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Amanda [17]
4 years ago
5

Can I also get some help with this one as well? I'll do the rest. see previous post for the question. Thanks! #8 and #10. ​

Mathematics
1 answer:
Lelu [443]4 years ago
8 0

Answer:

8. (10/7)x^(0.7) +C

10. (x^-2)/2 -x^-1 +C

Step-by-step explanation:

The integral of x^a is x^(a+1)/(a+1).

8. a = -.3, so the integral is x^0.7/0.7

___

10. This is the difference of two integrals, one with a=-2; the other with a=-3, so ...

the integral is (x^-1)/(-1) -(x^-2)/(-2)

_____

Of course, an arbitrary constant is added to each result to complete the indefinite integral.

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Given with a = 22, b = 17, and c = 19, find . round the cosine value to the nearest thousandth and answer to the nearest whole d
Firdavs [7]
Assuming all angles are to be calculated.
Using the cosine rule:
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
substitute values,
cos(A)=(17^2+19^2-22^2)/(2*17*19)=83/323=0.25697
A=75.11 degrees
similarly
cos(B)=(19^2+22^2-17^2)/(2*19*22)=139/209=0.66507
B=48.31 degrees
cos(C)=(22^2+17^2-19^2)/(2*22*17)=103/187=0.55080
C=56.58 degrees
Check: (75.11+48.31+56.58)=180.00 degrees, ok.

Note:
1. Better accuracy than required is calculated for a more accurate check.  You need to round answers to the specified accuracy.
2. In fact, not all tables are made from formulas.  Some tables are compiled by experimentation and require hundreds and thousands of man-years to complete (e.g. steam tables).
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