If the number begins by being rational, multiplying by 0.5 will not change whether or not it is rational. It will remain rational.
That would include any even number 12 * 0.5 = 6
12 started out as rational, so the answer is rational (6)
Any odd number is also rational
23 * 0.5 = 11.5
23 and 11.5 are both rational.
3.636363636 ... is rational so when multiplied by 0.5 the result will be rational.
1.818181818....
So if we start with something irrational like pi
then pi * 0.5 is not rational.
If you have choices, please list them.
Answer:
x=-2
Step-by-step explanation:
Answer: 4 miles in 1/3 hour
Step-by-step explanation:
Answer:
hawk
Step-by-step explanation:
because it also eats big animals like foxes and baby lambs
Answer:
C) The partial derivatives were not evaluated a the point.
D) The answer is not a linear function.
The correct equation for the tangent plane is 
or 
Step-by-step explanation:
The equation of the tangent plane to a surface given by the function 
in a given point 
can be obtained using:
(1)
where 
and 
are the partial derivatives of 
with respect to 
and 
respectively and evaluated at the point .
Therefore we need to find two missing inputs in our problem in order to use equation (1). The 
coordinate and the partial derivatives and . For just evaluating in the given function we obtain 
and the partial derivatives are:
Now, substituting in (1)
Notice that until this point, we obtain the same equation as the student, however, we have not evaluated the partial derivatives and therefore this is not the equation of the plane and this is not a linear function because it contains the terms (
and 
)
For finding the right equation of the tangent plane, let's substitute the values of the partial derivatives evaluated at the given point:
or
