Answer the multiple choice questions. Please explain your answer in short sentences only.

1.

\f3 5 Suppose f is continuous everywhere, and ] f(:c) d2: = 1 and f x) dz = 2. 1 1 3 Find] f(x)d:c. 5 O -1 or 1. depending on fix) 0 -3 0 None of the given choices 0 Cannot be determined from the given conditions. 03 Suppose that f is continuous on [a,b]. Let y = / f(t) dt. Which of the following a gives the slope of the tangent line to y at a = c E (a, b)? Of(c) of(z) da Ic=C Of(c) O None of the given choices O UndefinedIf the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is decreasing at a rate of 3 inches per minute. which of the following must be true about the area A of the triangle? 0 A is always decreasing 0 None of the given choices 0 A is always increasing 0 A is decreasing only when b