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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
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2 ways: sq root derivative 1/(√√(1/√x))
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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Find the expected value & the variance of a geometric r.v. X
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UC Davis 1st way: sin(x)/(1+sin(x() dx
Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)
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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t
#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx
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Given that X Geo(p), find P(X=k) if
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
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GPT4: A tweet snippet from Michal Kosinski
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#17 2020 MIT Integration Bee Quali Exam:
2nd way: lim ((1+h)^3-1)/x? as h →0
#24 2010 MIT Integration Bee Qualifying Exam
1st/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction
prob stat: To obtain Grade A, Ben must achieve an average of at least 70 in 5 tests.
2 ways: derivative a^f(g(x))
3rd way: trig log integral ∫(a+ln(sin(x))/tan(x) dx