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# MATH 165 Ball State Exam2 Review ansExam

Department
Mathematical Sciences
Course Code
MATH 165
Professor
All
Study Guide
Midterm

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Math 165
Review Sheet 2
1. a) f(x) = 7x6+ 15x4+ 8x3
b) g(x) = x42x32x1
(x31)2
c) f(t) = 3
2t1
2+5
2t
3
2
2. ¡3
2,9
4¢
3. a=3
2, and b=6.
4. a) t= 2 s(2) = 17
t= 3 s(3) = 18
b)t < 2 and t > 3
5. a) 3
b) -1
2
6. 1cos(x)
sin2(x)
7. y=1
2
8. a) tan(x)
b) x1
2x+1(3x+1)4/3
c) cos2(3x)
2x6xsin(3x) cos(3x)
d) sin(x) cos(cos(x))
e) 2
e2x+e2x
9. 10
10. y1 = 4
7(x2) meets x-axis at x= 15/4
11. y=2x+π
12.
13. y′′ = 0 t= 0,2
y(0) = 0, y(2) = 16, y(0) = 2, y(2) =
14
14. ¡r
x+s¢xrexs
15. 3
8
16. 1
6
17. 1
15
18. y=7x+3
23x
19. 3
20. x= 1
21. ln(2) + 3 ln(x) + ln(y)1
2ln(z)
22. x=e(ln(2))2= 2ln 2
23. −∞
24. ln ¡2
3¢
25. ln(3) cos(x)3sin(x)
26. (x+1)4(x5)6
2x+1 ³1
2x+1 +4
x+1 +6
x5´
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