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Definition 1: Perfect squares are numbers or expressions that are the product of a
number or expression multiplied to itself (7 times 7 is 49, so 49 is a
perfect square).
Definition 2: <span>Binomials are algrebraic expressions containing only two terms.</span><span />
<span>
</span><span>Definition 3: Trinomials are algebraic expressions that contain three terms. </span><span />
Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself. There are two formulas for perfect square trinomials:
.
From these formulas you can see that:
A. <span>"Neither of the perfect squares can have a minus sign" is true statement;
</span>
B. "<span>The first and third terms must be perfect squares" is true statement;
</span>
C. "<span>If the perfect square terms are
and 
then the other term must be 
" is false statement;
</span>
D. "<span>None of the above is a property of a perfect square trinomial" is consequently false statement.
</span>
Definition 2: <span>Binomials are algrebraic expressions containing only two terms.</span><span />
<span>
</span><span>Definition 3: Trinomials are algebraic expressions that contain three terms. </span><span />
Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself. There are two formulas for perfect square trinomials:
From these formulas you can see that:
A. <span>"Neither of the perfect squares can have a minus sign" is true statement;
</span>
B. "<span>The first and third terms must be perfect squares" is true statement;
</span>
C. "<span>If the perfect square terms are
</span>
D. "<span>None of the above is a property of a perfect square trinomial" is consequently false statement.
</span>
It looks like you want to compute the double integral
over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.
Convert to polar coordinates, in which <em>D</em> is given by the set
<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}
and
<em>x</em> = <em>r</em> cos(<em>θ</em>)
<em>y</em> = <em>r</em> sin(<em>θ</em>)
d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>
Then the integral is