Gravity on Jupiter

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Srctiom 2.1

See attachment.

[Eigenvalue]

96a. H(x)=20-13(1)²=7
H(x)=20-13(1.1)²=4.27
H(x)=20-13(1.2)²=1.28

[nycmath]

96a. H(x)=20-13(1)²=7
H(x)=20-13(1.1)²=4.27
H(x)=20-13(1.2)²=1.28

That was easy enough. Thank you.

[Eigenvalue]

B) 20-13x²=15
13x²=5
x²=[tex]\frac{5}{13}[/tex]
x=[tex]\pm \frac{√65}{13}[/tex]

20-13x²=10
13x²=10
x²=[tex]\frac{10}{13}[/tex]
x=[tex]\pm \frac{√130}{13}[/tex]

20-13x²=5
13x²=15
x²=[tex]\frac{15}{13}[/tex]
x=[tex]\pm \frac{√195}{13}[/tex]

[Eigenvalue]

C) H(x)=20-13x²=0
20=13x²
x²=[tex]\frac{20}{13}[/tex]
x=[tex]\pm \frac{√260}{13}[/tex]

[nycmath]

B) 20-13x²=15
13x²=5
x²=[tex]\frac{5}{13}[/tex]
x=[tex]\pm \frac{√65}{13}[/tex]

20-13x²=10
13x²=10
x²=[tex]\frac{10}{13}[/tex]
x=[tex]\pm \frac{√130}{13}[/tex]

20-13x²=5
13x²=15
x²=[tex]\frac{15}{13}[/tex]
x=[tex]\pm \frac{√195}{13}[/tex]

A job well-done.

[nycmath]

C) H(x)=20-13x²=0
20=13x²
x²=[tex]\frac{20}{13}[/tex]
x=[tex]\pm \frac{√260}{13}[/tex]

Clear and to the point.