More problems to work!

[JeanneMo]

For those of you who just REALLY understand and enjoy this stuff... here are a few more for ya!

1.** If log 8 M = log 5 17 , then M = _______ ?
————
log 5 8



2.** Geometry. The area A of an equilateral triangle varies directly as the square of the length of a side. If the area if the equilateral triangle whose sides are of length 2 cm is ( 3 ) cm 2 , find the length s of an equilateral triangle whose area A is (3)/4 cm 2 .

For problems 3.** and 4.** determine (algebraically) whether the given function is even, odd, or neither:

3.** f ( x ) = x 3 - 2 x 2 a) even b) odd c) neither
_______
4.** f ( x) =  1 - x 2 a) even b) odd c) neither
_____
5.** Determine the domain of the function: f (x) =  6 – x

6.** Find two numbers y such that the distance from (-2, 3) to (5, y) is 10. (They might not be rational)



Any help you can be is greatly appreciated cause I'm at a loss!

 

[stapel]

Please post geometry questions to the "geometry" category and algebra questions to one of the "algebra" categories. I cannot see how any of these questions requires calculus.

1) Please reply with clarification of the equation. When you reply, please show the steps you have attempted.

2) Variation equations translate as follows:

. . . . ."y varies (directly) as x": y = kx
. . . . ."y varies inversely as x": y = k/x
. . . . ."y varies jointly as x and z": y = kxz

Translate your exercise into the appropriate equation type, and solve, as you learned back in algebra. (I'm assuming, from where you posted, that you're in calculus now.) I can't go into specifics, because I don't know what the question-marks in your post stand for.

3) To determine the evenness or oddness of a function, plug in "-x" for every instance of "x", and simplify. If you end up with the same thing (such as f(x) = x² and f(-x) = (-x)² = x² = f(x)), then the function is even. If you end up with the exact opposite (all the signs changed, such as f(x) = x³ - 5x and f(-x) = (-x)³ - 5(-x) = -x³ + 5x = -f(x)), then the function is odd. Otherwise, it is neither even nor odd.

4) See (3).

5) The domain is all allowable x-values. So check for where square roots have non-negative arguments, and where denominators are non-zero. (Since I can't tell what the function actually is, due to the "?" in it, I can't be more specific than that.)

6) Plug (-2, 3) and (5, y) into the Distance Formula, set the distance equal to 10, and solve the resulting quadratic equation.

If you get stuck, please reply showing your work. Thank you.

Eliz.

 

[JeanneMo]

Well, I posted all of them here because I copied them directly from my assignment out of my calculus class... math is math to me.
I appologize, I didn't realize that the sq. root symbols were showing up as (?'s) so, that is what belongs where those are.

As for clarification of anything, that is all I've got... I did cut and paste... I can't clarify anything more than it is on here.

I'll play with the variation stuff.

and the even/odd etc.

as well as the rest of it.

and I appreciate your assistance with those formulas and examples. thank you for your time.