The University of Texas Differential Equation Problems Questions and Answers hi, need help on this assignment from a differential equation class, tho the q

The University of Texas Differential Equation Problems Questions and Answers hi, need help on this assignment from a differential equation class, tho the questions seem like it’s just simple algebra and calc1/2 integrations, need you to show all work for all questions step by step 1. (50 pts.) Using factorization, solve the following equations showing clearly how to find the roots of the
polynomial. If the polynomial can not be factorized usng rational numbers, explain clearly why … !!!
a) 2.3 – 62² +110-6=0
b) 23 – 5×2 + 8x – 4 = 0
c) 23 – 3r? + 3x – 1 = 0
d) 23 +2+1-3=0
e) 23-502 – 2x + 24 = 0
f) 23 – 70 +12 = 0
g) 162 – 6×2 – 563 +21 = 0
h) 2123 – 3r- 352 +5= 0
i) 4223 +24×2 + 49.c + 28 = 0
j) 40,3 – 48.22 – 25x + 30 = 0
2. (12 pts.) Evaluate the integrals
a)
| cos(x)n(sinz)dt
b)
| e-cos(36)de
| *cos(xr”)dt
3. (12 pts.) Evaluate the integrals
| ta
tan” (I)sec? (z)da
b)
sin(4.x cos(52)da
c)
| to
tan-+()da
4. (12 pts. ) Evaluate the integrals
a)
dar
(4.72 +9)3/2
b)
V3
2.c
c)
dr
5. (12 pts. ) Evaluate the integrals
a)
-2 +2.r – 1
-dz
2.×3 + 3.2 – 2.c
b)
2.rº – +4
dar
13 + 4r
c)
1-
1 – 3x + 2r2 – 13
-dr
(22 + 1)2
14 – 2r2 + 40 +1
23 – 22 – 2+1
*2*+92 +2 de

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