R = wp
p = r/w
anything 2 ask please pm me
I think:
Step 1: 3 times
So 3/8 of a gallon
Sorry if it’s not correct
Let's solve this using decimal places.
convert 3 3/11 to decimal number by dividing 3 by 11 and adding it to 3.
3.27 (this is enough places since the other number has 2 places)
Add 3.27 f to 3.27 f.
6.54 feet
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

the store is 1/3 the way to her friend's house, not 1/3 mile.
this explains solution:
1/3x = 1/4
x = 1/4 * 1/3
x = 3/4
Notes:
X: is the total distance.
1/3 is the one portion of total distance.
1/4 mile is the distance store.