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:
21
x
^2
Step-by-step explanation:
3x(7x)
=3*x*7*x
=21*x^2
=21x^2
<span>I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again</span>
<span /><span> 6x²+15x-2x-5 </span>split the equation in half<span />
<span>6x²+15x -2x-5 so out of the first equation we can pull a 3x out</span>
<span>3x(2x+5) and out of the second we can pull a negative 1</span>
<span>3x(2x+5) -1(2x+5) rewrite it</span>
<span>(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)</span>
<span>
</span>
<span><u>HOPE THIS HELPS!!!</u></span>
Answer:
Step-by-step explanation:
![\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%2015x-10x%5E3%5C%5C%5C%5CGreatest%20Common%20Factor%20%3D%205x%5C%5C%5C%5CSo%2C%20We%27ll%20%5C%20take%20%5C%205x%20%5C%20common%5C%5C%5C%5C%3D%205x%20%28%203-2x%5E2%29%5C%5C%5C%5CThus%2C%20this%20%5C%20is%20%5C%20the%20%5C%20factorized%5C%20form%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AnonymousHelper1807</h3>
Answer:
original price = 105.66
Step-by-step explanation:
35% off means she pays 100-35 = 65%
original price * 65% = 68.68
Change to decimal form
original price *.65 = 68.68
Divide each side by .65
original price *.65/.65 = 68.68/ .65
original price = 105.66
