KOC University Math 102 Midterm 2 Exam, April 2012, Exams of Calculus

A math exam from koc university for the course math 102, held on april 24, 2012. The exam lasts 75 minutes and includes various calculus problems. Topics covered include limits, logarithmic functions, and finding extreme values and intercepts.

Typology: Exams

2012/2013

Uploaded on 03/21/2013

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KOC¸ UNIVERSITY
MATH 102
MIDTERM 2 April 24, 2012
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
to receive full credit.
Print (use CAPITAL LETTERS) and sign your name. GOOD LUCK!
SURNAME, Name: ————————————————–
Student ID no: —————————————————–
Signature: ————————————————————
(Check One):
(Selda uk¸cif¸ci MWF 9:30-10:20) : —–
(Selda uk¸cif¸ci MWF 11:30-12:20) : —–
(S¸ule Yazıcı MWF 10:30-11:20) : —–
(Ali okt¨urk MWF 12:30-13:20) : —–
(Ali okt¨urk MWF 15:30-16:20) : —–
PROBLEM 1 2 3 4 5 TOTAL
POINTS 25 34 15 15 15 104
SCORE
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KOC¸ UNIVERSITY

MATH 102

MIDTERM 2 April 24, 2012

Duration of Exam: 75 minutes

INSTRUCTIONS:

  • No calculators may be used on the test.
  • No books, no notes, no questions, and no talking allowed.
  • You must always explain your answers and SHOW YOUR WORK to receive full credit.
  • Print (use CAPITAL LETTERS) and sign your name. GOOD LUCK!

SURNAME, Name: ————————————————–

Student ID no: —————————————————–

Signature: ————————————————————

(Check One):

(Selda K¨u¸c¨uk¸cif¸ci – MWF 9:30-10:20) : —– (Selda K¨u¸c¨uk¸cif¸ci – MWF 11:30-12:20) : —– (S¸ule Yazıcı – MWF 10:30-11:20) : —– (Ali G¨okt¨urk – MWF 12:30-13:20) : —– (Ali G¨okt¨urk – MWF 15:30-16:20) : —–

PROBLEM 1 2 3 4 5 TOTAL

POINTS 25 34 15 15 15 104

SCORE

Problem 1. (25 pts) Calculate the following limits.

(a) lim x→ 0

sin x

x

(b) lim x→∞

x

)x

(c) lim x→ 0

10 x^ − ex x − 1

(e) (9 pts) Find the inflection points and determine the intervals where the graph of the function f is concave up and concave down.

(f) (10 pts) Sketch the graph of the function f.

Problem 3. (15 pts) Find the absolute extremum of the function f (x) = 2x^3 − 9 x^2 + 1 on [-1,1].

Problem 4. (15 pts) The total cost of producing x garbage disposals per day is given by the function C(x) = 4000 + 10x + 0. 1 x^2

Find the minimum average cost.