Question 1: Show that x = h + r cos t and y = k +...

Question 1: Show that x = h + r cos t and y = k + r sin t represents the equation of a circle.

Question 4: Find the area above the polar x-axis and enclosed by r = 2−cos(θ).

Question 5: If r = f(θ) is a polar curve, ﬁnd the slope of the tangent line at a point (r₀,θ₀).

Expert Solution

:)

milcah answered 2 years ago

f(r,?) f(x,y) r(cos(?)) = x r(cos(2?)) = ? r(cos(3?)) = x3-3xy2/x2+y2 r(cos(4?)) = ? r(cos(5?)) =...

f(r,?) f(x,y) r(cos(?)) = x r(cos(2?)) = ? r(cos(3?)) = x3-3xy2/x2+y2 r(cos(4?)) = ? r(cos(5?)) = ? Please complete this table. I am having trouble converting functions from polar to cartesian in the three dimensional plane. I understand that x=rcos(?) and y=rsin(?) and r2 = x2 + y2 , but I am having trouble understanding how to apply these functions.

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