Please readable hand writing ✍️ 4. [10] Find the curvature intervals and inflection point(s). y =...
4. Find the point on the hyperbola xy 8 that is closest to the point (3,0). 10 pts. Find intervals of INC, DEC, CU, and CD, and points of inflection. 5. 10pts. y+3x-9x+ 4. Find the point on the hyperbola xy 8 that is closest to the point (3,0). 10 pts. Find intervals of INC, DEC, CU, and CD, and points of inflection. 5. 10pts. y+3x-9x+
let y= 2x^4 - 12x^2 + 2 a. find all point of inflection. be sure to write your answer in form (x,y) b. list the intervals on which the graph is concave upward and concave downward.
7. List the intervals of concavity and the inflection point(s) for the following function. If there are none write NA. f(x) = x4 – 4x3 Intervals on which f is Concave Up: Intervals on which f is Concave Down: Inflection Point(s) (ordered pair):_
1. f (s) = 23 – 4.x2 + 162 – 10 (a)Find the x- and y-coordinates of the critical point(s). Make a box around your answer. (b) Determine coordinates of the local maximum and minimum min if exist. If there is no local max/min, state this. Specify what Test you are using. Make boxes around your answers. Show all work. (c) Determine intervals of concavities up and down and the coordinates of the inflection point(s). If there is no inflection...
Please help me find the inflection point EXAMPLE 6 Discuss the curve y = 2x4 – 32x3 with respect to concavity, points of inflection, and local maxima and minima. Use this information to sketch the curve. SOLUTION If f(x) = 2x4 – 32x3, then f'(x) 8x3 - 96x2 = 8x2(x – 12) f"(x) = 24x2 192x = 24x(x – 8). To find the critical numbers we set f'(x) = 0 and obtain x = 0 and x = 12 the...
Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) y = 2x - In x (x, y) = _______ Describe the concavity. (Enter your answers using interval notation. If an answer does not exist, enter DNE. concave upward concave downward
3.) Sketch the curve y = x - 3x1/. Before sketching please find intercepts, intervals of increasing and decreasing intervals of concavity, local extreme values, and points of inflection. (5 points)
Will rate, please help!!! - Use the First Derivative Test to find a) the intervals over which f(x) is increasing and decreasing, and b) the local extrema (mins and maxes) of FC). Write your answers as intervals and ordered pairs. You must show your work to receive credit; simply writing the answer will indicate that you used technology and will not be counted as a valid attempt. Hint: Drawing and labelling a number line is useful. f(x) = x +...
answer all and show work please. clear hand writing please 1. (6 points) Let f(x) = -x2 - 2x + 3. (a) Does the graph of f(x) open upward or downward? Justify your answer. 6) Algebraically find the vertex and axis of symmetry of f(x). Report each answer as an ordered pair and equation, respectively, Vertex Axis of Symmetry: (C) Algebraically find the X- and y-intercepts of f(x). Report your answer(s) as an ordered pair(s). x-intercepts: y-intercept: (a) Using parts...
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection x+4 points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as...