Find, with justification, what the absolute maximum value of f(x) = x3 – 3x on the...
Find the ABSOLUTE MAXIMUM value of the function f(x) = – x3 + 3x2 - 4 on the closed interval [ – 2,1]. 1A - 4 B. o C-1 D. -2 E 16
The function f(x,y)=3x + 3y has an absolute maximum value and absolute minimum value subject to the constraint 9x - 9xy +9y+= 25. Use Lagrange multipliers to find these values. The absolute maximum value is (Type an exact answer.) The absolute minimum value is . (Type an exact answer.)
Find the absolute maximum and absolute minimum values of the function f(x, y) = 3x ^2 + 2y ^2 on the unit disk x^ 2 + y ^2 ≤ 1 , as well as the (x, y) coordinates where these extrema occur.
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4. 3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
Consider the function f(x) = x3 + 3x² - 9x +1. (a) Identify all critical points of f(x). (Providing the -values will be sufficient. Hint: They will be integers.) (b) Use your answer from (a) to identify the absolute maximum value (global max) and absolute minimum value (global min) of f(x) over the x-interval (-2,2]. (Be clear and correct about what you are checking for full credit!)
Find the absolute maximum value and absolute minimum value of the function f ( x ) = 4sin^3 x + 3cos^2 x on [ 0,π ] .
Find the absolute maximum value and the absolute minimum value of the function f(x) = esin(x) on the interval [0,21]. Express the answer in terms of the natural number, e. Do not use decimal approximations of the answer. absolute maximum: absolute minimum:
Find the absolute maximum value and the absolute minimum value, if any, of the function. f(x) = 8r--on 17.9)
Find all maximum (local and absolute) and minimum (local and absolute) for f(x) = (7 + x)(11 – 3x)1/3. Clearly show why.
(1 point) Find the absolute maximum and minimum values of f(x) = 42 - 4 + 3x? If any, over the interval (-0, +00). absolute maximum is and it occurs at x = absolute minimum is and it occurs at x = Notes: If there is more than one x value, enter as a comma separated list. Enter "none" in any unused answer box.