Answer:
um
Step-by-step explanation:
hehhhhhhhhhhhhhhhhhhhhhhhh
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
Answer:
7
Step-by-step explanation:
Ordered pair for 6x-4y=16
Answer:
71
Step-by-step explanation:I think I solve it a weird way but here it is.
70 times 5= 350
65+68+66+80= 279
350-279= 71
Check:
65+68+66+80+71= 350
350/5=70 which means 71 is the correct answer
