MATH 140 Quiz 5
Professor: Dr. C. Libis
INSTRUCTIONS The quiz is worth 100 points. There are five problems (each worth 20 points).
This quiz is open book and open notes. This means you may refer to your textbook, notes,
and online classroom materials, but you may not consult anyone. You may take as much
time as you wish, provided you turn in your quiz no later than the due date posted in our
syllabus.
You must show all work in order to receive full credit. If you do not show your work,
you may earn only partial or no credit at the discretion of the professor.
Please carefully review How to submit quizzes and exams in our Syllabus.
Emailed quizzes and exams will not be accepted (they crash my email system).
Thank you for your understanding. Best of luck! Section 4.0 #2 Calculate the area of the trapezoidal region in Fig. 21 by breaking it into a triangle and a
rectangle. Section 4.1 #42
(i)
list the subintervals determined by the partition P (ii) find the values of xi n (iii) find the mesh of P (iv) calculate x i i 1 Section 4.2 #18 Fig. 15 shows the graph of h and the areas of several regions. Evaluate:
(a) 1 6 h( x )dx (b) h( x )dx h( x )dx (e) 2
4 (d) 2 4
4 Section 4.3 #10, 18 h( x ) dx 2 6 (c) h( x )dx 2 Use the graph of f in Fig. 13 to determine the values of the definite integrals. (The bold numbers
represent the area of each region.)
3 (a) 5 f ( x )dx
5 Section 4.4 (b) f ( x ) dx
3 #18 Use the Antiderivatives and Definite Integrals Theorem to evaluate the integrals.
2 (a) 2
12 3x dx 2 (b) 2 2 2
12 3x dx (c) 12 0 1 3 x 2 dx

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