[b]1. Homework Statement [/
Simplify: log base 2 x^2*y^3
Homework Equations
I know that log base 2 x^2 * y^3 is log base 2 x^2 + log base 2 y^3
The Attempt at a Solution
Here is what I thought:
2 log base 2 x + 3 log base 2 y But that does not seem to be simplified, it...
Homework Statement
State whether (e^4-x) + 2 is an exponential growth function or an exponential decay function. Explain why.
Homework Equations
I want to use the formula f(x) = ae^kx where a>0, and k<0.
The Attempt at a Solution
I know it is an exponential decay formula...
OK, at first I did not think I should do that, because I would wind up with two answers, but one is negative, which obviously is an extraneous answer because logs cannot be negative. So the other answer was 12.08 so the log 12.08/log 2 = 3.585 which is close to the book's answer.
Homework Statement
(2^x - 2^-x)/3=4
Homework Equations
Using log or exponential rules
The Attempt at a Solution
First multiply both sides by 3 so 2^x-2^-x=12
I thought I could take the log of both sides then condense the log, but that is not right.
I also attempted to...
Homework Statement
r=2-3cosθ Find the tangent line at any point, and at the point (2,∏) Find the tangent line(s) at the pole
Homework Equations
Do I have to use x=rcosθ and y=rsinθ to convert it to rectangular to find slopes?
The Attempt at a Solution
Is the point 2∏ even a...
Homework Statement
Is there an equation in which I can find the area of a quadrilateral when I know the length of three of the sides and 2 of the angles? Also I really need to find the measurement of the other two angles.
Homework Equations I know the cos and sin formulas of...
Ok that is easy.
So under addition, because R is a ring then r1+s1 will be in R so the (r1+s1)c1+(r2+s2)c2... is in I
And because R is a Ring and closed under multiplication r*r1, r*r2,... are in R so r*r1c1+r*r2c2+... is in I
So it is a ideal in R
Thanks
Homework Statement
I need to prove this theorem Let R be a commutative ring with identity and c1,c2,...cn E (element of) R Then the set I={r1c1+r2c2+...+rncn|r1,r2,...,rn E R} is an ideal in R
Homework Equations
Well I do know I need to prove closure under subtraction, closure...
Homework Statement
G={c+di e C| cd =0 and c+d does not =0} a*b=ab
Homework Equations
OK, I know I need to prove closed under *, and associativity and identity and inverse. I was able to do it for other set, but I do not understand what this set is saying
The Attempt at a...