Calculus - Study Mode
[#156] The area enclosed between the straight line y = x and the parabola y = x 2 in the x - y plane is
Correct Answer
(A) [frac{1}{6}]
[#157] Consider function f(x) = (x 2 - 4) 2 where x is a real number. Then the function has
Correct Answer
(B) only two minima
[#158] The local minima of function f(x) = x 2 - x 4 in the range -0.8 ≤ x ≤ 0.8 is located at
Correct Answer
(A) [{ ext{x}} = 0]
[#159] Let f be a real-valued function of a real variable defined as f(x) = x 2 for x ≥ 0, and f(x) = -x 2 for x < 0. Which one of the following statements is true?
Correct Answer
(D) f(x) is differentiable but its first derivative is not differentiable at x = 0
[#160] The value of [mathop {lim }limits_{{ ext{x}} o infty } {left( {1 + frac{1}{{ ext{x}}}}
ight)^{ ext{x}}}] xa0 is
Correct Answer
(C) e