Answer:
13p+7
Step-by-step explanation:
Split up the surface
into three main components
, where
is the region in the plane
bounded by
;
is the piece of the cylinder bounded between the two planes
and
;
and
is the part of the plane
bounded by the cylinder
.
These surfaces can be parameterized respectively by
where
and
,
where
and
,
where
and
.
The surface integral of a function
along a surface
parameterized by
is given to be
Assuming we're just finding the area of the total surface
, we take
, and split up the total surface integral into integrals along each component surface. We have
Therefore
The following information will help us with this problem:
When we use that information in the context of this problem, we can find:
Thus, a = 15, b = 7, and c = 4.
Answer:
<u>$328.52</u>
Step-by-step explanation:
let p = x, t = 6 years and r = 0.07. now the formula is x*e^0.42 = 500. e^0.42 is approx. 1.522. divide 500 by that to get about <u>$328.52</u>
Answer:
Y = 15sqrt(3)/4
Z = 15sqrt(3)/2
b = 45/4
Step-by-step explanation:
Sin(60) =Z/15
sqrt(3)/2 = Z/15
Z = 15sqrt(3)/2
Sin(30) = Y/Z
½ = Y/Z
Y = ½(15sqrt(3))/2 = 15sqrt(3)/4
Cos(30) = b/Z
sqrt(3)/2 = b/Z
b = 15sqrt(3)/2 × sqrt(3)/2
b = 45/4
sqrt is square root/radical