Suppose f''(x) = 18x – 16, f'(2) 18x – 16, f'(2) = 11, and f(2) =...
2. Find the absolute extrema if they exist. (a) f(x) = -3x4 + 8x} +18x² + 2 (b) f(x) = b (c) f(x) = -1
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2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
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2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
Evaluate the integral. S (2x-1) In(18) dx (x2 – x)In 18x - +x+C 2 + x + C (21-x]ın 18x** 0 (x2 - x)In 18- x2 +x+C 0 (x2-x)in 18x - 2 + 2x +C
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22.Using the function f(x) = 2x3 - 3x2 - 18x - 8. Use your graphing calculator to help you. a. List the potential rational zeros. [2] P 9 b. Find one rational zero of f(x) using synthetic division. b. One rational zero [3] c. Rewrite f(x) using the Division Algorithm after finding one rational zero. c. f(x) = [2] d. Find all zeros of f(x). (Do not get them by graphing on your calculator!) Show...
2. x" + 6x' + 18x sin 2t, x(0) = -1, x'0) = 1.
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x +0.07x2 + 18x + 600, and currently 35 chairs are produced monthly a) What is the current monthly cost? b) What would be the additional cost of increasing production to 37 chairs monthly? c) What is the marginal cost when x35? d) Use the marginal cost to estimate the differedce in cost between producing 35 and 37 chairs per month. e) Use the answer from part (d)...
(a) Let Ω = [4, 101 and let A = 16, 6], [8, 10]} 2. (i) Find F(A) (ii) Let X : 2->R be defined by X = 2-1[4,5]-3 . 1 (6,8) Is X, F(A)-measurable? Justify your answer. (b) Let (2, F) be a measurable space, and let X :2-R. Suppose that X+ is F-measurable. Does this imply that X is F-measurable? Either prove it or give a counterexample.
(a) Let Ω = [4, 101 and let A = 16,...
(1 point) Show that the function f(x, y) = ux4 – 2x”y – 18x²y2 + vxy3 + wyt is harmonic, i.e. satisfies Laplace's equation af + əx2 a2f dy2 0 if and only if the constants U, V, w are given by U = V = W =
16: Problem 8 Previous Problem ListNext 1 point) 1) Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(z) dz < Σ f(n) Recall that e-Σ. ,,Suppose that tor each positive integer k f(k)- Find an upper bound Bor f(z) dz 2) A function is given by ts values may be found in tables. Make the change of variables y In(4) to express 1-4 d as a constant C times h(3). Find...