Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer: I don’t think so, it’s multiple choice.
Step-by-step explanation: A. =−2−20 B. =2−8
C. =−2−1 D. =2−20
Answer:
Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:
So,
you can work the equation backward now and you will get your original equation.
Answer:
127 if it says to use 3.14, 200 if it does not ask to use 3.14
Step-by-step explanation:
C=
Substitute C for 400
400=2*r
400=2r
divided both sides by 2
Answer is 200
It would take you 35 minutes.
Since it takes 10 minutes to peel 4 potatoes, you can assume it would take 30 minutes to peel 12 potatoes (mulitiplying both numbers by 3). Then you'd add 5, instead of 10 because you are peeling 2 more potatoes than 12, instead of peeling 4, you'd divide 10 by 2 to get half the time it would take to peel half as many potatoes. Finally, add 30 and 5 to get you final answer of 35.
I hope this helps!
