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
The equation would be 8x +3 + -19. Substitute your given answers in. Your answer would be B. Negative 2
Answer:
Yes the y value an have more than one x value BUT the x value can only have one y value.
Step-by-step explanation:
example if we have 1 and it goes to 2 the 1 cant go to another number such as 3.. if we had another number like 4 and it goes to 2 like the 1 it would be acceptable
hope this helped and is not to confusing-
The required value is
Step-by-step explanation:
Weight of ants =
Weight of elephant=
We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.
The equation given is:
We need to find a:
Solving:
So, the required value is
Keywords: Scientific Notation
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The answer would be 1 were to estimate