Answer:
84.05 lbs, I think...
Step-by-step explanation:
I divided 164 by 80 and got 2.05
Then I multiplied 2.04 by 41.......I might be wrong... But hopefully I'm not..
Answer:
it would be x>-18
Step-by-step explanation:
Volume of a sphere is 4/3pi∗r3. r is half the diameter.
Answer: 144
Step-by-step explanation:
No need explanation
The tangent to 
through (1, 1, 1) must be perpendicular to the normal vectors to the surfaces 
and 
at that point.
Let 
. Then is the level curve 
. Recall that the gradient vector is perpendicular to level curves; we have
so that the gradient of 
at (1, 1, 1) is
For the surface , we have
so that 
. We can obtain a vector normal to by taking the cross product of the partial derivatives of 
, and evaluating that product for 
:
Now take the cross product of the two normal vectors to and :
The direction of vector (24, 8, -8) is the direction of the tangent line to at (1, 1, 1). We can capture all points on the line containing this vector by scaling it by 
. Then adding (1, 1, 1) shifts this line to the point of tangency on . So the tangent line has equation
