MATH138 Lecture 15: MATH 138 Lecture 15: Applications of Differential Equations: Mixing, Population

Find the Taylor series generated by f at x- a. f(x)=x3 + 6x2-3x-8, a = 5 OA. (x-5)3+21(x-5)2+138(x-5)+252 O B. (x-5)3+21(x-5)2+132(x-5)+252 O C. (x-5)3-21(x-5)2+138(x-5)-252 O D. (x-5)3-21(x-5)2-132(x-5)-252

Suppose f(x, y) =7xy_5xy Find ax and evaluate it at the point (2,6). a) 23 b) 18 c) -2 d) 138 e) 108 f) None of the above.

Find the marginal average cost function if cost and revenue are given by C(x)-138-62x and R(x)= 4x-001x2 The marginal average cost function is C'(x)=