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2. (20 pts) Consider the following function with its second derivative in simplified form (you should...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function....
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are...
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...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On what intervals is f increasing? Decreasing? (b) At what values of x does f have a local maximum? Local minimum? (c) On what intervals is f concave upward? Concave downward? (d) State the x-coordinate(s) of the point(s) of inflection. (e) Assuming that f(0) = 0, sketch a graph of f. 15. y A y = f'(x) --2 0 2 6 8 x -2
question 9 from A to F 9. (5 points) Please answer the following questions about the...
question 9 from A to F
9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...
Part IV: Applications Consider this function, along with its derivative and its seco derivative: 48(16 + 3r2 У -(...
Part IV: Applications Consider this function, along with its derivative and its seco derivative: 48(16 + 3r2 У -(a,2 - 16)3- (a2 16)3 48x 2228 y'-(2.2-167. The following 3 questions refer to the above function 16. What are the all the asymptotes? A. Vertical asymptotes at x = +2, x =-2 and a horizontal asymptote at y 2. B. There are no vertical asymptotes and a horizontal asymp- tote at y 2 C. Vertical asymptotes at +4, -4 and no...
Each letter is a part of a single question. Therefore, fill in all of the blanks...
Each letter is a part of a
single question. Therefore, fill in all of the blanks please.
Thanks in advance.
Consider the function f(x) = x - 6x13 For the following questions, write inf for 00, -inf for -, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist a.) The domain of this function: b.) The x-intercept(s): and the y-intercept(s): c.) The critical number(s): d.)f(x) is increasing on...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I ...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the m...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
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...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On what intervals is f increasing? Decreasing? (b) At what values of x does f have a local maximum? Local minimum? (c) On what intervals is f concave upward? Concave downward? (d) State the x-coordinate(s) of the point(s) of inflection. (e) Assuming that f(0) = 0, sketch a graph of f. 15. y A y = f'(x) --2 0 2 6 8 x -2
question 9 from A to F
9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...
Part IV: Applications Consider this function, along with its derivative and its seco derivative: 48(16 + 3r2 У -(a,2 - 16)3- (a2 16)3 48x 2228 y'-(2.2-167. The following 3 questions refer to the above function 16. What are the all the asymptotes? A. Vertical asymptotes at x = +2, x =-2 and a horizontal asymptote at y 2. B. There are no vertical asymptotes and a horizontal asymp- tote at y 2 C. Vertical asymptotes at +4, -4 and no...
Each letter is a part of a
single question. Therefore, fill in all of the blanks please.
Thanks in advance.
Consider the function f(x) = x - 6x13 For the following questions, write inf for 00, -inf for -, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist a.) The domain of this function: b.) The x-intercept(s): and the y-intercept(s): c.) The critical number(s): d.)f(x) is increasing on...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
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