MATH 1152Q: EXAM #1
SEPTEMBER 25, 2013
DAMIR D. DZHFAROV
Write legibly and show all your work. Calculators, books, cell phones, and other
outside materials are not permitted for use on this test. And if you could go ahead
and not cheat thatd be greeeeeeaa
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MATH 1071: Calculus For Business and Economics
Chapter 5 Section 6
Applications of Optimization and Modeling
1. What are the dimensions of the rectangle ﬁeld of 20,000 square fee
5.6
Optimization and Modeling
MATH 1071Q, Fall 2016, Packet 5.6
Example 5.6.1 (Farmers and Fences). A farmer has 2400 feet of fencing and wants to fence off
a rectangular field that borders a straight river. he needs no fence along the river. What are the
6.1
Antiderivatives
MATH 1071Q, Fall 2016, Packet 6.1
Example 6.1.1. Given a function f (x) = x2 , can you find a function F (x) whose derivative is x2 ?
Definition 6.1.2. If F 0 (x) = f (x), then F (x) is called the antiderivative of f (x).
Remark 6.1.3.
5.5
Absolute Extrema
MATH 1071Q, Fall 2016, Packet 5.5
Definition 5.5.1 (Absolute Extrema). Let c be a number in an interval I in the domain
of the function f . Then f (c) is the
absolute maximum value of f on I if f (c) f (x) for all x in I
absolute mi
’ if 30 people travel in a. group.
2. A bus company charges ‘51
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If for each person above 3
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MATH 1071: Calculus for Business and Economics
Chapter 1 Section 5
Applications of Logaritth
1. Suppose an account has an annual yield of 7% compounded weekly. How long will it take
before the account doubles?
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Sections 4.1, 4.2, 4.3 — Taking Derivatives
Compute the derivative of the given function.
{/(X)
HZ. f(3: =2m2—6x—18
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)
52+1
= m (Hint: Distribute the denominator ﬁrst, then take the derivative.)
3. f(:z:
ﬁx): X”;
I _ J,
3) t (x) - l .' X1
MATH 1071
Exam 1 Review
Spring 2014
Disclaimer: You are expected to know the topics, concepts and problems discussed in class,
and assigned as homework and quizzes, and be able to solve problems derived from the ideas
you learned. This review sheet can no
SPRING 2014 MATH 1152Q SECTION 2 HONORS CALCULUS II
INFORMATION AND SYLLABUS
Instructor: Alan Parry
Email: [email protected]
Phone: 860-486-2362
Oce: MSB 233
Oce Hours: MWF 10:40am - 11:10am and 12:15pm - 1:15pm
Classroom: MSB 403
Class Time: MWF 9:20a
SPRING 2014 MATH 1152Q SECTION 2 HOMEWORK WORKSHEET 6
Name:
Due Date: 28 March 2014
1. Sketch a direction eld for the dierential equation. Then use it to sketch three solutions
curves.
y = x y + 1.
2. Solve the dierential equations.
(a) (y 2 + xy 2 )y = 1
SPRING 2014 MATH 1152Q SECTION 2 HOMEWORK WORKSHEET 5
Name:
Due Date: 12 March 2014
1. If revenue ows into a company at a rate of
f (t) = 9000 1 + 2t,
where t is measured in years and f (t) is measured in dollars per year, nd the total revenue
obtained in