Directions: Match each term to its correct definition. Each term will be used only once. 

Which of the following sentences correctly uses MLA author-page style in-text citation?

Which of the following correctly places the page number according to MLA in-text citation rules?

For the periodic function \(f(x)=4\sin(\pi x)+1\), the period is the amplitude is the average value is the maximum value is the minimum value is Desmos (click to reveal)

If \(\displaystyle\lim_{x\to 2}f(x)=\) `f` and \(\displaystyle\lim_{x\to 2}g(x)=\) `g`, what is the value of \(\displaystyle\lim_{x\to 2}\) (`a` \(f(x)+\)`b`\(g(x)\))?

The graph below shows the function \(f(x)\) along with a dashed line. The line in the graph is a line. The slope of this line is an rate of change of \(f(x)\).

The metabolism of a \(t\)-day-old albatross chick is given by \(m(t)\) watts per kilogram (\(\tfrac{W}{kg}\)).  \(m\,^\prime(10)=2\) means that when an albatross chick is old, its metabolism is . \(m(10)=4\) means that when an albatross chick is old, its metabolism is .    

Use the graph of \(f(x)\) to fill in the blanks. If a value does not exist, type DNE.   \(\displaystyle\lim_{x\to 4^-}f(x)=\) \(\displaystyle\lim_{x\to 4^+}f(x)=\) \(\displaystyle\lim_{x\to 4}f(x)=\) \(f(4)=\) Is \(f(x)\) continuous at \(x=4\)?

Numerically estimate \(\displaystyle\lim_{x\to 3^-}\left(1.25^x-0.1x\right),\) accurate to two decimal places. Fill in the table according to the conventions we have used in the textbook, practice problems, and homework.   \(x\to 3^-\) \(1.25^x-0.1x\) 2.9 We conclude that \(\displaystyle\lim_{x\to 3^-}\left(1.25^x-0.1x\right)=\)   Desmos (click to reveal)

Use the information below to answer the two (2) following questions:An inventor develops a stationary cycling device by which an individual, while pedaling, can convert all of the energy expended into heat for warming water. How much mechanical energy is required to increase the temperature of 300 g of water (enough for 1 cup of coffee) from 20°C to 95°C? (1 cal = 4.186 J, the specific heat of water is 4 186 J/kg⋅°C)