lOMoARcPSD 29777598 10Aexam 1 Calculus exam 10Aexam 1 Calculus exam Calculus I University of California San Diego Calculus I University of California San Diego Studocu is not sponsored or endorsed by any college or university Studocu is not sponsored or endorsed by any college or university Downloaded by Karthik S ksrin01 gmail com lOMoARcPSD 29777598 Name TA PID Sec No Sec Time Math 10A Midterm Exam 1 October 19 2010 Turn o and put away your cell phone You may use one page of notes but no books or other assistance during this exam You may leave answers in symbolic form for example 42 or ln 6 Read each question carefully and answer each question completely Show all of your work no credit will be given for unsupported answers Write your solutions clearly and legibly no credit will be given for illegible solutions If any question is not clear ask for clari cation Points Score 1 2 3 4 6 9 9 6 30 Downloaded by Karthik S ksrin01 gmail com lOMoARcPSD 29777598 1 6 points Use the graph below to answer the following questions Assume the entire graph is shown y y f x 1 2 x 3 5 4 3 2 1 1 2 a What is the domain of f b What is the range of f c Find f 2 d Find f 1 4 e Find lim f x or explain why the limit does not exist x 2 f Find lim f x or explain why the limit does not exist x 2 Downloaded by Karthik S ksrin01 gmail com lOMoARcPSD 29777598 2 9 points Let f x 4 cos cid 16 x 6 cid 17 and let g x 12e3x a What is the period of f b What is the range of f c Find a formula for f g x d Find a formula for g f x e The function g has an inverse Find a formula for g 1 Downloaded by Karthik S ksrin01 gmail com lOMoARcPSD 29777598 3 9 points Let f x x2 3x3 1 6x2 a Find the equation s of the vertical asymptote s of f Please show your work b Find the equation s of the horizontal asymptote s of f Please show your work c Find lim f x or explain why the limit does not exist Please show your work x 1 Downloaded by Karthik S ksrin01 gmail com lOMoARcPSD 29777598 4 6 points For each part nd a formula for the indicated quantity a The number of members in a club increases at a constant rate Every four weeks there are 20 new members The club started with nine members Find a formula for the number of members in the club x weeks after the club started b Radioactive gallium 67 decays by 1 5 each hour Suppose that you start with 200 grams of gallium 67 Find a formula for the amount of gallium 67 remaining after t hours Downloaded by Karthik S ksrin01 gmail com