT_NEST Calculus MCQ Practice

Practice ordinary MCQs and grouped Question Sets together in one continuous session.

Practice Questions

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Question 1 of 4
Q1SingleMarks: 4.00Negative: -1.00

If real polynomial p satisfies integral from 0 to 1 of p(t)dt=0, what is always true?

Q2SingleMarks: 4.00Negative: -1.00

For f(x)=sinx+1/sinx on (0,π), which statement is true?

Q3SingleMarks: 4.00Negative: -1.00

For the displayed piecewise function with exponential branch for x>0 and (1-cos2x)/x² for x<0, find f(0)=a for continuity.

Q4SingleMarks: 4.00Negative: -1.00

g=1 on [-1,1] and 0 otherwise; f(x)=lim(h→0)[1/(2h)]∫(x-h to x+h)g(y)dy. Find f(1).