Recent content by PuddySporty

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    Finding limits using Squeeze theorem

    Thank you!
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    Finding limits using Squeeze theorem

    Homework Statement Find the limit as x approaches zero of (2sin5x)/x Homework Equations The limit as x approaches zero of (sinax/x) = a and there's the scalar multiple rule. The Attempt at a Solution Is the answer then 10?
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    Find the derivative of f(x) = (x-1)^(2/3) using the definition and then rules.

    Homework Statement f(x) = (x-1) 2/3 We were asked to find the derivative using the alternate limit form when c = 1 and then I was then I was trying to find the derivative using the multiplication rule (u dv + v du). Homework Equations f'(u*v) = u dv + v du f'(xn) = nxn-1 The...
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    Polar Coordinate Symmetry with Double Angles

    Okay, I got it! Thanks for your help!
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    Polar Coordinate Symmetry with Double Angles

    So, since it's (2pi - 2Θ) it becomes r² = 25 sin (-2Θ) which is r² = -25 sin 2Θ because is negative is quadrants III and IV where 2Θ would have to be?
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    Polar Coordinate Symmetry with Double Angles

    Homework Statement Given the equation r²=25sin2Θ Asked to find symmetry with respect to line Θ = pi/2 Homework Equations w.r.t. Θ = pi/2: (r,Θ) - (r, pi-Θ) and (r, Θ) - (-r,-Θ) The Attempt at a Solution For the first case, I plugged in (pi-Θ) for Θ, but I'm confused about what to do...