Answer:

Step-by-step explanation:
We are given that


y(0)=0
y'(0)=1
By comparing with

We get


q(x)=0
p(x),q(x) and g(x) are continuous for all real values of x except 3.
Interval on which p(x),q(x) and g(x) are continuous
and (3,
By unique existence theorem
Largest interval which contains 0=
Hence, the larges interval on which includes x=0 for which given initial value problem has unique solution=
The answer is 71°.
x = angle
3x = 90 - x - 14
4x - 76
x = 19°
90 - x = 71°
Answer:
22.88 cm^3
Step-by-step explanation:
The volume of a sphere formula is (4/3)*pi * (radius)^3
Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.
Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.
We have:
Volume = (4/3) * pi * (2.54)^3 * (1/3)
= 22.88 cm^3
Answer:
3*x
Step-by-step explanation:
If Becca has 3 times the amount of games as Susan then you would multiply the number of games Susan has by 3. So we can use X (or another letter) to represent the number of games Susan has. Giving us 3*x