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Let and denote the area of region bounded by f(x) and the Xaxis, when varies from 1 to 1. Which of the following statements is/are TRUE?
I. is continuous in [1, 1]
II. is not bounded in [1, 1]
III. is nonzero and finite
A function f(x) is continuous in the interval [0,2] f(0) = f(2) = 1 and f(1) = 1. Which one of the following statements must be true?
Let f(x) be a polynomial and be its derivative. If the degree of is 10, then the degree of
Consider the following two statements about the function
Which of the following is TRUE?
Let f be a function defined by
Find the values for the constants a, b,c and d so that f is continuous and differentiable everywhere on the real line.
Let the function
where denote the derivative of f with respect to θ. Which of the following statements is/are TRUE?
The function satisfies the following equation:
. The value of is______.
The formula used to compute an approximation for the second derivative of a function f at a point x_{0} is
151 docs216 tests

151 docs216 tests
