Let π1:[0, β) β β, π2:[0, β) β β, π:[0, β) β β and π:[0, β) β β be functions such that π(0) = π(0) =
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Let π = {(π₯, π¦) β β Γ β βΆ π₯2 + π¦2 β€ π2},where π 0. Consider the geometric progression ππ =12πβ1,

Let π1 = {(π,π, π) βΆ π,π, π β {1,2, β¦ ,10}},π2 = {(π,π) βΆ 1 β€ π π + 2 β€ 10, π,π β {1,2, β¦ , 10}},

Let z1, z2 & z3 be none-zero complex number satisfying z^2 =izΜ, what is z1+z2+z3 equal to

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Let π1: (0, β) β β and π2: (0, β) β β be defined by π1(π₯) = β«β(π‘ β π)π ππ‘, π₯ 021π=1π₯0and π2(π₯) =

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![For any real number π₯, let [π₯] denote the largest integer less than or equal to π₯. If πΌ = β« [βπ₯10+π₯1](https://i.ytimg.com/vi/O9J2D_t2Rus/hqdefault.jpg?sqp=-oaymwEnCNACELwBSFryq4qpAxkIARUAAAAAGAElAADIQj0AgKJDeAG4AvMY&rs=AOn4CLCB4QSJiO3_ZEWPTQaQoagQWHN2nQ&usqp=CCY)
For any real number π₯, let [π₯] denote the largest integer less than or equal to π₯. If πΌ = β« [βπ₯10+π₯1

For any real numbers πΌ and π½, let π¦πΌ,π½(π₯), π₯ β β, be the solution of the differential equation ππ¦/ππ₯

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