MAT 117
MAC 2311/SP07
Exam1 Review/Sample Exercises(SE)
SE1. Find the limit(if it exists).
[pic]
iv) [pic][pic] v) [pic][pic]
SE2. (Drug Concentration) The concentration of a drug in a patient’s bloodstream [pic] hours after it was injected is given by [pic] Find and interpret [pic]
SE3. Consider [pic]. Where is [pic]not continuous and explain why? Sketch the graph of [pic].
SE4. Find the derivative of the following function using the limit process:
[pic]
SE5. Find the derivatives using Chain Rule:
(i) [pic] (ii) [pic]
SE6. Find the derivatives [pic]of each of the following function.
a. [pic] c. [pic] d. [pic]
e. [pic]. f. [pic]
SE7. Applications to life sciences/others:
PAGE 160: EX. 32(Pregnancy)
PAGE 161: EX. 37(Production)
PAGE 189: EX. 48(Temperature)
PAGE 231: EX. 50(Blood Sugar Level)
PAGE 222: EX. 38(Bacteria Population)
PAGE 232: EX. 54(Oil Pollution)
PAGE 239: EX. 32(Population Growth)
Read example from all sections, hw, quizzes, and class notes.
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