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Determine whether f(x) = cos(sin(x^100)) is periodic, and if so, what the (smallest) period is?
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
A password for certain computer system consists of 3 lower-case letters (a-z) followed by 3 digits (0-9).
A pizza pan is removed at 8:00 PM from an oven at a fixed temperature of 400 degrees into a room that is a constant 72 degrees. After 5 minutes, the pan is at at 300 degrees F. At what time is the pan 135 degrees?
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
In a survey of 400 households regarding the ownership of VCRs and DVD players, the following data was obtained.
Please show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
a researcher predicts that watching a film on institutionalization will change students attitudes about chronically
What is the total weight of two boxes us 147 pounds. The first box weighs 52 pounds. Use compatible numbers to estimate the weight of the second box.
A poll of 69 students found that 24% were in favor of raising tution to build a new math building. The standard deviation of this poll is 4%. What would be the standard deviation if the sample size were increased from 69 to 205?
Do you always use the distributive property when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
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