Q.11557·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = ³√x is continuous at all x except at x = 0. 2.The function f(x) = [x] is continuous at x = 2.99 where [.] is the bracket function. Which of the above statements is/are correct?View question
Q.11558·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = |x| is not differentiable at x = 1. 2.The function f(x) = e^x is differentiable at x = 0. Which of the above statements is/are correct?View question
Q.11560·Miscellaneous·2014·EasyConsider the following statements: 1.f′(2 + 0) does not exist. 2.f′(2 − 0) does not exist. Which of the above statements is/are correct?View question
Q.11561·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = sin x decreases on the interval (0, π/2). 2.The function f(x) = cos x increases on the interval (0, π/2). Which of the above statements is/are correctView question
Q.11562·Miscellaneous·2014·EasyWhat is the number of arbitrary constants in the particular solution of differential equation of third order?View question
Q.11563·Miscellaneous·2014·EasyWhat is the equation of a curve passing through (0, 1) and whose differential equation is given by dy = y tan x dx?View question
Q.11564·Miscellaneous·2014·EasyConsider the following statements in respect of the differential equation d²y/dx² + cos(dy/dx) = 0: 1.The degree of the differential equation is not defined. 2.The order of the differential equation is 2. Which of the above statements is/are correct?View question
Q.11565·Miscellaneous·2014·EasyWhat is the equation of parabola whose vertex is at (0, 0) and focus is at (0, -2)?View question
Q.11566·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 5) equal to?View question
Q.11567·Miscellaneous·2014·EasyConsider the curve y = e^(2x). Where does the tangent to the curve at (0, 1) meet the x-axis?View question
Q.11568·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 10) equal to?View question
Q.11569·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z > 11) equal to?View question
Q.11570·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z is the product of two prime numbers) equal to?View question
Q.11571·Miscellaneous·2014·EasyThe number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the mean of the distribution?View question
Q.11572·Miscellaneous·2014·EasyThe number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the median of the distribution?View question
Q.11573·Miscellaneous·2014·EasyThe number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the mode of the distribution?View question
Q.11574·Miscellaneous·2014·EasyThe mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively What is the combined mean of all 250 items?View question