Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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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: tautology (¬p→q)∧(¬p→¬q) →p

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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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.

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n4n4 bnb 3-3

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2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx

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U Arizona: For each integral decide which of the following is needed:

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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2 ways: integral ∫ 5x dx

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Lamar U: trig integral ∫sin(13z) sin(4z) dz

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2nd way: exp integral ∫x^x^2 x(2ln(x)+1) dx

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2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec(x)/ln(sec(x)+tan(x)) dx

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