(READABLE, NOT CURSIVE) HANDWRITTEN THEN BOX THE FINAL ANSWERS

General Directions: Read each question and direction carefully and WRITE your answers and solutions in any clean sheet of paper or yellow pad. Show STEP BY STEP solution and box your final answer. Non-compliance with the direction will result to a wrong answer. I. For no. 1-4, determine the Critical points on the graph of f and determine if it is a minimum or a maximum. Also, solve for the point of inflection (if it exists.) 1. f (x ) =. 2 (x2 - 4 ) 2. f ( x ) = =+x x 3. f(x) = 3x4-4x3-12x2 4. f (x) = =x5 -zy3 5. If f (x) = ax3 + bx2, determine a and b so that the graph of f will have a point of inflection at (1,2). 6. Find the partial derivative of f = sin(x + 2y + 3z) with respect to x, y, and z respectively. 7. Evaluate and compare Ay and dy using the following information. y = 1 - 2x2 ; x = 0;4x =dx = -0.1 8. Evaluate: lim e -x x 2 -+00 9. Evaluate: lim sin 6x X-0 4x 10 Evaluate: lim - ex-(1-x) 2-+0