Divide 30 by 10. 30mph/10seconds = 3mph/seconds
<span>r=<span>e^θ</span></span>
using polar coordinates
<span><span>x=rcos(θ)=<span>e^θ</span>cosθ
</span><span>y=rsin(θ)=<span>e^θ</span>sinθ
</span></span>Horizontal tangents occur where <span><span><span>dy/</span><span>dx</span></span>=0</span><span> and vertical tangents occur where
</span>
<span><span><span>dy/</span><span>dx</span></span>→∞⟹dx→0</span><span>.
</span>
<span><span>dy/</span><span>dx</span></span>=<span><span><span>dy/</span><span>dθ/</span></span><span><span>dx/</span><span>d<span>θ
</span></span></span></span><span><span>dy/</span><span>dx</span></span>=<span><span><span>e^θ</span>cosθ+<span>e^θ</span>sinθ/</span><span>−<span>e^θ</span>sinθ+<span>e^θ</span>cosθ
</span></span>So horizontal tangents occur where
<span><span><span>e^θ</span>cosθ+<span>e^θ</span>sinθ=0</span><span>⟹θ=<span><span>−π/</span>4
</span></span></span>Vertical tangents occur where
<span><span>−<span>e^θ</span>sinθ+<span>e^θ</span>cosθ=0</span><span>⟹θ=<span>π/<span>4</span></span></span></span>
Answer:
Step-by-step explanation:
We are given that
We have to find the missing part.
Using the formula
Using the formula
Now,
Answer: 1. it is being rotated by -180 degrees.
2. two different ways to get from a pre image to a image is to dilate and rotate it.
Step-by-step explanation:
9514 1404 393
Answer:
- 7 quarters, 14 dimes, 7 nickels total $3.50
- $0.80 will remain
Step-by-step explanation:
a) 1/4 of 28 = 28/4 = 7 coins are quarters.
2/3 of (28 -7) = (2/3)(21) = 14 coins are dimes
The remaining 28 -7 -14 = 7 coins are nickels
__
b) The amount of money in coins is ...
7×$0.25 +14×$0.10 +7×$0.05 = $3.50 . . . in coins
__
c) 2 packs of cards at $1.35 each will cost 2×$1.35 = $2.70. After the purchase, the remaining money would be ...
$3.50 -2.70 = $0.80 . . . remaining