The locus is the circle with its radius that size and its center at that point.
Its equation is (x+3)^2 + (y+1)^2 = 81.
Answer:
y(s) =
we will compare the denominator to the form
comparing coefficients of terms in s
1
s: -2a = -10
a = -2/-10
a = 1/5
constant:
hence the first answers are:
a = 1/5 = 0.2
β = 5.09
Given that y(s) =
we insert the values of a and β
=
to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A
5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)
-52 = B(26)
B = -52/26 = -2
to get A lets substitute s=0.4
5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)
-51 = 0.2A - 52.08
0.2A = -51 + 52.08
A = -1.08/0.2 = 5.4
<em>the constants are</em>
<em>a = 0.2</em>
<em>β = 5.09</em>
<em>A = 5.4</em>
<em>B = -2</em>
<em></em>
Step-by-step explanation:
- since the denominator has a complex root we compare with the standard form
- Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
- substitute the values gotten into the function
- Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
- after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above
Thanks...
Answer:xxwy
Step-by-step explanation:
By by 2
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The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
<h3>What is cardinality of a set?</h3>
The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
Learn more about cardinality of a set:brainly.com/question/19257002
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