Math_190 Exam 5 2009-4 Fall - Solution.pdf

Math_190 Exam 5 2009-4 Fall - Solution.pdf - C Math 190...

This preview shows page 1 - 6 out of 6 pages.

Image of page 1

Subscribe to view the full document.

Image of page 2
Image of page 3

Subscribe to view the full document.

Image of page 4
Image of page 5

Subscribe to view the full document.

Image of page 6

Unformatted text preview: C \ Math 190 --- Fall 2009 --- Exam 5 Name: K L / 1.Find f given f"(x)=24x2+2x+10, f(1)%5,and f'(1)=—3. (4.9-37) ¢‘(X): gx'B‘qu/plox f-C ’3:‘F’(l)1w+c i'ixl: 8x31vxLH0x Ab / 2. Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are show in the table. Find lower and upper estimates for the total amount of oil that leaked out. (5.1-13) 3. Use the form of the definition of the integral given in Theorem 4 (Le. the basic definition of an integral) to evaluate the integral: * Vi _ 3(x2+2x—5)dx.(5.2-22) 10M 2/ Hm) A X 144200 "" . . -3 , 153, V\ ’7’ (S; r r; W :[oe +20%) 5%) piano ‘1/ é/WL/ 6/ :4) v1 "1 l ‘»S f [vi-fl"? rat/1’11"" (M :Wpoizvf/[f l4/ M / y / 14»; JL Q7~v (36’ ~£ : ~ ZC ( +‘~T;( M "42:; 13;?! h“ (0 H a __, ’“ ’5 ‘ ’— ——- : ZEZSLL—i'ij-TSL’214) Mafia :tl v‘ ‘3’ [A] M _ 41%;“qu g’JZ" 6’) ”have V\ V" M \:I , ‘ fl(u ("+l>2”*l)) Ei<£%fl) *" é) z: 00 “'3 b “1’ y\ ‘1, a an (‘1n3+3n”"+“) 1".“ M) — 0) 3 ~ (rm-5m m w naOO . , (a, (1+1+7\\;>+/8(1+Jfi>’(7> .2wa 1. we” : “1+ 13‘ (a :- 4. Express the integral6 dx as a limit of Riemann sums. Do not evaluate the integral. (5.2-29) 2xS1+x . 7‘ AX:£:.7:——ti X.\‘:2,’l’le:2+/y—;/‘ M M ' 9 x—l 5. Evaluate the integral ——dx. (5.3-29) I Vx csfmwil ”MW xii. 3 '$ ; %—2[ )’(Z:éé> ; [8”Q+ ”EL, § 6. Evaluate the integral J‘sec2 tdt. (5.3-31) ° 1? ”1,7 l? -zWE'WMO 4’0 1m :Zlf/Vlf 7. The acceleration function, measured in m/sz, is a(t) =t+4, the initial velocity is v(0) = 5, and the time interval is 0 S t S 10 for a particle moving along a straight line. Find (a) the velocity at time t and (b) the distance traveled during the given time interval. (5.4-59) UH):J7:L+L/t+c 5=V{0):C Cl % 8. Find the general indefinite integral: “6 - csc6cot6)d6 . (54—15) L :fiQ—rmg 1LC* 9. Evaluate the indefinite integral: fem“ sec2 xdx. (5.5-29) / Mzfiax (“CM‘VXM // , 1 1o. Evaluate the definite integral: [x2 (1 + 2x3)5dx. (5.5-53) i 1 Q8 3 mu \ (o ’5 J; :L/Il’], 3‘9 “tau—L ” #1 ”My \ :;0+%,’3i9 J, e20t%;“1e ' 2, :20” ...
View Full Document

  • Spring '12
  • JONES

{[ snackBarMessage ]}

Get FREE access by uploading your study materials

Upload your study materials now and get free access to over 25 million documents.

Upload now for FREE access Or pay now for instant access
Christopher Reinemann
"Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

Ask a question for free

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern