Q. ((a^ r + b^r)/2)^(1/r)
A. lim ((a^r + b^r)/2)^(1/r) (as r --> 0)
LN lim = lim LN
lim LN ((a^r + b^r)/2)^(1/r) =
= lim (1/r)LN ((a^r + b^r)/2) (as r --> 0) is a indetermination form 0/0
L'Hopital rule
lim ((a^r LN(a) + b^r LN(b))/(a^r + b^r)) (as r --> 0)
= LN(a)/2 + LN(b)/2 = LN â(ab)
as
LN lim ((a^r + b^r)/2)^(1/r) = LN â(ab)
lim ((a^r + b^r)/2)^(1/r) = â(ab)
Cylinder radius.....Please solve for r?
Q. We're not getting the answer we're supposed to...
The surface area of a cylinder is 628.3 square mm, and the height is 15mm.
The formula (in case you need it), is: 2"pi"r (r+h)
Please solve for r and please show your steps so we can see what part of it we're doing wrong.
Thank you.
David K, You're awesome! Thank you. We'd made a dumb mistake. We'll pick you as best answer as soon as it will allow it! ;o)
rscanner and Sarkata, a great big "thank you" to you too, for confirming David K's correct answer!
A. 2 Pi r (r+h) = 628.3 and h=15
2 Pi r (r+15) = 628.3
Using Pi=3.1415 is really convenient because 2 Pi=6.283.
6.283 r (r+15) = 628.3
r(r+15) = 100
r = 5 (r=-20 as well but that is not a valid answer)
Solve for b: R = 3a2b?
Q. Is it R over 3a2 or 3a2 over R or 3a - R or R - 3a2
A. R=3a^2b
Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
3a^2b=R
Divide each term in the equation by 3a^(2).
3a^2b/3a^2=R/3a^2
Simplify the left-hand side of the equation by canceling the common factors.
b=R/3a^2
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Title : Find the limit as r approaches 0?
Description : Q. ((a^ r + b^r)/2)^(1/r) A. lim ((a^r + b^r)/2)^(1/r) (as r --> 0) LN lim = lim LN lim LN ((a^r + b^r)/2)^(1/r) = = lim (1/r)LN ((a...