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11 Jul 2018

The diagram at right shows a sernicircle of radius 1, subdivided into two sectors AOC and COB (b) For what value of 0 is the product of the two areas maximised? You must support your answer with clear reasoning and calculations.

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adieLv10

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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the

rectangle. What is the largest possible total area of the four pens?

Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it.
Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols.
Write an expression for the total area.
Use the given information to write an equation that relates the variables.
Use part (d) to write the total area as a function of one variable.
Finish solving the problem and compare the answer with your estimate in part (a).

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4.) Traveling at a constant speed, a race car goes 15 miles every 6 minutes. Use the unit rate method to solve the following: (a) How far does the race car go in 15 minutes? (b) How long does it take the race car to go 20 miles?

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coralmouse772

4. Sketch the graphs of the following functions in (a) through (c). You should explicitly address each of the following aspects in your solution. (1) Is the function even, odd, or neither under reflection about the y axis? (ii) What are the domain and range of the function? (iii) Does the function have any asymptotes (vertical, horizontal, or slant)? (iv) What is the y-intercept? (v) Find all roots (a-intercepts) of the function. If the function has no roots, state this explicitly, along with your reasoning. (vi) Find any global (absolute) extrema (maxima or minima). What is the maximal or minimal value? If there are no global extrema, state so explicitly, along with your reasoning (b) r(t) = 24 – 16

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The diagram at right shows a sernicircle of radius 1, subdivided into two sectors AOC and COB (b) For what value of 0 is the product of the two areas maximised? You must support your answer with clear reasoning and calculations.

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