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:
3648 pieces of candy.
Step-by-step explanation:
Mr. Fox purchased 76 bags of candy.
Each bag contains 48 pieces of candy.
Multiply the two numbers together:
76 x 48 = 3648
Mr.Fox purchased 3648 pieces of candy.
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Answer:
6x-12
you don't know what the 'number' is so put it as a letter like 'x'
12 is getting subtracted from 6(x)
so 6x-12
Answer:
1.) 42in = 3.5 foot?
Step-by-step explanation:
He was meant to divide by 3 when the equation was 3x=15, not multiply, so he would get the answer x=5