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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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2nd way: derivative (x^x)^x
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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prob stat: One sample of n=4 scores has a mean of M=10, &
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2 ways: derivative (ax+b)^n
A bag contains 5 red balls & 3 green balls. A ball is selected at random &
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exp integral ∫a^x/b^x dx
AP Calculus 2nd way: integral ∫(ax^2+bx+c)/(ax+c) dx
Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
JEE Main integral x^2/(a+bx)^2 dx
4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
prob stat: 1st/2 parts. One sample has a mean of M=6 &
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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Median [special weighted mean]
3rd/3 parts: Growing patterns
prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
2nd way: derivative x^n w.r.t. n^x
What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8
Derivative d(x^(arc sin(x))/d(arc sin(x))