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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
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lim x/e^x? as x→∞
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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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prob stat: One sample of n=4 scores has a mean of M=10, &
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
prob stat: 1st/2 parts. One sample has a mean of M=6 &
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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub
Rutgers U: Verify using calculus
Variability or spread of a distribution. Whey we need it!
NYU: 3 ways ∫(1+ln(x))/x dx
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
Evaluate these 7 integrals ...
1st/2 ways: integral ∫1/(x(x^n -1)) dx
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
2010 Raytheon MATHCOUNTS National Competition
Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx
U Arizona: 2nd way For each integral decide which of the following is needed: ...
Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx