Solve the problem.John owns a hot dog stand. He has found that his profit is represented by the equation 
with P being profits and x the number of hot dogs sold. How many hot dogs must he sell to earn the most profit?
A. 36 hot dogs
B. 35 hot dogs
C. 47 hot dogs
D. 23 hot dogs
Answer: B
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Provide an appropriate response.Given that we know the Fundamental Theorem of Calculus, why would we want to develop numerical methods for definite integrals?i) Antiderivatives are not always expressible in closed form.ii)Numerical methods are a good excuse to use our graphics calculator.iii) The function f(x) may not be continuous on [a,b].
A. Both i and iii are correct. B. Only ii is correct. C. Only iii is correct. D. Only i is correct.
Simplify. Assume that all variables represent positive numbers.
A. 5xy
B. 5xy2
C. 5x2
D. 5x
Solve the problem.Dave can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 38 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground. Round to the nearest tenth when necessary.
A. 4.6 mph B. 5.4 mph C. 8 mph D. 7.6 mph
Simplify the square root. Assume all variables represent nonnegative real numbers.
A. 5x2
B. 5xy
C. 5xy2
D. 5x