1. Determine the center and radius of the following circle r2 y 2. Find the dist

Question

1. Determine the center and radius of the following circle r2 y 2. Find the distance between A(-1,2) and B(3,1). 3. (True/ False) A straight line with slope 3 and y-intercept -2 goes through C(1,1). 4. Find the domain of f, g 5. Find each limit, sin(2r) lim lim z- -2 (r 1)2 3 2are 6. Find y and simplify completely 7. Determine an equation of the tangent line to the curve r sin(2T) at 8. Determine 1 Jo 2 ez 1 I 9. Consider the polar coordinate equation given by r 5 sin(6). Write the corresponding equation, in rectangular coordinates. 10. Bonus. Let h (r y) h(r) h (y) for any r, y E R. If h(5) 2, h' (0) 3, find (5).

Explanation / Answer

x^2+y^2-5x+6y=0.75

(x^2-5x+6.25)+(y^2+6y+9)=0.75+9+6.25

(x-5/2)^2+(y-3)^2=4^2

Radius 4

centre (5/2,-3)

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