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Gajanan B.

Tutor for AP Calculus, IB DP HL SL Maths, SAT Maths since 2004

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SAT II Mathematics Level 1

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Question:

A sector has radius 12 cm and angle 3 radians. Find its: a) arc length

Gajanan B.

Answer:

Arc length = theta* = 3*12 = 36 cm

Calculus

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Question:

Find dy/dx if y = (x^2-2x)^2

Gajanan B.

Answer:

y = (x^2-2x)^2 Let u= x^2-2x then y= u^4 Now dy/dx= dy/du*du/dx (chain rule) =4u63(2x-2) =4(x^2-2x)^3(2x-2)

Algebra

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Question:

Factor Polynomial 5x^2-13x+6

Gajanan B.

Answer:

5x^2-13x+6 = 5x^2-10x-3x+6 Substitute -10x-3x for -13x =(5x^2-10x)+ (-3x+6) = 5x(x-2)-3(x-2) = (5x-3)(x-2)

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