MATH 110 Study Guide - Midterm Guide: Negative Number, Power Rule, Marginal Revenue

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turquoisegnu128

25 Oct 2018

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State the domain of the function f (x) = Solution: there are two things to consider here. We cannot divide by zero and we cannot take the square root of a negative number. Therefore, both of the following need to be satis ed: and which implies x (cid:54)= 1, 2 x 0, x 2. Therefore the domain will be all real numbers less than or equal to 2, except for x = 1. In interval notation this is: ( , 1) (1, 2: for the given functions f and g, calculate (f g)( 2). f (x) = |1 x2|, g(x) = Solution: notice that we are not asked in this problem to nd the function (f g)(x). Nd the value of the function when x = 2. Because of this there are two ways to do this problem. We show both (and you should know how to be able to do both).

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If U and V are positive constants, find all critical points of the function. (Enter your answers as a comma-separated list.) F(t) = Ue t + Ve -t t = Find all critical points of f(x) = 20 x 2 e - 0.3x and classify them as local minima of ,maxima. x = (smaller value) This critical point is a . x = (larger value) This critical point is a . Consider f(x) = x 8 (7 - x) 9. Find f '(x) and simplify your answer. f '(x) = Find all critical points of f(x) and then use the first derivation test to determine local maxima and minima. f(x) has a at x = (smallest value) Local Maximum OR Minimum OR Neither f(x) has a at x = Local Maximum OR Minimum OR Neither f(x) has a at x = (largest value) Local Maximum OR Minimum OR Neither Find the inflection points of f(t) = t 4 + t 3 - 18t 2 +8. Give exact answer. t = (smallest value) t = (largest value) Sketch a possible of y = f(x), using the given information about derivation y' = f'(x) and y" = f"(x). Assume that the function is defined and continuous for all real x. Let f be a function f(x) > 0 for all x. Let g = 1/f. If f is increasing in an interval around x 0, what about g? g is increasing in an interval x 0. g is zero in an interval around x 0. g is decreasing in an interval around x 0. We cannot tell whether g is increasing or decreasing in an interval around x 0. g is constant in an interval around x 0. If f has a local maximum at x 1, what about g? g has a local maximum at x 1. g has both a local minimum and a local maximum at x 1. We cannot tell whether g has a local minimum or a local maximum at x 1. g has an inflection point at x 1. g has a local minimum at x 1. If f is a concave down at x 2, what about g? g is increasing at x 2. g is flat at x 2. We cannot tell whether g is concave up of concave down at x 2. g is concave down at x 2. g is concave up at x 2. You are given the graph of the second derivation function f" below. Which of the given have x-values that are inflection points of the function f? (Select all the apply.) A B C D E F G H I none of the above

Please I need quick help these questions , they are due so soon and I donât know the answers. Thanks

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apricotshark471

how do you do this? they both employ the same rules and I getconfused along the way. thanks in advance!

MATH 110 Study Guide - Midterm Guide: Negative Number, Power Rule, Marginal Revenue

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