-2 and find In exercises 37 and 38, assume that ff(x) dx = 3 and S;...
stuck on #37 7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4 5x 35. f) 4x 2 34. f(x)2x 3 36. fx) x2 37. f) 38. f(x) - + 1 In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all number r (if any) such that f(g(x)) g(f(x)). 39. fx) Vt, gt) 1 3 7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4...
For Exercises 1–21, find dy/dx. Assume a, b, c are constants. x^2 + y^3 = 8 x^2y − 2y +5=0 √x + √y = 25 ax^2 − by^2 = c^2
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Do not use calculator. 10 2. The value of " do is to s'of?dx = 5"x"dx = * | - x - - - - - 105 - - - 3. Find ((2 +6)(2 – 2)de 3 +2x?-12x+C 5(X+6)(x-2)dx =S(X?-2x +6x–12 )dx =5x+4y-tzdy = x + -12y = x+2x?_12y+C Math 148 Business Calculus Page 1
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
PLEASE ANSWER ONLY #13. THANK YOU! 804 CHAPTER 13 Definite Integrals: Techniques of Integration EXERCISES 13.2 37. In the figures, D) has the area (a) (W) de Evaluate the definite integrals in Problems 1-32. 1. for de 2 (Bxdx 4 2dy 5. (dx 6 Izde 7. 36 de 9. (10 - 4x) dx 10. (8x – 9) dix 11. C'ex-? - 5x) dx 12. f**-5x + 2x) dx 13. Lavras 14. (Vada 15 ligdy 16. 17. / - 4) da...
8.)Evaluate: a.) S 4x® dx. b.) ſ 4x2Vx3 + 3 dx. c.) S(x3 +1 )2 dx.
23 dx 31. J x ſ(4e' + 3x)dx s(ue' 32. jczVelde 33. 34. Find the area under the graph of y=-x*+8x over the interval [0, 2] 35. Use the properties of logarithms to simplify log, 45 ir log, 3 -.7925 and
For the following exercises, find (fºg)(x) and ( gn) for each pair of functions. 34. f(x) = 4 – x, g(x) = - 4x 35. f(x) = 3x + 2, g(x) = 5 - 6x 36. f(x) = x2 + 2x, g(x) = 5x + 1 37. f(x) = Vx+2, g(x) = 38. f(x)= x +3 1, g(x) = V1 - x
1.) Find the definite integrals a.) sdx b.) S dx x2-4x+9 c.) ſ 4arccos xdx d.) Se-3x sin 5xdx e.) S In(4 + x2)dx f.) s cosst dt sin t g.) St tan 5 2xsec 4 2xdx h.) ſ sin(-4x)cos3xdx