Basic Probability Summer 2011
NYU Courant Institute
Midterm Exam with Solutions
1. Suppose that an airplane engine will fail, when in ight, with probability 1 p independently from engine to engine; suppose that the airplane will make a successful ight if
Calculus II MATH 155
Spring 2012
4.0 Hours, 4.0 Credits
Department of Mathematics and Statistics
Hunter College
Instructor: Professor Lev Shneerson, Department of Mathematics and
Statistics. O ce Room: 903 HE, phone (212) 650-3633.
Email: [email protected]
Math 155 Section 02
Calculus II
Exam 1Sample Only
Name: _, _
Last (print)
SSN: _
First (print)
In this exam, all integrals are indefinite integrals, so dont forget to include + C in your final answers.
Otherwise, you might get pt deduction for each + C yo
Math 155 Section 02
Calculus II
Exam 2Sample Only
I. Simpson Rule
b
1. A calculator is programmed to evaluate (or approximate) a definite integral a f ( x)dx using Simpsons
rule with an error of no more than 1 millionth, with the following instructions:
Calculus II MATH 155
Summer 2012
4.0 Hours, 4.0 Credits
Department of Mathematics and Statistics
Hunter College
Course Description: This is the second semester of a calculus sequence
which is an introduction to dierential and integral calculus, suitable f
Calculus II MATH 155
Summer 2012
4.0 Hours, 4.0 Credits
Department of Mathematics and Statistics
Hunter College
Course Description: This is the second semester of a calculus sequence
which is an introduction to dierential and integral calculus, suitable f
Spring 2012
Professor Shneerson
Math 155
Review exercises for the Exam#3 (Sections 11.5, 11.6, 11.8, 11.9,11.10,11.11,10.3,10.4)
Section 11.5 Alternating Series
1:Prove that the series is convergent and nd its sum with an error whose
1
absolute value does
Spring 2012
Professor Shneerson
Math 155
Review exercises for the Exam#2 (Sections 7.8, 8.1, 8.2, 11.1, 11.2.,11.3,11,4)
Section 7.8 Improper Integrals
I. Determine whether each integral is convergent or divergent. Evaluate
those that are convergent.
1
Z
Spring 2012
Professor Shneerson
Math 15
Review exercises for the Exam#1 (Sections 6.2, 6.3, 6.4, 7.1, 7.2, 7.3,
7.4)
Section 6.2
Volumes
1. Find the volume of the solid of revolution that results when the region
p
bounded by the curve y = 2 3 x and the x-
Notes for HW 6:
When theres a strong correlation between x and y (i.e., the coefficient of correlation, r, is
greater than .7), we use the equation of the regression line to predict y for a given x-value.
Otherwise, we use the average of y for any given x
Math 155 Section 02
Calculus II
FinalTake Home (Last Name: AC)
Name: _, _
Last (print)
First (print)
ID: _
(last 4 digits of SSN)
1. Binomial Series [12]
a) Expand (4a b)4. [3]
b) Expand (2 + x)2/3 as a power series. Include the term containing x3 before
Math 155 Section 02
Calculus II
Exam 3Sample
1. If cfw_anis given, list the first 5 terms. If the first 5 first are given, find a formula for cfw_an. For all, a) find
the lim n an, b) tell whether the sequence/series converges or diverges based on lim n a
Calculus II MATH 155
4.0 Hours, 4.0 Credits
Department of Mathematics and Statistics
Hunter College
Instructor: Jorge Flrez
Email: [email protected]
Office hours: Tuesday 6:30pm-7:30pm, room HE924. (By appointment only)
Course Description:
This is the s