Homework Statement
The indefinite integral $$\int \, $$ and it's argument.
The indefinite integral has a function of e.g ## \cos (x^2) \ ## or ## \ e^{tan (x)} \ ##
If the argument of ## \cos (x^2) \ ## is ## \ x^2 \ ## then the argument of ## \ e^{tan(x)} \ ## is ## \ x \ ## or ## \ tan (x) \...
Homework Statement
Your blowing up a balloon at a rate of 300 cubic inches per minute. When the balloon's radius is 3 inches, how fast is the radius increasing?
Homework EquationsThe Attempt at a Solution
I know the answer to this question. It is approximately 2.65 inches per minute, what my...
Mark here is what i have so far
$$\lim_{h\to 0} {\frac {\ln((x+h)^3 -5) - ln (x^3 - 5)} h} $$
$$\lim_{h\to 0}{\frac {\ln (x^3 +3x^2h +3xh^2 +h^3 -5) -ln (x^3 - 5)} h} $$
$$\lim_{h\to 0}{\frac {\ln (x^3 -5 +3x^2h +3xh^2 +h^3) -ln (x^3-5)} h} $$
I factored and used the product rule
$$\lim_{h\to...
Vela here is what i have so far
$$\lim_{h\to 0} {\frac {\ln((x+h)^3 -5) - ln (x^3 - 5)} h} $$
$$\lim_{h\to 0}{\frac {\ln (x^3 +3x^2h +3xh^2 +h^3 -5) -ln (x^3 - 5)} h} $$
$$\lim_{h\to 0}{\frac {\ln (x^3 -5 +3x^2h +3xh^2 +h^3) -ln (x^3-5)} h} $$
I factored and used the product rule
$$\lim_{h\to...