Answer:
gog(x)=9x-16
Step-by-step explanation:
We are given g(x)=3x-4 and are asked to find (gog) (x)
gog(x)=g(g(x))
g(x)=3x-4
Hence
g(g(x))=g(3x-4)
=3(3x-4)-4
=9x-12-4
=9x-16
Hence
gog(x)=9x-16
Answer:
220 N * m or 220 J
Step-by-step explanation:
We have that the work formula would be the applied force multiplied by the distance traveled, that is:
W = F * d
In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:
W = 200 * 1.1
W = 220 N * m = 220 J
Therefore the work carried out by Clarissa and her mom is 200 joules.
Answer:
(m+n)/10
Step-by-step explanation:
divide 10 by the sum of n and m
(m+n)/10
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
