Answer:
y = 1/2x -2
Step-by-step explanation:
The 2-point form of the equation for a line is useful for answering questions like this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)
Filling in the given points, the equation becomes ...
y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5
y = 1/2(x +6) -5
y = 1/2x -2
First, you must know these formula d(e^f(x) = f'(x)e^x dx, e^a+b=e^a.e^b, and d(sinx) = cosxdx, secx = 1/ cosx
(secx)dy/dx=e^(y+sinx), implies <span>dy/dx=cosx .e^(y+sinx), and then
</span>dy=cosx .e^(y+sinx).dx, integdy=integ(cosx .e^(y+sinx).dx, equivalent of
integdy=integ(cosx .e^y.e^sinx)dx, integdy=e^y.integ.(cosx e^sinx)dx, but we know that d(e^sinx) =cosx e^sinx dx,
so integ.d(e^sinx) =integ.cosx e^sinx dx,
and e^sinx + C=integ.cosx e^sinxdx
finally, integdy=e^y.integ.(cosx e^sinx)dx=e^2. (e^sinx) +C
the answer is
y = e^2. (e^sinx) +C, you can check this answer to calculate dy/dx
The 8 percent commission must be at least $1000.
8% = $1000
1% = $125
100% = $12500
Hence, Jim needs to sell $12500 dollars worth of widgets.
Answer:
The 
of the clean compound is approximately 10.495.
Step-by-step explanation:
If the cleaning ion concentration of the cleaning compound is ![[H^{+}] = 3.2\times 10^{-11}](https://tex.z-dn.net/?f=%5BH%5E%7B%2B%7D%5D%20%3D%203.2%5Ctimes%2010%5E%7B-11%7D)
, then the , no unit, of the compound is:
![pH = -\log_{10} [H^{+}]](https://tex.z-dn.net/?f=pH%20%3D%20-%5Clog_%7B10%7D%20%5BH%5E%7B%2B%7D%5D)
(1)
The of the clean compound is approximately 10.495.
