Graph the polynomial in the given viewing rectangle.
Y=x^4-18x^2+56,[-5,5]by[-61,61]
(a) From the graph, find the coordinates of all local maxima.
(b) From the graph, find the coordinates of all local minima.
Graph of y = x4 - 18x2 + 56 is given below
.
.
.
So on the basis of the above graph we have the following informations.
.
(a) Coordinate of local maxima : (0, 56)
.
(b) Coordinates of local minima : (-3, -25), (3, -25)
Graph the polynomial in the given viewing rectangle. Y=x^4-18x^2+56,[-5,5]by[-61,61] (a) From the graph, find the...
C) Find the absolute maxima and minima of the function f (x, y) = xy-y^2 over the region -2 < x < 2, -5 < y < 5. on the square -2Srs 2,-5US5 1. (10 points) For the function fa.)y- (a) (4 points) Shotch the region described by the inequalities -ss2,-5 svs5 Label the boundaries of the region and write down their equations (b) (5 points) Find and classify all the interior critical points of fe, y) as local maxima...
3. Find all local maxima, local minima and saddle points of the graph of f(x, y) 2x4-x2 + 3y2.
For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y= f(x) is f(_______ ) = _______ (Type integers or simplified fractions.) B. There is no absolute maximum for y = f(x). For the graph of a function y = f(x) shown...
Find all the local maxima, local minima, and saddle points of the given function.f(x,y)=x²+xy+y²+6x-6y+7Select the correct choice below and fill in any answer boxes within your choice.A. There are local maxima located atB. There are no local maxima.A. There are local minima located atB. There are no local minima.A. There are saddle points located at
f(x,y)=〖2x〗^2-12x+y^2-6y+10 (a). Explore the function for local minima and maxima: find critical points and determine the type of extremum. (b). Explore the given function for absolute maximum in the closed region bounded by the triangle with vertices (0,0), (0,3) and (1,3) (c). Identify if there are any critical points inside the rectangle. (d). Explore the function at each of three borders. (e)Determine absolute maximum and minimum. (f). Find critical points of the given function f(x,y) under the constrain x^2-y^2 x=4x+10
5. Letf(x) = x3 + x2 - x - 1. a. 6 pts Find all critical values off. Show all work. Answers from a graph will not receive full credit. b. 6 pts Make a sign chart for f'(x). c. 4 pts List the x and y coordinates of all local maxima and minima on the graph off. Clearly identify if the point is a maximum or minimum. d. 6 pts Make a sign chart for f'(x). e. 4 pts...
Find all the maxima and minima of the given function. f(x,y) = x2 + xy + y2 + 3x - 3y + 1 Find the maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is/are maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) B. There are no maxima. Find the values of the maxima. Select the correct choice below...
Use a graphing device to graph the given family of lines in the same viewing rectangle. What do the lines have in common? y=-2x+b for b=0,(+ or minus 1),(+ or minus 3),(+ or minus 6)
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...