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:
8
Step-by-step explanation:
Answer:
x=5.3
Step-by-step explanation:
.3(5x-1.5)=7.5
1.5x-.45=7.5
1.5x=7.95
x=5.3
2.25 + 8.50x = 50
8.50x = 50 - 2.25
8.50x = 47.75
——— ———
8.50. 8.50
x = 5.6 hours
Hope that helps :)
Answer: OPTION C.
Step-by-step explanation:
The missing options are:
In order to solve this exercise you need to remember the following:
1. The Distributive property states that:
2. The multiplication of signs:
In this case the exercise gives you the following equation:
Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.
Then, you must multiply everyting inside the parentheses by 
.
Therefore,based on the explanation, you know that the correct use of the Distributive property is:
