Slope. perp. -3/5
y - 7 = -3/5(x + 5)
y - 7 = -3/5x - 3
y = -3/5x + 4
Answer:
165432
Step-by-step explanation:
165432 - 65432 = 100000
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:
3888pi cm^3 or 12214.5122372 cm^3
Step-by-step explanation:
To being, let's list out what we know
The volume of a sphere is
V = 4/3(pir^3)
But this is only half of a sphere, so the volume of it should be
V =2/3(pir^3)
With the diameter of the shape being
d = 36
We will first need to find the radius to use the formula above
r = d / 2
= 36 / 2
= 18
Now, let's start plugging in values
V = 2/3(pi18^3)
= 2/3 ( 5832pi)
= 3888pi or 12214.5122372
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
