John is ordering cake for a birthday party. The total cost is calculated using the function c(g) = 2.25g + 40. Where g represents the number of guests. If the maximum number of guests attending is 85, what is the range of the situation?

Abee with velocity vector r'(t) starts out at (5, −5, −3) at t = 0 and flies around for 5 seconds. where is the bee located at time t = 5 if 5 0 r'(u)du = 0?

Which linear equations have an infinite number of solutions? check all that apply.  (x  –  3/7)  =  2/7(3/2x  –  9/14)8(x  +  2)  =  5x  –  1412.3x  –  18  =  3(–6  +  4.1x)(6x  +  10)  =  7(x  –  2)4.2x  –  3.5  =  2.1 (5x  +  8)

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