Section 3.6: (page 211) Numbers 6-13 all Section 3.8: (page 228) Numbers 1-13 odd

textbroker.com X -out- Final Exam X Canvas LMS x Untitled document - Google [ X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks E BusCalc.pdf 211 / 272 99% 3.6 Exercises In problems 1 - 4, use the values in the table to estimate the areas. x f (x) 8(x) h(x) 0 2 1 6 211 aUA W N - N N W A O DAU 1. Estimate the area between f and g, between x = 0 and x = 4. 2. Estimate the area between g and h, between x = 0 and x = 6. 3. Estimate the area between fand h, between x = 0 and x = 4. 4. Estimate the area between fand g, between x = 0 and x = 6. Island 212 5. Estimate the area of the island shown 220 feet 340 feet_ 240 feet_ 410 feet In problems 6 - 15, find the area between the graphs of f and g for x in the given interval. Remember to draw the graph! 100 f 6. f(x) = x2 + 3, g(x) =1 and -1 5x$2. 7. f ( x ) = x2 + 3, g(x) = 1 + x and 05x53. 213 8. f ( x ) = x , g(x ) = x and 0Sx= 2. 9 . f( x ) = ( x - 1 ) 2 , g ( x ) = x + 1 and 05x5 3 . 10. f(x) = x , g(x) =x and 1ExSe. 1 1. f(x) = Vx , g(x) = x and 0 Sx54. 12 . f ( x ) = 4 - x 2 , g (x ) = x + 2 and OSx52. 214 13. f(x) = e, g(x) = x and 0 Ex-2.textbroker.com X -out- Final Exam x Canvas LMS X Untitled document - Google [ X BusCalc.pdf X *Course Hero X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks BusCalc.pdf 228 / 272 94% 3.8 Exercises In problems 1 -4, check that the function y is a solution of the given differential equation. 225 1. y' + 3y = 6. y=e-3X +2. 2. y' - 2y = 8. y=e2X_4. 3. y' =-x/y. y= V7-x2 . 4. y' =x -y. y=x-1+ 2e-X 226 Chapter 3 The Integral Business Calculus 228 In problems 5 - 8 check that the function y is a solution of the given initial value problem. 5. y' = 6x2- 3 and y(1) =2. y=2x3 - 3x + 3. 227 6. y' = 6x + 4 and y(2) =3. y=3x2+ 4x - 17. 7. y' = 5y and y(0) = 7. y = 75x 8. y' =-2y and y(0) =3. y=3e-2x In problems 9- 12, a family of solutions of a differential equation is given. Find the value of the constant C so the solution satisfies the initial value condition 9. y' = 2x and y(3) = 7. y=x2+ C. 10. y' = 3x2- 5 and y(1) = 2. y=x3 - 5x + C. 228 1 1. y' = 3y and y(0) = 5. y= Ce3x. 11. y' = -2y and y(0) = 3. y = Ce-2x. In problems 13 - 18, solve the differential equation. (Assume that x and y are restricted so that division by zero does not occur.) 13. y' = 2xy 14. y' = x/y 15. xy' = y + 3