Answer:
522,761 baseballs
Step-by-step explanation:
Number of baseball bats produced over the last 2 years = 357, 945
Number of little league baseballs produced over the last 2 years = 490,867
Number of major league baseballs produced over the last 2 years = 389,839
Total number of baseballs produced over the period = 490,867 + 389,839
= 880,706
Number of baseballs manufactured more than bats = 880,706 - 357945
= 522,761
There are 522,761 baseballs produced more than bats during the 2 years.
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
False is the correct answer
Answer:
yes
Step-by-step explanation:
