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Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b.
hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
Use the trichotomy of integers.
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
State at least two hypotheses you might use, specifically stating the null & alternate hypotheses & the type errors that might occur.
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
Can the researcher’s claim that their drug was successful and describe your answer.
Use the definition of the derivative to find the derivatives of the following functions: Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the deri..
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
Law of sines.
Estimate rate of changes.
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