MAC 2234 Midterm: Exam-2-Review-MAC-2234

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This review may not cover all the material that will be on the exam. Exam 2 can cover any material from the lectures, homework, quizzes, etc. Solutions to these problems will not be released. Compute lim h 0 f (x + h, y) f (x, y) h and lim h 0 f (x, y + h) f (x, y) h. What is the geometric interpretation of these limits: let f (x, y) = x3 ln(y) + 4y2ex. Find the indicated function or value. (a) fy(x, y) (b) fx(x, y) (c) fyy(x, y) (d) fxx(x, y) (e) fxy(x, y) (f) fyy( 1, 1) (g) fyx( 1, 1) (h) fxx( 1, 1) 2: find the critical points of the function, and then use the second derivative test to classify the nature of each point. If the revenue r and cost c for the year (in millions of dollars) are.