8 6. Consider two functions fand gon (2.8] such that Sf(x)dx = 12. Jo(x)dx=5. vex)dx=7, and...
2 Consider two functions f and g on [1의 such tat | f(x)dx= 12 J g(x dx = 5 J f(xdxz 8, and J g( dxz 2. Evaluate the following integrals. a. J9f(x)dx=□ (Simplify your answer.) 5 Run script
a. 8.2 Suppose that S* f(x) dx = 6, 5+ g(x) dx = 4, and Sf(x) dx = 2. Evaluate the following integrals: - Sa 2f(x) dx (2 Marks) S*(3f(x) - 29(x)) dx (2 Marks) S* f(x)g(x) dx (2 Marks) SIC) dx (2 Marks) C. d. g(x) Sub Total 20 Marksl
4. Given the integrals, [° 8(x) dx =-7, 5*8(x)dx = 6 and 5*g(x) dx = 10, use the properties of integrals to determine the value of the integrals below. a) [°(f(x)+g(x)\dx b) ſ 8(x)dx (4 pts cach) c) $39(x)dx a [ f(x)dx
18 of 28 (12 complete) 2.37 Consider the functions f(x) = 2x - 6 and g(x) = 5 +3. (a) Find f(g(x)) (b) Find g(f(x)), (c) Determine whether the functions fand g are inverses of each other. (a) What is f(g(x))? f(g(x)) = (Simplify your answer.)
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
Dose 1.50) dx =7 (862) dx=15 (50) dx=9. 1'e() dv=3 14F(x)-2 g(x)) dx = is an odd function and is an even function Evaluate to (103dx = $(x) dx = 59(2) de T I Arial 3 (12pt] · TE E 5.00 1. P Question Completion Status: > A Moving to another question will save this response. Question 9 a , it Use Second Fundamental Theorem to find a Jo 0 ਨੰ: it = ਦੈਤ 0 , it = ਰੈੱਡ ©...
If Si f(x)da = 12 and so f(x) = 2.8, find si f(x)dx. Question 2 1 pts Let f(x)dx = 6, S. 8(x)dx = -4, S g(x)da = 12, g(x)dx = 9 Use these values to evaluate the given definite integral: (+1) da
(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=
Evaluate the following integrals.
S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
1. If fand g are both even functions, is the product fg even? If f and g both odd functions, is fg odd? What if f is even and g is odd? Justify your answers. (10 points) Find the domain g(x) =-. (10 points) 2. of the composited function fog, where f(x)=x+ and x +1 x+2 3. Let ifx <1 g(x) = x-3 ifx >2 Evaluate each of the following, if it exists. (10 points) lim g(x) lim gx)(i) lim...