Answer:
inverse is the opposite
Step-by-step explanation:
Answer:
SA = 402.14 square inches
Step-by-step explanation:
Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).
The rectangular area will be of dimension:
Ar = (height)*(circumference of the disk)
Ar = (12 in) * (8 in) *pi = 301.60 in^2
The area of one disk will be
Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2
So the total surface area will be
SA = Ar + 2* Ad = 402.14 in^2 (square inches)
Answer:
(A)
with
.
(B)
with 
(C)
with 
(D)
with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then
. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain
. Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set
and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be
we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
Answer:
x = 8
Step-by-step explanation:
A common pythagorean triplet is 7, 8, 9
About 6 inches. Originally 5.906 in...