Math 1100 Section 4 Review 3 (5.1-7.4) Due: Day of Test 3
This will be graded on completion so try all of the problems.
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1. Find 3x + p7x x5 + 4ex dx
p
5x5 7 x6 8dx
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3. Find x5 ln(x)dx
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3
4. Find x3 ex 5dx
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5. Find 15 3x2 2x + 1dx
p
6. Find the area of the region bounded by the curves y = 2x + 10
and y = x + 1
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7. Find 31 x14 dx
8. If F (x; y; z ) = x2 + y 3 + z 4 nd F (1; 2; 3) and F (1; 2; 0).
9. If G(x; y; z ) = z 2 xy + x2z then nd Gx , Gy , and Gz and evaluate
each at the point (1,-1,4)
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7 x2
10. Find 100
100 x e dx
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p9 4 2 + 7ex dx
11. Find 5x3 + 10
x
x
2. Find
14.
15.
16.
17.
18.
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30x 39
5x2 13x+6 dx
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Find 5x2ex dx
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Find ln( xx+11 )dx
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Find 21 e5x dx
Find the area of the region bounded by the curves y = x3 3x2 +
6x 10 and y = 2x2 10
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Find 23 px1 2
If H (x; y; w; z ) = x2ewz + y then nd H (1; 3; 4; 2) and H (5; 2; 1; 0)
12. Find
13.
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19. If M (x; y; z ) = yln(x) + xez + zy then nd
evaluate each at the point (1,3,2).
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x
20. Find 55 (5xex + ln(e5xe ))dx
Mx
,
My
, and
Mz
and