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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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logic Idempotent law show x=xVx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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2nd way: integral ∫ log √x(x^n) dx
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lim x/e^x? as x→∞
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2nd/3ways: trig integral ∫sec(x) dx
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
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JHU: sq root integral ∫e^√x dx
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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?
doneScreen Recording 2024-05-18 at 10.25.20 PM
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.
Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub
Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx
Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx
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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
NYU: compute integral ∫√(1+ √x) dx
prob stat: 1st/2 parts. One sample has a mean of M=6 &