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Consider the function f(x) 2x3 – 21x2 + 60x on the interval [-7, 6]. Find the...
Find the absolute extrema of the function f(x) = (x2+8)" on the interval [ - 1,5)....
Find the absolute extrema of the function f(x) = (x2+8)" on the interval [ - 1,5). The absolute maximum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.) The absolute minimum occurs at x = 0 (Simplify your answer. Use a comma to separate answers as needed.)
Find the absolute extrema of the function f(x) = (x2 + 8)"3 on the interval -...
Find the absolute extrema of the function f(x) = (x2 + 8)"3 on the interval - 1,5). The absolute maximum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.) The absolute minimum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.)
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y...
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This...
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3 + 2y2 - 24x - By Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed)
Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...
Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, (-00,00) f(x) = 0.001x2 + 4.2x-10 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed.)...
Find any relative extrema of the function. List each extremum along with the x-value at which...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
Use the given function and the given interval to complete parts a through c. лл f(x)...
Use the given function and the given interval to complete parts a through c. лл f(x) = sin 2x on a. Find the critical point(s) off on the given interval. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed. Type an exact answer, using a as needed.) B. There are no critical points off on the...
please help Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10)....
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
Suppose that the function graphed below is f(x). Find the locations of all relative extrema of...
Suppose that the function graphed below is f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(cs) to complete your choice. Af(x) OFIN O A. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest Integer as needed. Use a comma to separate answers as needed.) The...
Find the absolute extrema of the function f(x) = (x2+8)" on the interval [ - 1,5). The absolute maximum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.) The absolute minimum occurs at x = 0 (Simplify your answer. Use a comma to separate answers as needed.)
Find the absolute extrema of the function f(x) = (x2 + 8)"3 on the interval - 1,5). The absolute maximum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.) The absolute minimum occurs at x = (Simplify your answer. Use a comma to separate answers as needed.)
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3 + 2y2 - 24x - By Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed)
Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, (-00,00) f(x) = 0.001x2 + 4.2x-10 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed.)...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
Use the given function and the given interval to complete parts a through c. лл f(x) = sin 2x on a. Find the critical point(s) off on the given interval. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed. Type an exact answer, using a as needed.) B. There are no critical points off on the...
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
Suppose that the function graphed below is f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(cs) to complete your choice. Af(x) OFIN O A. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest Integer as needed. Use a comma to separate answers as needed.) The...
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