2. The function k is defined on the closed interval (-4, 3). The graph of k consists of two line segments and semicircle, as shown above. Let h be the function defined by h(x) =
I
*) =
k(t) dt.
(a) Find the value of x in the closed interval (-4,1) at which h attains its maximum value. Justify.
3. Consider the curve given by the equation 2(x + y) = 5 sin y. For all points on the curve in the interval
dy 1
-7 dx