Consider the function f(x) = 2x³ − 15x² + 36x + 1 over the interval [1,4]. Which statement in below is false? X = 2 is a local maximum of ƒ over [1, 4]. O x = 3 is the absolute minimum of f over [1,4]. fattains one absolute maximum over [1,4]. fii(3) > 0 fii(2) × fli(3) ≤0

Q: Please

A:

Q: Find the absolute extrema of the function f(x) = x* – 98x + 2401 on the interval [-8,8]. The…

A:

Q: Apply Rolle's theorem for the function f(x)-x2+2x over the interval [-2,0]. Justify your answer.

A: Rolle's theorem is used to prove the Taylor's theorem and the mean value theorem. Rolle's theorem…

Q: Let f be the function given by f(x) = Jax + b for x 2 where a and b are constants

A:

Q: Identify and sketch the domain of f(x, y) = 4x² In x Y

A: For function to be valid denominator must be non zero and log has non-negative real numbers and…

Q: Determine the interval (s) on which the function f(x) = 3xe* is concave down. O 号

A:

Q: Let f(x) be a differentiable function on the interval [3,6]. If f(6) = 3 and 3 <f (x)<4 then which…

A:

Q: The owner of a skating rink rents the rink for parties at $240 if 20 or fewer skaters attend, so…

A:

Q: Let a and b be real numbers. Consider the function y = f(x) = 1x² ax+b For which values of a and b,…

A:

Q: A/ Derive by definition: y = Vx - 3 ? B/ Determine the value of (z) and (k) that makes the function…

A: