let f(x)= 1/(7x^2+8). Find the open intervals on which f is concave up (down). Then determine...

let f(x)= 1/(7x^2+8). Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.

Expert Solution

milcah answered 2 years ago

Determine the intervals on which the graph of ?=?(?) is concave up or concave down, and...

Determine the intervals on which the graph of ?=?(?) is concave up or concave down, and find the points of inflection. ?(?) = (?^(2) − 17) ?^? Provide intervals in the form (∗,∗). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Provide points of inflection as a comma‑separated list of (?,?)...

y=x2/(7x+4) determine the intervals on which the function is increasing, decreasing, concave up, concave down, relative...

y=x2/(7x+4) determine the intervals on which the function is increasing, decreasing, concave up, concave down, relative maxima and minima, inflection points symmetry vertical and non vertical asymptotes and those intercepts that can be obtained conveniently and sketch the graph

Find the intervals where the graph of f(x)=2x^4-3x^2 is increasing, decreasing, concave up and concave down....

Find the intervals where the graph of f(x)=2x^4-3x^2 is increasing, decreasing, concave up and concave down. Find any inflection points, local maxima, or local minima. If none exist, write NONE. You must do number line sign charts to receive any credit.

Determine the intervals on which the graph of ? = ?(?) is concave up or concave...

Determine the intervals on which the graph of ? = ?(?) is concave up or concave down, and find the ?-values at which the points of inflection occur. ?(?)=? (? − 9 √x), ? > 0 (Enter an exact answer. Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list, if necessary. Enter DNE if there are no points of inflection.) ? = (Use symbolic notation and fractions where needed. Give your...

Determine the intervals on which the function is concave up or concave down. f(θ) = 11θ + 11 sin2(θ), [0, π]

1. Find the intervals on which the graph of f is concave upward, the intervals on...

1. Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. f(x)= -x^4 + 12x^3 - 12x + 19 For what interval(s) of x is the graph of f concave upward? 2. For the function f(x)= (8x-7)^5 a. The interval(s) for which f(x) is concave up. b. The interval(s) for which f(x) is concave down. c. The point(s) of inflection.

Determine over which intervals the following functions are increasing, decreasing, concave up, and concave down y...

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Determine where the given function is concave up and where it is concave down. f(x)= 2x^3-6x^2-90x...

Determine where the given function is concave up and where it is concave down. f(x)= 2x^3-6x^2-90x Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars R(x)=50x-0.1^2, C(x)=4x+10 Find the number of units that must be produced and sold in order to yield the maximum profit, given the equations below for revenue and cost....

4. Determine the intervals on which the graph of each function is concave up or concave...

4. Determine the intervals on which the graph of each function is concave up or concave down and determine all points of inflection. Justify your responses. a) y=1/20x^5 + 1/4x^4 - 3/2x^3 - 27/2x^2 + x-4 b) y=2x^1/5 +3

part 1) Let f(x) = x^4 − 2x^2 + 3. Find the intervals of concavity of...

part 1) Let f(x) = x^4 − 2x^2 + 3. Find the intervals of concavity of f and determine its inflection point(s). part 2) Find the absolute extrema of f(x) = x^4 + 4x^3 − 8x^2 + 3 on [−1, 2].

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