Answer:
If the number is infinite then it's irrational
Answer:
-20
Step-by-step explanation:
-8v-9=7
Add 9 to each side
-8v-9+9=7+9
-8v = 16
Divide by -8
-8v /-8 = 16/-8
v = -2
Now find
7v -6
7(-2) -6
-14 -6
-20
Answer:

Step-by-step explanation:
1) Cancle -60 on both sides.

2) Simplify 2x + 3x to 5x.

3) Since both sides are equal, there are infinitely many solutions.

<u>Therefor</u><u>,</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u><u>.</u>
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is
The initial value is 21 and rate of change is 16 pages per week
<em><u>Solution:</u></em>
Given that After writing part of his novel, Thomas is now writing 16 pages per week
After 4 weeks, he has written 85 pages.
Given that assume the relationship to be linear
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c
y = mx + c
where "y" is the number of pages written after 4 weeks
x = 4 weeks and m = 16 pages
Therefore,
85 = 16(4) + c
85 = 64 + c
c = 85 - 64
c = 21
Therefore, initial value is 21 and rate of change is 16 pages per week