let y= 2x^4 - 12x^2 + 2 a. find all point of inflection. be sure to...
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let
y= 2x^4 - 12x^2 + 2
a. find all point of inflection. be sure to...
Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) y = 2x - In x
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
Make sure you show your work clearly, use calculus, and box your final answer. No work...
Make sure you show your work clearly, use calculus, and box your final answer. No work = No credit. You may use a calculator, DESMOS, notes, and book. 1. (8 points) Let y = -x3 + 6x2 - 5 a. Find all critical numbers for f(x). b. Find the absolute extrema on the interval [-1, 3). Clearly label your answers. c. Find the absolute extrema on the interval [1, 3). Clearly label your answers. 2. (6 points) Let y =...
Let f(x) = 2x + 8/x +1 (a) Find the interval(s) where the function is increasing...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which...
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...
Find the intervals on which the graph offis concave upward, the intervals on which the graph...
Find the intervals on which the graph offis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2-9x+3x+4 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. IA. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For...
Please readable hand writing ✍️ 4. [10] Find the curvature intervals and inflection point(s). y =...
Please readable hand writing
✍️
4. [10] Find the curvature intervals and inflection point(s). y = x4 – 2x – 12x² + x + 7 CU CD Infl.
Please Label and circle answers, interval notation and ordered pair Find the intervals on which the...
Please Label and circle answers, interval notation and ordered pair
Find the intervals on which the graph of fis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2 - 15x2 + 3x+3 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. (Type your answer in interval notation. Type an exact answer. Use...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all infl...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
Please help me find the inflection point EXAMPLE 6 Discuss the curve y = 2x4 –...
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 largest open intervals on which the function is concave upward or concave downward, and...
Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = -x - = -x - 3x +4 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on...
Make sure you show your work clearly, use calculus, and box your final answer. No work = No credit. You may use a calculator, DESMOS, notes, and book. 1. (8 points) Let y = -x3 + 6x2 - 5 a. Find all critical numbers for f(x). b. Find the absolute extrema on the interval [-1, 3). Clearly label your answers. c. Find the absolute extrema on the interval [1, 3). Clearly label your answers. 2. (6 points) Let y =...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
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...
Find the intervals on which the graph offis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2-9x+3x+4 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. IA. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For...
Please readable hand writing
✍️
4. [10] Find the curvature intervals and inflection point(s). y = x4 – 2x – 12x² + x + 7 CU CD Infl.
Please Label and circle answers, interval notation and ordered pair
Find the intervals on which the graph of fis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2 - 15x2 + 3x+3 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. (Type your answer in interval notation. Type an exact answer. Use...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
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 largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = -x - = -x - 3x +4 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on...
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