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

1. Find an equation for the set of points that are equidistant from (2;1;0) and

ID: 3373354 • Letter: 1

Question

1. Find an equation for the set of points that are equidistant from (2;1;0) and (0; 2;6). (Hint. What

kind of shape is this?)


2. Your car's speedometer reads a steady 35 miles per hour. Could you be accelerating?


3. If a particle moves counterclockwise along the ellipse 9x^2 + y^ 2 = 1 and y(t) = sin(2t), nd x(t).


4. True or false: indicate whether the statement is true or false and give a brief explanation.


(a) A particle moving according to r(t) = h3 + 2 cos(t); 1 + sin(t)i moves with constant speed.


(b) The acceleration of a particle moving according to r(t) = h3 + 2 cos(t); 1 + sin(t)i is always

toward the center of the ellipse.

Explanation / Answer

1) y=mx (line)
2) No
3) True

(4)
(a) False
(b) True