Provide an appropriate response.For approximately what values of x can sin x be replaced by 
with an error of magnitude no greater than 
?
A. |x| < 0.56968
B. |x| < 0.49492
C. |x| < 0.33098
D. |x| < 0.41289
Answer: A
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Suppose a wire that is 107 feet long is cut into one piece of length x feet and another of length 
feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by
square feet.
A: Make a graph of A versus x. In choosing your viewing window, bear in mind that the formula makes sense only when x is between 0 and 107.B: What is the area at the left-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.C: What is the area at the right-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.D: How should the wire be used so that the maximum area is enclosed?
What will be an ideal response?
Determine if the argument is valid or a fallacy. Give a reason to justify answer.If it rains, then the squirrels hide.The squirrels are hiding. It is raining.
A. Fallacy by fallacy of the inverse B. Fallacy by fallacy of the converse C. Valid by modus tollens D. Valid by disjunctive syllogism
Perform the indicated operation.11.5 m + 34 cm (in meters)
A. 14.9 m B. 11.84 m C. 45.5 m D. 3411.5 m
Find the volume of a rectangular box with length L, width W, and height H.L = 6 cm, W = 3 cm, H = 5.1 cm
A. 45.9 cm3 B. 156.1 cm3 C. 91.8 cm3 D. 108 cm3