AB 1.
(b)(c)
(d)AB/BC 2.
(b)Part A
(a) Since x^2 y − 3y^2 = 48,At (5,3), so the equation of the tangent line is, so y = 3.3.
Horizontal tangent lines have . This could happen only
if
2 xy = 0, which means that x = 0 or y = 0.
If x = 0, 0y – 3y^2 = 48, which has no real solutions.
If y = 0, x^2 · 0 – 3 · 0^2 = 48, which is impossible. Therefore, there are no
horizontal tangents.(a) The average value of a function is the integral across the given
interval divided by the interval width. Here . Estimate the value of the integral using
trapezoid rule T with values from the table: