Q.5779·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.5780·Miscellaneous·2019·EasyA ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60°. What is the height of the flagstaff?View question
Q.5781·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.5782·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.5783·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.5784·Miscellaneous·2019·EasyLet f(x) = x², g(x) = tan x and h(x) = ln x. What is equal to ?View question
Q.5785·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.5786·Miscellaneous·2019·EasyConsider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?View question
Q.5787·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 g(x) ?View question
Q.5788·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.5789·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.5790·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.5791·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.5792·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.5793·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.5794·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.5795·Miscellaneous·2019·EasyFor what value of k is the function ⎧ 2x + 1/4 , x < 0 f(x) = ⎨ k , x = 0 continuous ? ⎩ (x + 1/2)^2 , x > 0View question
Q.5796·Miscellaneous·2019·EasyIf the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which one of the following is correct?View question