Recent content by Happyzor
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How Many Ways Can You Arrange 3 Birds to Feed if Two Don't Get Along?
Ah ok, thanks. I was thinking order mattered and all, but now its clear order doesn't matter. There is only one way to choose the two birds. Then the 3rd combination is the combinations with the other 5 birds. Thanks a bunch for clearing it up.- Happyzor
- Post #3
- Forum: Calculus and Beyond Homework Help
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How Many Ways Can You Arrange 3 Birds to Feed if Two Don't Get Along?
Homework Statement You have 7 birds lined up to feed. Only 3 birds can feed at a time. Two of the 7 birds do not like to feed with each other. How many combinaions can be formed?Homework Equations C(n,k)=n!/k!(n-k)!The Attempt at a Solution Attempted solution C(7,3)-C(7,2)=21. That is the...- Happyzor
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- Combination Confused
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Prove Power Set equation by Induction
Thanks for your help. I didn't really understand what you meant, but I got help from someone else. I really appreciate it!- Happyzor
- Post #5
- Forum: Precalculus Mathematics Homework Help
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Prove Power Set equation by Induction
Why are they both equal to 2n? I understand why n*P({a1, a2, · · · , an}) is equal to 2n but why is the other one also 2n? Thanks for your help.- Happyzor
- Post #3
- Forum: Precalculus Mathematics Homework Help
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Finding end temperature of mixed substances
Did you remember to convert to kelvin?- Happyzor
- Post #3
- Forum: Introductory Physics Homework Help
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Prove Power Set equation by Induction
Homework Statement (a) Use induction to show that if n(A) = n then n(P(A)) = 2^n. n(A) is the cardinality of set A. P(A) is the power set of A.Homework Equations The answer is We apply induction to prove the claim. If n = 0 then A = null and in this case P(A) = {null}. Thus n(P(A)) = 1 =...- Happyzor
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- Induction Power Power set Set
- Replies: 4
- Forum: Precalculus Mathematics Homework Help
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What is the Derivative of a Swimming Pool with a Sloping Bottom?
I'm a newb but I'll try to help -_-. Try differentiating V=25h^2 with respect to t. Since you know dV/dt and h, you can figure out the answer.- Happyzor
- Post #4
- Forum: Calculus and Beyond Homework Help
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Newton's Law of Cooling problem
I'm pretty sure this is Newton's Law of Cooling. The problem states that the change in temperature(derivative) is proportional(C) to the difference between the two temps(TempCoffee-20). So the equation would look like Change in Temp=(Proportional Constant)X(Difference in temperature). From...- Happyzor
- Post #2
- Forum: Calculus and Beyond Homework Help