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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Review: Linear form, Quadratic form & Bilinear form
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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GPT4: A tweet snippet from Michal Kosinski
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exp integral e^x (f(x) + f'(x)) dx
Screen Recording 2024-05-05 at 11.29.37 PM
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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.
Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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trig integral a) ∫csc^2(x) dx
2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70
2 ways: Show logb^n(a)=1/n logb(a)
exp log derivative Know the differences ...
prob stat: A candidate obtained the following results in her math examination:
Lamar U: Derivatives of Exponential & Log Functions Practice Problems.