(a) 
(b) 
(c) 
Solution:
To write each of the given expression in the form
:
(a) 
Using exponential rule: 


(b) 
Divide numerator and denominator by the common factor 2, we get

Using exponential rule: 


(c) 
Divide numerator and denominator by the common factor 7, we get

Using exponential rule: 


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:
3 and 4
Step-by-step explanation:
4. 28/105 is what it is trying to explain
3. -3/12 is what it is trying to explain
Answer:
A^2+b^2=c^2
Step-by-step explanation:
Pretty much the two shortest sides of a right triangle squared is equal to the length of the longer side (hypotenuse) squared
Answer:
triangle goes on top
Step-by-step explanation:
i dont know what im doing