jfan17

I just wrote out g(x)'s polynomial form. In other words, because I didn't know the actual coefficients, I substituted with variables like a₀, a₁, etc. to denote the coefficient for that x term

Hey guest! This problem is very non specific in what the value of x can be. As coolstuffYT pointed out, the value of y is minimized at 0(because it's a square term, meaning its either positive or zero). However, the 2x is where things get tricky. Contrary to Coolstuff's answer, the answer is NOT setting x = 2, because the problem clearly defines for us that x > 2, not greater than or equal to. Assuming that the question wants integer values of x and y(it never explicitly says), we set x =3, which gives us:

\(2 * 3 + 0^2 = 6\)

Hey mharrigan! In this problem, we'll make use of a useful log identity. 

\(\log_{a}b + \log_ac = \log_{a}bc\)

Given that these two logs have the same base.

As such, since we have:

\(\log_au + \log_av\), we can rewrite this to equal:

\(\log_au + \log_av = \log_a{uv}\)

This is where the question becomes kind of murky. The problem itself never says what "true or false" means in the context of the problem. Does it mean for all u and v, or just find one u and v so that it satisfies that requirement? Meaning that for all we know, uv could equal u + v(we don't know, it never says?). Contrary to Cal's answer, if the problem asked you to find one such case so that this expression holds true, then the answer would be true(we can have 2 and 2, which would work). However, if it was in general, then it would be definitely false. 

Hey guest! First, let's form a right triangle with two legs of 75, with 35 being the height of the building, and 75 being the distance that you are standing from the building. Next, we know that the tangent of our angle is opposite / adjacent, which means it is equivalent to:

35 / 75 = 7 / 15

Finally, to get our desired angle, we take the arctan(7/15), which will give us our desired angle. Plugging it into a calculator, we get an angle of:

62.1818607 degrees, which rounds out to 62.2 degrees 

Tan 50 is not the angle of elevation, that's arctan of that ratio. Tangent is a ratio of sides, not the angle itself. The inverse sine (arcsin)is the angle itself given the sine for example. Consequently, the inverse tangent(arctan) is the angle itself given the tangent.

yes Part B is wrong. Bill has more interest. That was a mistake on my part

This is a repost, I'd suggest scrolling down the list of answers. I've answered this problem(but my answer for part B is wrong, but someone has corrected me)

I definitely second EP's comment! This site isn't for just giving you the answer, it's for showing you solutions and ways to think about these problems so you can improve! You have to realize that posting so excessively without giving second thought to the solutions is just a short term solution; it doesn't help you improve at all.

Here's my answer to a previous problem:

https://web2.0calc.com/questions/suppose-we-have-an-unknown-number-of-objects-when#r1

It employs the same principle. See if you can try to solve it with my method, and try playing around with it. 

Oh right! I was calculating the total amount after the given years(oops on my part) :P. Nice observation!