Answer:
Step-by-step explanation:
Answer:
The answer is when we rotating something 90 degrees clockwise about the orgin
(x,y) goes to (y,-x)
Simplify= 4r+3
Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same
Then the answer if r=5 is 23
Because the equation looks like 4(5)+3
5 times 4 is 20 plus 3 is 23
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
Answer:
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
2) Multiply both sides by 3.
Simplify 4 × 3 to 12.
4) Add 10 to both sides.
5) Simplify -12 + 10 to -2.
So, therefor, the answer is, x = -2.
