Becky and 3/4 gallon of gasoline into her snowthrowers empty fuel tank she uses 1/4 gallon for the snowstorm on Friday and then
1 answer:
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Answer:
Step-by-step explanation:
A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,
And the factor is ,
Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be 
.
You're minimizing
subject to the constraint 
. Note that 
and 
attain their extrema at the same values of 
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be 
.
You're minimizing
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
The squared distance is then
Answer:
r = 5
Step-by-step explanation:
The formula for volume of a cone is
h = 6
V = 50π
r = 5