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Mathematics Test - 17
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  • Question 1/10
    5 / -1
    Maximum value of sinx .cos x is 
  • Question 2/10
    5 / -1
    The minimum value of the function f(x) = |x - 4| exists at
  • Question 3/10
    5 / -1

    Consider the function f(x) = x + \(\rm \frac{1}{x}\). Which of the following is correct?

  • Question 4/10
    5 / -1
    What is the length of the longest interval in which the function f(x) = 3sin x – 4sin3 x is increasing?
  • Question 5/10
    5 / -1
    The maximum value of xy + 5 subject to 2x + y = 4 is:
  • Question 6/10
    5 / -1
    A stone thrown vertically upward satisfied the equation s = 64t - 16t2, where s is in metre and t is in second. What is the time required to reach the maximum height by the stone?
  • Question 7/10
    5 / -1
    The maximum value of \(\rm \frac{(log x)}{x}\) is
  • Question 8/10
    5 / -1
    The length x of a rectangle is decreasing at the rate of 7 cm/min and the width y is increasing at the rate of 6 cm/ min. when x =10 cm and y = 8 cm find the rate of change of the area of the rectangle.
  • Question 9/10
    5 / -1
    Let the slope of the curve y = sin-1 (cos x) be tan θ, then the value of θ in the interval (0, π) is
  • Question 10/10
    5 / -1

    Find the value of x for which f(x) = x - ex is an increasing function

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