Applications of...

How many real solutions does the equation x⁷ + 14x⁵ + 16x³ + 30x - 560 = 0 have ?

If the function f(x) ax³ + bx² + 11x - 6 satisfies the condition of Rolle's theorem in [1, 3] and

Select the correct statement from (a), (b), (c) and (d). The function f(x) = xe^{1 - x}

Rolle's theorem is not applicable to the function f (x) = |x| for -2 ≤ x ≤ 2 because

If f(x) = 3x⁴ + 4x³ - 12x² + 12, then f(x) is

The function f(x) = 2x³ + 13x² - 12x + 1 decreases in the interval

A value of c for which the conclusion of mean value theorem holds for the function f(x) = log_e x on the interval [1, 3] is

The value of b for which function f(x) = sin x - bx + c is decreasing in the interval (-∞, ∞) is given by