Answer: Suppose we have four ants, initially at rest, at the four corners of a square centered at the origin. They start walking clockwise, each ant walking directly toward the one in front of him. Suppose also that each ant walks with unit velocity, derive a differential equation that describes the trajectories.
let f(r)=sin^3r/cos^3r
so f(-r)= (sin(-r)/cos(-r))^3
=(-sinr/cosr)^3
=-f(r)
so it is odd function
Answer:
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Step-by-step explanation:
Answer:
cost of a drink = $9.25
cost of a popcorn = $6.25
Step-by-step explanation:
Bella spends a total of $53.75 on 4 drinks and 3 bags of popcorn
Piper spends a total of $61.25 on 2 drinks and 7 bags of popcorn
Let d represent drinks and p represent popcorn
4d + 3p = $53.75
2d + 7p = $61.25 multiply second equation by -2
-2 × (2d + 7p) = $61.25 ➡-4d - 14p = -$122.50
Now add two equation
-4d - 14p + 4d + 3p = -$122.50 + $53.75 add the like terms (remember -4d will eliminate 4d)
-11p = −$69.25 ➡ 11p = $69.25 divide both sides by 11
p = $6.25 is the price for a bag of popcorn we can use this information to find the price for a drink
4d + 3p = $53.75 replace p with $6.25
4d + 3×6.25 = $53.75
4d + 18.75 = $53.75
4d = $37
d = $9.25