Q.11575·Miscellaneous·2014·EasyConsider the curve y = e^(2x). What is the slope of the tangent to the curve at (0, 1)?View question
Q.11576·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.11577·Miscellaneous·2014·EasyConsider an ellipse x²/a² + y²/b² = 1. What is the area included between the ellipse and the greatest rectangle inscribed in the ellipse?View question
Q.11578·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.11579·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.11581·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.11582·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.11583·Miscellaneous·2014·EasyWhat is the number of arbitrary constants in the particular solution of differential equation of third order?View question
Q.11584·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.11585·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.11586·Miscellaneous·2014·EasyWhat is the equation of parabola whose vertex is at (0, 0) and focus is at (0, -2)?View question
Q.11587·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.11588·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.11589·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.11590·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.11591·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.11592·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