Part 1: Write mathematical equations of sinusoids. 1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to
model the curve using the sine function.
(4.5, 2), (1.5, 22)

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Read the excerpt from muir's essay "calypso borealis" and answer the question. [5] how long i sat beside calypso i don't know. hunger and weariness vanished, and only after the sun was low in the west i splashed on through the swamp, strong and exhilarated as if never more to feel any mortal care. at length i saw maple woods on a hill and found a log house. i was gladly received. "where ha ye come fra? the swamp, that awfu' swamp. what were ye doin' there? " etc. "mony a puir body has been lost in that muckle, cauld, dreary bog and never been found." when i told her i had entered it in search of plants and had been in it all day, she wondered how plants could draw me to these awful places, and said, "it's god's mercy ye ever got out." examine the details muir includes in this paragraph. which statement accurately explains how muir's response to nature compares to the log house owner's response? he is enthusiastic and in awe while she is doubtful and fearful. muir cautiously admires whereas the lady shows religious dedication. the lady is more interested in the bog while muir is fascinated by plants. they both admire nature—its intense dangers and its true treasures.

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Read the following conclusion for an essay that claims that extreme sports should be more highly regulated because they are too dangerous: whether it is a high level of physical exertion, or extra doses of the "fear factor," it is common for extreme athletes to beat at the door of fate. it is these people who tempt their own mortality, while curious onlookers wait anxiously for the outcome, who must be protected from themselves. which statement provides the most accurate evaluation of the paragraph? a. the closing statement is unsatisfying b. the passage introduces new evidence. c. the thesis is not restated. d. the style is informal and inconsistent.