Exam: 250316RR Introduction to Calculus 1. Compute . A. Doesnt exist B. -1 C. 6 D. 3 2. Compute . A. 1 B. 4 C. 6 D. 9 3. Use a table to find A. 1 B. 2 C. -2 D. -1 4. Which of the following is not a property of limits? 5. A. 30x B. 30 C. 30x D. 10x 6. A. 2x 1 B. x C. 4x 1 D. x 1 7. Estimate from the graph below. A. 2 B. 2.8 C. 2.5 D. 4.3 8. Compute . 9. Compute . A. 0.11 B. 0.1 C. 0.01 D. Doesnt exist 10. Where is discontinuous? 11. Consider the figure shown. What is the value of ? A. 4 B. Doesnt exist C. 3 D. 0 12. Let . Is there a value of a that would make (x) continuous everywhere? A. Yes, a = 0. B. Yes, a = e. C. Yes, a = 1. D. No 13. What is the slope of the tangent line to 14. Compute . A. Doesnt exist B
. 36 C. 1 D. 330 15. The area of a square with side length x is x What is the instantaneous rate of change in area if x is 5 and increasing? A. 5 B. 10 C. 20 D. 25 16. Consider the figure shown here. What is the value of ? A. 0 B. 3 C. Doesnt exist D. 4 17. Compute . 18. Where is y = lnx discontinuous? A. Only at zero B. Only where its undefined, which is for all C. Nowhere. Its a smooth curve on its entire domain. D. Only where its undefined, which is for all x < 0 19. Which of these is a tangent line to y = -x A. y = -8x + 16 B. y = -16x + 72 C. y = -16x + 80 D. y = -8x + 80 at x = 4? 20. The table shown gives some evidence that which mathematical statement is true? 7 7.9 7.9999 8.001 8.1 9 f(x) -6 -6.2 -6.297 -6.303 -6.37 -7 A. B. C. D.