Math_190 Exam 5 2009-4 Fall - Solution.pdf

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

• Test Prep
• uvdqunyw
• 6

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

Subscribe to view the full document.

Subscribe to view the full document.

Subscribe to view the full document.

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 ]}

###### "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

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern