11. Consider the function f(x) = e-l=\. Where does f attain its absolute maximum on all...
Consider the function: f(x) = 12x* + 10x®+5, -15x51 Find the absolute maximum and the absolute minimum of the function f(x). Note. Write your final answer as a decimal number rounded to 3 decimal places. Answer: The critical points of the function f(x) are x = at X The absolute maximum of the function f(x) is at X The absolute minimum of the function f(x) is
Consider the function f(x) = 2 - 6r”, -551<1. The absolute maximum value is and this occurs at I = The absolute minimum value is and this occurs at 2 =
Find all maximum (local and absolute) and minimum (local and absolute) for f(x) = (7 + x)(11 – 3x)1/3. Clearly show why.
[(CO)] Let g(x) = f f(t) dt, where f is the function whose graph is shown. y Also 0,4 0,2 v -0,2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax (larger x-value) (b) Where does g attain its absolute maximum value?
Construct a continuous function f : D -> R which is bounded and does not attain 6. its maximum, if D = Bi(0) C R2. Can one construct such a function in the case of the close ball D B1(0)? Construct a continuous function f : D -> R which is bounded and does not attain 6. its maximum, if D = Bi(0) C R2. Can one construct such a function in the case of the close ball D B1(0)?
rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? (c) On what interval is g concave downward? (Enter your answer using interval notation.) (d) Sketch the graph of g. 0.5 -0.5 2 46...
[2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 13. [2 points] Find the absolute maximum and minimum values of the function f(x, y) = e*- (x2 +2y2) on the domain D: {x,y) | x2 + y24}. 13.
(6 pts) 11) Find the absolute maximum and minimum of the function f(x) = x/9 - 22 on the interval (0,3] Give your final answers as (x,y) points.
Find the absolute maximum and absolute minimum values of the function f(x)=x2+2/x [ 2.5 , 4 ] . Enter -1000 for any absolute extrema that does not exist. Absolute maximum = Absolute minimum =
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: