Section 3.6: (page 211) Numbers 6-13 all Section 3.8: (page 227) Numbers 1-13 odd

textbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Dashboard 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 211 / 272 69% + Chapter 3 The Integral Business Calculus 211 3.6 Exercises In problems 1 - 4, use the values in the table to estimate the areas. f (x g(x) h(x) 209 3 6 2 N W A a a un 5 6 1. Estimate the area between fand 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 5. Estimate the area of the island shown - 340 feet_ _- 410 feet - 220 feet 240 feet_ In problems 6 - 15, find the area between the graphs of f 210 and g for x in the given interval. Remember to draw the graph! - 100 6 6. f(x) =x2 + 3, g(x) = 1 and -1 Sx$2. 7. f( x) = x2+3, g(x) = 1 + x and OSx53. 8 . f( x ) = x2 , g(x ) = x and 0Sx52. 9 . f ( x ) = ( x -1)2 , g(x) = x + 1 and OSx53. 10. f(x) = > , g(x) =x and 1 SxSe. 1 1. f(x) = Vx , g(x) =x and 0 Sx 54. 217 12 . f ( x ) = 4 -x 2, g(x) = x + 2 and OSx52. 13 . f (x ) = et , g(x) = x and OSx52 O 14 . f(x ) = 3 , g(x) = V/1 -x2 and OSx51. 15 . f(x ) = 2, g(x) = V/4-x2 and -25x $2. I'M 212textbroker.com X -Final Exam X X Canvas LMS X MATH140-12141 (0 X BusCalc.pdf X *Dashboard X Meeting 19 - Chapt 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 228 / 272 69% + 3.8 Exercises 225 In problems 1 -4, check that the function y is a solution of the given differential equation. 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-* . 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= 2x5 - 3x + 3. 5. y' = 6x + 4 and y(2) =3. y=3x2+ 4x - 17. 7. y' = by and y(0) =7. y= 75x 8. y' =-2y and y(0) =3. y= 3e-2x 227 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. 11. 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' = 2x 14. y' = x/y 15. xy' = y + 3 228 16 . y' = x y + 3y 17. y' = 4y 18. y' = 5(2 -y) In problems 19-22, solve the initial value separable differential equations. 19. y' = 2xy for y(0) = 3, y(0) = 5, and y(1) = 2. 20. y' = x/y for y(0) = 3, y(0) = 5, and y(1) = 2. 21. y' = 3y for y(0) = 4, y(0) = 7, and y(1) = 3. 22. y' =-2y for y(0) = 4, y(0) = 7, and y(1) = 3. 23. The rate of growth of a population P(t) which starts with 3,000 people and increases by 4% per year is P '(t) = 0.0392-P(t). Solve the differential equation and use the solution to estimate the population