Question
Please give a correct answer to all 10 questions to recive points.
f(x) = 5x + 9atx = 2 f(x) = 9; f(2) = 9 f (x) = 5; f (2) = 5 f(x) = 5x; f(2) = 10 f(x) = 0; f(2)=0 Find the relative extrema of the function, if they exist. f(x) = x2 - 4x + 7 Relative minimum at ( 2, 3) Relative minimum at ( 3, 2) Relative maximum at ( 2, 3) Relative maximum at ( 3, 2) A grocery store estimates that the weekly profit (in dollars) from the production and sale of x cases of soup is given by P(x) = -5600 + 9.5x - 0.0017x2 and currently 1300 cases are produced and sold per week. Use the marginal profit to estimate the increase in profit if the store produces and sells one additional case of soup per week. $5.08 $5.52 $7.29 $3877.00 f(x) = 6x + 2; [-1, 2] There are no absolute extrema. Absolute maximum: 12, absolute minimum: -6 Absolute maximum: 14, absolute minimum: -4 Absolute maximum: -1, absolute minimum: 2 f(x) = -3 - 7x; [-3, 1] Absolute maximum: 18, absolute minimum: -10 Absolute maximum: -10, absolute minimum: -24 Absolute maximum: 24, absolute minimum: -4 There are no absolute extrema f(x) = (-5x + 7)4 f '(x) = -20(-5x + 7)4 f '(x) = -20(-5x + 7)3 f '(x) = -5(-5x + 7)3 f '(x) = 4(-5x + 7)3 Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 2x2 at x = 1 f' (x) = 4x; f' (1) = 4 f' (x) = 2x; f' (1) = 2 f' (x) = 4x2; f (1) = 4 f' (x) = 4x; f (1) = 2 Relative maximum at [1/6,41/6] Relative maximum at [-6,- 41/6] Relative maximum at [-1/6,-41/6] Relative maximum at [1/6,41/6] f(x) = -6e3x -6e3x -18e3x 3e3x -18ex s(x) = -x2 - 20x - 19 Relative maximum at (-20, -19) Relative minimum at ( 20, -19) Relative maximum at ( 10, 81) Relative maximum at (-10, 81)
Explanation / Answer
11 B
12 A
13 A
14 C
15 A
16 B
17 A
18 C
19 A
20 D