Recent content by j9mom

[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...

Yes, I did mean to type f(x) = e^(4-x) + 2 and f(x) = ae^(-kx) Thank you for that correction

Ok, would I just say the parent function is f(x) = e^-1x so a is 1 and k is -1. Then the function is shifted up 2, to the left 4?

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.

Ok, so u - 1/u = 12 so u^2 - 12u - 1 = 0 Do I use the quadratic equation to solve for u? Sorry, but this is unlike any of the other equations we did.

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...

OK, let me try that. I never thought of a trapezoid. Thanks.

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...

But I also need to prove then that (ce-df)(ed+ce)=0?

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...

So I will just say x cannot divide (ab,c) Simce x is an arbitrary prime number then it holds for all prime numbers. Therefore (ab,c)=1