Q.5797·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function f(x) ?View question
Q.5798·Miscellaneous·2019·EasyConsider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?View question
Q.5799·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 If h(x) = 5f(x) – xg(x), then what is the derivative of h(x) ?View question
Q.5800·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 Consider the following statements : 1. f[g(x)] is a polynomial of degree 3. 2. g[f(x)] is a polynomial of degree 2. Which of the above statements is/are correct ?View question
Q.5801·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 What are the roots of the equation g[f(x)] = 0 ?View question
Q.5802·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?View question
Q.5803·Miscellaneous·2019·EasyWhich one of the following is the differential equation that represents the family of curves y = 1 / (2x² - c) where c is an arbitrary constant ?View question
Q.5804·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function h(x) ?View question
Q.5805·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?View question
Q.5806·Miscellaneous·2019·EasyConsider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function increasing ?View question
Q.5807·Miscellaneous·2019·EasyLet f(x) = x², g(x) = tan x and h(x) = ln x. What is equal to ?View question
Q.5808·Miscellaneous·2019·EasyConsider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function decreasing ?View question
Q.5809·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. What is the slope of the curve at the point of intersection P ?View question
Q.5810·Miscellaneous·2019·EasyWhich one of the following is the second degree polynomial function f(x) where f(0) = 5, f(–1) = 10 and f(1) = 6 ?View question
Q.5811·Miscellaneous·2019·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5812·Miscellaneous·2019·EasyThe angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of A is y. If AB = z, then which one of the following is correct?View question
Q.5813·Miscellaneous·2019·EasyFrom a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?View question
Q.5814·Miscellaneous·2019·EasyA problem is given to three students A, B and C whose probabilities of solving the problem are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if they all solve the problem independently?View question