The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Pantun Melayu [Sorong papan tarik papan]

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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Pantun Melayu [Buah cempedak di luar pagar]

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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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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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#10 2023 MIT Integration Bee Qualifying Exam

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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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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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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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2 ways: integral ∫(a^2-x^2) dx

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"Hurry up, I'm in a hurry"

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exp sq root integral ∫(√√ϕ)^x/(π^x) dx

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2nd way: trig integral ∫(sin^6(x)+cos^6(x))/(sin^2(x) cos^2(x)) dx

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trig integral ∫x^2 cos(x^3) e^sin(x^3) 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.

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