(1 point) Suppose f(z, y) (z-y) (16-zy). Answer the following. Each answer should be a list of po...
(1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of f(x, y). If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e.g., "(1,2), (3,4). (5,6)" Critical points are List all critical points of f(x,y) which are local maxima. If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e... "(1,2), (3,4), (5,6) Local maxima occur...
Let f(x, y) = x(x – 1) + y2. (a) [1 point] Sketch the level curves of f. (b) [2 points] Compute the gradient of f, and sketch it as a vector field. (c) [3 points) Find all critical values of f and classify them as local maxima, local minima, or saddle points.
(1 point) Suppose that f(x) = (??-9) (A) Find all critical values off. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 00,- for -00, and for the union symbol. If there are no values that satisfy the required condition, then enter ")" without the...
question 8 has parts (A-I) Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y). f(x,y)f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x<zx<z or if x=zx=z and y<wy<w. Also, determine whether the critical point a local maximum, a local minimim, or a saddle point. First point (____________,__________) Classification: Second point(__________,__________) Classification: Third point (___________,_________) Classification: Fourth point (__________,_________) Classification:
Each letter is a piece of one question. Therefore, fill in all of the blanks please. Thank you (1 point) Book Problem 9 6x - 5 Suppose that f(x) x +7 (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them...
Each letter is a different part of the same question. Therefore, please fill in all of the individual blanks. Thanks in advance Suppose that f(x) = x4 + 12x3. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them separated by...
(1 point) Let f(x) = 6x + Find the open intervals on which f is increasing (decreasing). Then determine the e-coordinates of all relative maxima (minima) 1. f is increasing on the intervals (-INF-sqrt(1/3)U(sqrt(1/3).INF) 2. fis decreasing on the intervals (-sqrt(1/3).0)0(0,sqrt(1/3)) 3. The relative maxima off occur at sqrt(1/3) 4. The relative minima off occur at z = sqrt(1/3) Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of...
(1 point) Below is the graph of the derivative f'(x) of a function defined on the Interval (0,8). You can click on the graph to see a larger version in a separate window. n (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can...
1. Find all local maxima, local minima, and saddle point ima, local minima, and saddle points of the following functions. f(x, y) = 27° +2y3 - 9x2 + 3y - 12y