Answer: I think it’s 68.2
Given :
Angle of elevation, Ф = 24°.
Distance of Sam from launchpad, D = 5 miles.
To Find :
How high is the rocket.
Solution :
Let, height is h.
We know, tan Ф is given by :
Hence, this is the required solution.
You need to do integration by parts twice, and then solve for the integral as in an algebraic equation
set u=e^x and dv=sin 4x dx du = e^x dx and v=-1/4 cos4x
the integral becomes:
-e^x cos4x/4 + 1/4Integral[e^x cos 4x dx]
now, we have to do this second integral by parts, and we set u=e^x and dv=cos 4x
du=e^x dx and v=1/4 sin 4x
this gives us:
-e^x cos4x/4+1/4[e^x sin 4x/4 - 1/4Integral[e^x sin4x dx]
at this point your instinct might be to think you are in an infinite loop of integrals, but look closely at the last integral on the right, it is a multiple of the original integral you had, so:
Integral[e^x sin 4x dx] =
-e^x cos4x/4+1/16 e^x sin 4x -1/16 Integral[e^x sin 4x dx]
collect terms:
(1+ 1/16)Integral[e^x sin 4x dx] =
-e^x cos 4x/4 + e^x sin4x/16
Integral[e^x sin 4x dx] =
1/17 e^x(sin 4x - 4 cos 4x)
Answer:
(a): 
and 
Step-by-step explanation:
Given
Pairs of inequalities
Required
Select which is equivalent
(a): and
Multiply both sides of by 2
Hence: is equivalent to
(b): and 
Multiply both sides of by 2
Hence: is not equivalent to 
(c): 
and
Multiply both sides of by 2
Hence: is not equivalent to
The larger number is 120
The other is 80
