Parameterize the ellipsoid using the augmented spherical coordinates:
Then the Jacobian for the change of coordinates is
which has determinant
Then the volume of the ellipsoid is given by
where
denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume
Answer:
A. 5 × ( 3 + 2 + 2 1/4 )
Step-by-step explanation:
Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.
The expression represents the total number of miles he biked is calculated as:
The number of times he rode his bike × (sum of the number of miles he biked)
= 5 × ( 3 mile + 2 miles + 2 1/4 miles)
= 5 × (3 + 2 + 2 1/4)
Therefore, Option A is the correct option
Answer:
D = 300 m
Step-by-step explanation:
<u><em>Given :</em></u>
Speed = 5 m/s
Time = 1 min = 60 secs
<u><em>Required:</em></u>
Distance = ?
<u><em>Formula :</em></u>
Speed = Distance/Time
<u><em>Solution:</em></u>
Distance = Speed × Time
D = 5 × 60
D = 300 m
Answer:
-1
Step-by-step explanation:
using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem
First, multiply (-5)(2) and 2(-3)
(-5)(2) – 2(-3) + 3
=-10-(-6)+3
=-10+6+3
add -10+6
-4+3
Add -4+3
-4+3
=-1
Therefore, (-5)(2) – 2(-3) + 3 is equal to -1
