Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0
when r =0
we have

Since cos cannot take values as -3 it doe snot pass through origin.
Answer:
x=1
Step-by-step explanation:
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
Answer:
Your answer is A.
Step-by-step explanation:
Looking at the graphing two-equation: y = x^3 -3 and y = x^2+6 are up there, it can help us determine the limit of domain.
The dot is the x<=2 for equation y=x^3-3.
The circle is x>2 for equation y=x^2+6
3^(-4) means "one over 3^4"
1/(3^4)
That's equal to
1/81
and
(1/3)^4
This is also equal to 3^2/3^6.
So four of those are correct.