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:
Y = 12
Step-by-step explanation:
x + 1/3y = 4
Multiply both sides of the equation by 3.
3 ⋅ 1
3 ⋅ y = 3 ⋅ 4
Simplify both sides of the equation:
1. Simplify both sides of the equation.
2. Multiply 3 by 4
How to simplify:
Cancel the common factor of 3
Rewrite the expression.
Multiply by 1
y = 3 ⋅ 4
Multiply 3 by 4
(12)
Answer:
The answer is soooo simple
Step-by-step explanation:
its c
Yes they do. In order to do this you must make the fraction 70/2 and 105/3. If you divided each one of those you get 35 for both which means it's a proportion.
I do not understand ???????????????????