MATH 4041 Lecture 11: Critical Points

Consider the scalar-valued function f(x,y)-V8y + 1, and the curve C described by y 2x2 for z E [0, 1]. The value of f(x, y)ds is Select one: a. 332 ○ b. 193 O c. 16 O d. 32 O e. 8 O f. 16/3

A. 1. Using the steps from Page 193, provide a complete analysis and graph of the following function. Your analysis should identify the curvilinear asymptote (also included in your graph) using long division. Note: You will need to use the Rational Root Theorem. 3a2+4 f(x) = 2. Provide a complete analysis and graph of f(x)V9.