Please answer the following questions # 18, 10, 12, 16, 22, 26, 28, 30, 34, 36, 38, 54, 56, 74,

Do exercises, following the same exact format from the examples that are going to be provided.

Questions:

Graph. 1. y = 4x 2. y = 5* 3. y = (0.4)* 4. y = (0.2) * 5. x = 4y 6. x = 5X A population grows exponentially at an average growth rate of r percent each year and an initial population of No. Compute the population at times t = 1, t = 2, and t = 5 given 7. No = 1000, r = 20%. 8. No = 50, r = 5%. 9. No = 286,000,000, r = 2.1%. 10. No = 50,000,000, r = 1.9%. Differentiate. 11. S(x) = 3x 12. f(x) = e2x 13. f(x) = 5e-2x 14. f ( x ) = 4e- 3x 15. f (x) = 3 - ex 16. f(x) = 2 - ex 17. f(x) = -Tex 18. f(x) = -40* 19. f(x) = 2x 20. f(x) = He*x 21. f(x) = x4ex 22. S(x) = xsex 23. f(x) = (x2 + 3x - 9)ex 24. S (x) = (x2 - 2x + 2)ex 25. S(x) = (sin x)ex 26. f(x) = (cos x)ex 27. f(x) = 7. 4 28. f(x) =\f67.-72. For each of Exercises 61-66, graph the function and its first and second derivatives using a grapher. 73. Find the tangent line to the graph of f(x) = ex at the point (0, 1). 74. Find the tangent line to the graph of f(x) = 2e-3x at the point (0, 2).131 5e- 27 U = -2x F' ( x ) 5e- 2 * ( =2) W = - 2 =-10e - 2 x 1 5 ) f ( x ) = 3 - e - x U = - 1 X F' (x ) = 0- e-x (-1) U '= - 1 = e-x 17 ) f ( x ) = - fex 4 = x F ) ( X ) = - fe x U = 1 f" ( x ) = - zex fin ( X ) = - 7ex product Rute 2 1 ) f ( x ) = xlex fig + fg f ' ( x ] = ( x x 3 ent xle x F = X 4 f 1 = 4 x 3 ( = ex - 61 = ex 23 \\ f ( x ) = ( x 2 + 3 x - mmlex product f = x 2 + 3 x - ( f ) = 2 x + 3 Pole G = ex G 1 = ex F' ( x ) = ( 2 x + 3 ) ex + ( x 2 + 3 x - 9 ) ex Always would end up tooth ex2 5 ) f ( x ) = ( sinx )ex Date No f = ( sind F) = cosx G = ex F ' ( x ) = ( costlex + ( sinx )ex 27 ) f ( x ) = ex X 4 quotient f=ex fl=ex Pig - fg) Bule 9 = xu 92 9 = 4 x 3 f ( x ) = ex * 4 - e * 4 x 3 = xsex ( x- 4 ) ( xu ) 2 x 8 - ex ( x - 4 ) X 5