Consider the function $f(x)=1-\sqrt[3]{(x-1)^{2}}$
A wire of length 20 cm is to be bent into a rectangle. Which of the following statements is/are correct?
I. The rectangle of the largest area is the square.
II. It is possible to form a rectangle of an area of$ 27c m ^ 2$
Select the answer using the code given below.
Consider the following statements regarding the function f(x) = 1/(x - 5)
Statement-I: f(x) is decreasing on the intervals x < 5 and x > 5
Statement-II: f''(x) > 0 for all x ≠ 5.
Which one of the following is correct in respect of the above statements?
Consider the following statements:
Statement-I: The function $f(x)=\frac{x^{3}+128}{x}$ has a minimum value 48 at x = 4
Statement-II: As x increases through 4, f'(x) changes sign from positive to negative.
Which one of the following is correct in respect of the above statements?
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