Answer:
-7 is the answer!! :) hope this helps
Answer:
M = 5742π
Step-by-step explanation:
Given:-
- Find the mass of a solid with the density ( ρ ):
ρ ( r, θ , z ) = 1 + z / 81
- The solid is bounded by the planes:
0 ≤ z ≤ 81 - r^2
0 ≤ r ≤ 9
Find:-
Find the mass of the solid paraboloid
Solution:-
- The mass (M) of any solid body is given by the following triple integral formulation:
- We can write the above expression in cylindrical coordinates:
- Perform integration:
- The mass evaluated is M = 5742π
Answer:
v . w= -13
Step-by-step explanation:
Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>
Solution
Given the vectors:
r = <8, 1, -6>
v = <6, 7, -3>
w = <-7, 5, 2>
If you're asking about the dot product.
The dot product is a scalar. It is the sum of the product of the corresponding components.
v.w = (6*-7) + (7*5) + (-3*2)
= -42+35-6
= -13.