In 55-58, find the length of each side of the triangle determined by the three points PI , P2 , and P3 . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.) p] = (-1, 4); P2 = (6, 2); P3 = (4, -5)

L33 - 12 Now You Try It (NYTI): ▯ x 1. Let f(x)= ln(t)dt. Find each interval on which f is concave up. 1 t 4 2. Find the area bounded between the x-axis and the graph of f(x)=2 − x on the interval [0,4]. Sketch the region, and note that the curve takes on negative values. n ▯ ▯ ▯ 4i 2 3. Expressn→∞m 2+ 2 as a deﬁnite integral, and use it to evaluate i=1 n n the limit.