V = 1/3 * (pi) * r^2 * h
(pi) = 3.14
r = 6
h = 3
V = 1/3 * (3.14) * 6^2 * 3
V = 1/3 * 3.14 * 36 * 3
V = 1/3(339.12)
V = 339.12 / 3
V = 113.04 cubic inches <==
Answer:
40 miles per hour
Step-by-step explanation:
change hours and minutes to hours
12 minutes = 12 minutes * 1 hr/ 60 minutes = 12/60 hrs
12/60 = 1/5 = .2 hours
1 hours 12 minutes = 1.2 hours
48 miles in 1.2 hours
48/1.2 = 40 miles/hour
Answer:
-7 and 21
Step-by-step explanation:
y-2y=7 (sub x=7 to the equation)
-y=7
y=-7 (not sure of its correct)
if y=-7,
x-2(-7)=7 (sub y=-7 into equation)
x-14=7
X=7+14
X=21
Answer:
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is

Step-by-step explanation:
Given equation is

This Euler Cauchy type differential equation.
So, we can let

Differentiate with respect to x

Again differentiate with respect to x

Putting the value of y, y' and y'' in the differential equation



⇒m²-10m +24=0
⇒m²-6m -4m+24=0
⇒m(m-6)-4(m-6)=0
⇒(m-6)(m-4)=0
⇒m = 6,4
Therefore the auxiliary equation has two distinct and unequal root.
The general solution of this equation is

and

First we compute the Wronskian


=x⁴×6x⁵- x⁶×4x³
=6x⁹-4x⁹
=2x⁹
≠0
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
