IN AN ELECTION,10% OF THE VOTES WERE DECLARED INVALID. IF A CANDIDATE GOT 40% OF A VALID VOTES AND IF THE TOTAL NUMBER OF VOTES
1 answer:
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Given:
The equation is:
To find:
The graph of the given equation.
Solution:
We have,
The table of values is:
x y
-8 -2
-1 -1
0 0
1 1
8 8
Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.
Answer:
a)
b) 10
Step-by-step explanation:
a) Here
Since the case = ∇
holds, then
∇ =
So,
If we integrate with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,
Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.
Hence,
So now, if we integrate with respect to y to find g(y,z)
Thus,
And since , then
Thus,
b) By the Fundamental Theorem of Line Integrals, we know that
Hence,