Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Determine the center and radius of the following circle 2. Find the distance

ID: 2862174 • Letter: 1

Question

1. Determine the center and radius of the following circle 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 1) (3 r) g(r) sin 1(1 VT) ln (T 5. Find each limit sin(2r) lim lim T2 2T I, lima 6. Find y and simplify completely 7. Determine an equation of the tangent line to the curve r sin (2T) at T /6 8. Determine 2r dac dac r 1 Jo 2 ez 1 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

x2+y2+5x+6y=0.75

x2+y2+5x+6y-0.75 +2.52-2.52 +32 -32=0

(x+2.5)2+(y+3)2-16=0

(x+2.5)2+(y+3)2=42

center (-2.5 ,-3) and radius = 4