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
Step-by-step explanation:
lets radius be r and height be h,
r+h=21 -----(1)
curved surface area
2×pi×r×h=616 -----(2)
use simultaneous eqn to solve for r and h.
total surface area of cylinder= 2×pi×r×h + 2×pi×r²
= ans if im not wrong
Answer:
1b
2b
3a
Step-by-step explanation:
Answer:
the numbers are 85 and -31.
Step-by-step explanation:
first, let the numbers be x and y.
so by question we have,
x+y=54.......(I)
x-y=116......(I I)
now, solve it through elimination method,
x+y=54
x-y=116
here, y and y cancelled out and we get,
or, x+x=54+116
or, 2x=170
or, x=170/2
therefore, x=85
now put value of x in any equation. let's put in eqn (I), we get,
or, x+y=54
or,85+y=54
or, y=54-85
so, y= -31
therefore, the numbers are 85 and - 31.
