Sketch the region bounded by the curves, and visually estimate the location of the centroid. (do this on paper. your instructor may ask you to turn in this work.) then find the exact coordinates of the centroid. y = e^x y = 0, x = 0, x = 2

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Factor the monomial completely 42a3b3

Evaluate the expression for the given value of the variable 2×(c2-5) for c=4