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.
I think it would be 72+4x=400
400-72= 328
328/4= 82
So the answer would be 82=x
Answer:
The number of movies purchased is 5
Step-by-step explanation:
40.00 + 3.50 = 43.50
43.50 + 3.50 = 47.00
47.00 + 3.50 = 50.50
50.50 + 3.50 = 54.00
54.00 + 3.50 = 57.50
so if you add 3.50 to 40, 5 times you'll get 57.50
Hope it helped
2464829438
The next number is 2,464,829,439
Answer:
56x^2 + 10^-11
Step-by-step explanation:
multiply the 7x and 8x and you get 56x^2
multiply the 10^-6 and 10^5-5 and you get 10^-11
