2/4 0 X 471 ICH/4 4 HY F 2. The equation 4x2-3xy+4y2 = 15 represents an ellipse. a. Determine - at x = 3.75, y = 0 [4 - A] b. Determine the equation of the tangent line at x = 3.75 [2 - K] c. Determine the two points on the ellipse at which the tangent is horizontal. [4- A] 3. A particle is moving along the x-axis according to s(t) = 2 cos(2t) + 3 sin(2t) a. Determine the velocity function of the particle in terms of t [2 - K] b. Determine the acceleration function of the particle in terms of t [2- K] c. How fast is the particle traveling at t = It [1 - K] d. What is the acceleration of the particle at t = It [1 - A] e. What is the average velocity in the first 2nt seconds [2 - K] f. When is the particle at rest from 0 S t S 2n? [2- A]