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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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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: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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2010 Raytheon MATHCOUNTS National Competition
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JHU: integral ∫t^3 e^(t^2) dt
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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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.
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
Variability or spread of a distribution. Whey we need it!
U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
2 ways: integral ∫ (4t+7) dt
If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx
Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx