dy 3. (A) Find for the following. dx (a) x = 5 sin 6t + 4 and y = 5 cos 6t + 3 (use parametric differentiation) (b) a°y* + 3 tan y = y° + 6x (use implicit differentiation) (B) Find the equation of the tangent line to the graph of a*y? + 5xy = 456 at the point (-4, 6). 4. (A) The position of a particle travelling along a horizontal line in t seconds is s(t) = t³ – 21t2 + 144t – 5 meters. %3D (a) Determine the time intervals when the object is slowing down or speeding up. (b) | Determine the acceleration of the particle when the velocity is 0. (B) The radius of a sphere decreases at the rate of 5 cm/sec. (a) Find the rate at which the volume decreases when the radius is 7 ст.

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