By converting into parametric equations,
<span><span>x(θ)=r(θ)cosθ=cos2θ<span>cosθ
</span></span><span>y(θ)=r(θ)sinθ=cos2θsinθ</span></span>
By Product Rule,
<span>x'(θ)=−sin2θcosθ−cos2θsinθ</span>
<span>x'<span>(π/2)</span>=−<span>sin(π)</span><span>cos<span>(π/2)</span></span>−<span>cos(π)</span><span>sin<span>(π/2)</span></span>=1</span>
<span>y'(θ)=−sin2θsinθ+cos2θcosθ</span>
<span>y'<span>(π/2)</span>=−<span>sin(π)</span><span>sin<span>(π/2)</span></span>+<span>cos(π)</span><span>cos<span>(π/2)</span></span>=0</span>
So, the slope m of the curve can be found by
<span>m=<span>dy/dx</span><span>∣<span>θ=<span>π2
</span></span></span>= <span><span>y'<span>(π/2)/</span></span><span>x'<span>(π/2)
</span></span></span></span>=0/1
=0
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer:
5 and 6
Step-by-step explanation:
-5 x 6 = -30
-5 + (6) = 1
x2 + 1x - 30 = 0
(X - 5 ) (X + 6)
To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:
x2 + 1x - 30 = (X - 5 ) (X + 6)
Answer:
Step-by-step explanation:
Answer:
(6,8)
Step-by-step explanation:
midpoint=(x1+x2)÷2,(y1+y2)÷2
a(4,15) b(8,1)
x=4+8=12÷2=6
y=15+1=16÷2=8
Answer=(6,8)
In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4).
They are not congruent because each angle is a different measure.
Hope this helped! :)
