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Determine whether Rolle's theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = (x − 1)(x − 3)(x − 5), [1, 5] Yes, Rolle's theorem can be applied.No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable on the open interval (a, b).No, because f(a) ≠ f(b). If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f ′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's theorem cannot be applied, enter NA.) c =

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The rectangular plate is subjected to the deformation shown by the dashed line in (Figure 1). The dimensions are $X = 120$ mm. $Y = 170$ mm. and $\Delta y = 5$ mm. Figure Part A Determine the average shear strain in the plate at point $A$. Express your answer in radians to three significant figures. $\gamma_{xy} =$ rad

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One answer to the free-cash-flow problem is for the firm to issue more Blank______ to commit cash flows and focus management's attention on avoiding Blank______. Multiple choice question. equity; debt debt; equity debt; financial distress equity; financial distress

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Pulmonary Ventilation: Intrapulmonary and Intrapleural Pressures 1. If intrapulmonary (intra-alveolar) pressure was 760 mm Hg, what would you expect the intrapleural pressure to be? 756 mmHg 764 mmHg 2. Contraction of the diaphragm and external intercostal muscles results in ______ in the thoracic volume which results in ______ of the intrapulmonary pressure. a decrease; a decrease a decrease; an increase an increase; an increase an increase; a decrease

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Assume the random variable x is normally distributed with mean 86 and standard deviation o4. Find the indicated probability P(x< 79) P(x< 79) = (Round to four decimal places as neoded.) Question Help Assume the random variable x is normally distributed with mean p = 86 and standard deviation a 4. Find the indicated probability P(x< 79) P(x< 79) (Round to four decimal places as needed.) Enter your answer in the answer box 11:58pm arch Cip

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Select the two Freudian stages of psychosexual development. ? Olfactory ? Oral ? Tactile ? Genital

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that dot on 7 corrties that dis is betow. math fing equition \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Country & Singapore & New Zealand & United Sutes & Germary & Crech Republic & Hungary & Meaico \\ \hline Firol & $ A 24 $ & 614 & 760 & $ n $ & 709 & 673 & 670 \\ \hline capits & 90500 & 34000 & 59.500 & 50200 & 35,200 & 24900 & 19500 \\ \hline \end{tabular} Orate the lent squares regression ine with $ x $ being the econonic freedom soce and y being per capta GOP, (yound numben to two deomal places) $ y= $ $ \square $ $ x+ $ $ \square $ What is the Aarion Conelution Coeflicient? (round to four decinal places) $ \mathrm{r}= $ $ \square $ is thas ine a goed fit or a bad fiet $ \square $ Uirg this ine, predict the per capit cop if the economic treedon index in as. $ \square $ If the economic tredom inder is so, should you predat? $ \square $ If the econorici frepiom nder is 60 , hould you predid? $ \square $ $ \square $ the ecconanc beedom inder is ba should you predid? $ \square $ If the economic fredom index is 9 , should you predidt $ \square $

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Question 5 Consider the following amino acid and its pKa values: H3N⁺-CH₂-CH₂-CH₂-CH₂-CH-C-O⁻ NH₃⁺ pKa1 = 2.18 pKa2 = 8.95 pKaR = 10.79 1. Draw the structure of the amino acid as the pH of the solution changes from highly acidic to strongly basic. 2. Which form of the amino acid is present at the isoelectric point? 3. Calculate the pI. Use the editor to format your answer.

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9. If approximately 1 in every 2500 white individuals in the United States is affected by the autosomal recessive disease cystic fibrosis, how many white Americans (out of 2500) are carriers for cystic fibrosis? a) Approximately 1 b) Approximately 4 c) Approximately 10 d) Approximately 100

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2.1 One of the essentials of a contract of sale is to have an agreement. Explain how this relates to the remaining three essentials elements of sale. In your response you are required to discuss what the remaining three essential elements are. (18)

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kayla b.