erals +1)5/2 dx and Siteder dx. 1tex erals + 1)5/2 dx and Vitendo
dx/dt= -2 -5 5 -2 x(0)= 2 4 Solve the system dx/dt = [-2 -5; 5 -2]x with x(0) = [2 4]. NOTE: *Give Solutions in real form x1=_____ and x2=________
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...
15 Suppose that - [om-a. Jawa..ma ... [ )dx = 0, 5 t)dx= 7, and ſoba)dx=2. Use properties of definite integrals to calculate ST7f(x) + g(x)]dx. 6 15 Str(x) = g(x)dx = [] (Simplify your answer, 6
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
Suppo ſº swdx = 2. [ f(x) dx = 17. ["f«x) dx = 5. Then x) dx = [ f(x)dx= [ºsw)dx= ]
by trig substitution please
2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6
2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6
2. If • a<b<c • Sºf(x) dx = 5 • Sog(x) = 3 • Sg(x) dx = 7 Then, what is the value of f(x) - g(x)]dx?
Cale 2 evalute 2 Dx cos (2x) 5
(1 point) Let [ f(z)dx=-13, 5° f(x) dx = 3, $*g(x) dx = 6, §*9(a) dx = 1, J2 Use these values to evaluate the given definite integrals. a) ["{$(2) + 9()) dx = 6 .) – g(x)) dx = * (31(2) + 29(2) de = (af(x) + g()) dc = 0. d) Find the value a such that a=