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Math3AExam2-Winter09-Practice

# Math3AExam2-Winter09-Practice - f at some number a In each...

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Math 3A Exam 2 (Winter 2009)-Practice Name: Lecture Time: TA’s Name: Discussion Time: DIRECTIONS: Please do not open your exam until you are instructed to do so. Write your name and fill in the blanks corresponding to your lecture time, TA’s name, and discussion time. Show all your work. Answers without explanation will not receive credit. Scratch paper has been provided for your convenience, however it will not be graded. Calculators, notes and formula sheets are not allowed. There are six problems on the exam and each is worth 5 points. Problem Score Problem Score 1 /5 4 /5 2 /5 5 /5 3 /5 6 /5 Total /30 1

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Scratch 2
1. The following limits represent the derivative of some function

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Unformatted text preview: f at some number a . In each case state f and a . (a) lim h → cos( π + h ) + 1 h (b) lim x → 5 2 x-32 x-5 3 Scratch 4 2. Diﬀerentiate the function v = ± √ x + 1 3 √ x ² 2 5 Scratch 6 3. Find the equation of the tangent line to the curve y = sec x at the point ( π/ 3 , 2). 7 Scratch 8 4. (a) Find y for y = sin(sin(sin x )). (b) If h ( x ) = p 4 + 3 f ( x ) , f (1) = 7 and f (1) = 4 , ﬁnd h (1) . 9 Scratch 10 5. Find dy/dx by implicit diﬀerentiation when y 5 + x 2 y 3 = 1 + ye x 2 11 Scratch 12 6. Find the derivative of y = x sin x 13...
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Math3AExam2-Winter09-Practice - f at some number a In each...

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