Calculus Exam
| | (0, ∞)Question 8 Find the largest open interval(s) where the function is Increasing y = x4 - 18x2 + 81Answer | | (-∞, 0) | | | (-3, 0) | | | (-3, 3) | | | (3, ∞) | Question 9 S(x) = -x3 + 6x2 + 288x + 4000, 4 ≤ x ≤ 20 is an approximation to the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.Answer | | 8°C | | | 20°C | | | 4°C | | | 12°C | Question 10 Identify the location(s) of the Absolute Maximum for the given graph.
Answer | | (5,3),(-5,3) | | | (-3,0), (3,0) | | | (0,4) | | | (0,5)Question 11 Find the largest open intervals where the function is concave upward. f(x) = Answer | | None | | | (-∞, -1), (-1, ∞) | | | (-∞, -1) | | | (, ∞)Question 12 Sketch the graph and show all local extrema and inflection points. f(x) = >
>Answer | | Min: (0,0)
No inflection point
> | | | Min: >
No inflection point
> | | | Min: (0,0)
> , >
> | | | Min: >
No inflection point
> | Question 13 Find the largest open intervals where the function is concave upward. f(x) = x3 - 3x2 - 4x + 5Answer | | (1, ∞) | | | (-∞, 1) | | | None | | | (-∞, 1), (1, ∞) | Question 14 Find the location of the indicated absolute Minimum of f(x) over the given interval. f(x) = x3 - 3x2; [0, 4]Answer | | x = 2 | | | x = 0 | | | x = No minimum | | | x = 4Question 15 P(x) = -x3 + 12x2 - 21x + 100, x ≥ 4 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.Answer | | 4 hundred thousand | | | 10 hundred thousand | | | 7 hundred thousand | | | 13 hundred thousand | Question 16 The critical values of f(x) = 4x3 - 48x + 24 are x = -2 and x = 2. Use the first derivative test to determine which of the
Answer | | (5,3),(-5,3) | | | (-3,0), (3,0) | | | (0,4) | | | (0,5)Question 11 Find the largest open intervals where the function is concave upward. f(x) = Answer | | None | | | (-∞, -1), (-1, ∞) | | | (-∞, -1) | | | (, ∞)Question 12 Sketch the graph and show all local extrema and inflection points. f(x) = >
>Answer | | Min: (0,0)
No inflection point
> | | | Min: >
No inflection point
> | | | Min: (0,0)
> , >
> | | | Min: >
No inflection point
> | Question 13 Find the largest open intervals where the function is concave upward. f(x) = x3 - 3x2 - 4x + 5Answer | | (1, ∞) | | | (-∞, 1) | | | None | | | (-∞, 1), (1, ∞) | Question 14 Find the location of the indicated absolute Minimum of f(x) over the given interval. f(x) = x3 - 3x2; [0, 4]Answer | | x = 2 | | | x = 0 | | | x = No minimum | | | x = 4Question 15 P(x) = -x3 + 12x2 - 21x + 100, x ≥ 4 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.Answer | | 4 hundred thousand | | | 10 hundred thousand | | | 7 hundred thousand | | | 13 hundred thousand | Question 16 The critical values of f(x) = 4x3 - 48x + 24 are x = -2 and x = 2. Use the first derivative test to determine which of the