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Darrien Darrien
wrote...
Posts: 3
Rep: 0 0
11 years ago
I have a few problems from my summer homework packet that I don't know how to do at all, so I was wondering if anyone can help me? --I'm not allowed to use a calculator on any of these problems, and I would like it if you were to show me how to do these problems step-by-step

1) if c(x) = cos(sin^(-1)x), what is the range of c?

2) log(base 1/b)x =

3) a parametric representation for the line containing (-3, 6) and (2, 10) is...

4) solve for x: 2x = 7^(1+log(base 7)4)

5) f(a + b) = f(a) x f(b) is true if f(x)=
     a. x
     b. log(base c)x
     c. sin x
     d. 1/x
     e. 3^x

6) which of the following functions is periodic with period (pi)
     a. y=sin x
     b. y=(pi)x
     c. y= lcos xl
     d. y= (pi)
     e. y= sin (pi)x
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wrote...
11 years ago
2)
log(base 1/b)x =
log(x) / log(1/b) =
log(x) / ( log(1) - log(b) )=
- log(x) / log(b)
wrote...
11 years ago
1.

cosine and sine only oscillate between -1 and 1 .

I am assuming you mean cos (arcsin (x)) the result is sqrt (1-x^2) so the range is from 0 to 1

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