N(2x+y) = x +1
Differentiate both sides, using the Chain Rule on the left side.
(1 / (2x + y)) * d(2x + y)/dx = 1
(1 / (2x + y)) * (2 + dy/dx) = 1
<span>Rearrange to isolate dy/dx.
</span>
Answer: Area = 1500 feet^2
Step-by-step explanation:
Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet
Let length = x
Let width = w
The length of the garden,x is 10 feet more than twice it's width, w. This means
x =10+2w---------1
Perimeter = 2x+2w =170---------2
Putting equation 1 in equation 2,
2(10+2w) +2w= 170
20 + 4w +2w = 170
6w = 170-20=150
w = 150/6
= 25feet
Put w=25 in equation 1
x =10 +2×25= 10+50=60 feet
Area = length × width = x×w
= 60×25=1500feet^2
Answer: The simplified version of this is 14d²c³√66
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
f(10)
An exponential function is represented as:
impleies that:
--- (1)
implies that
--- (2)
Divide (2) by (1)
Take 4th root
Substitute in
Solve for (a)
f(10) is calculated as:
Y=mx
m=amount of time per day studied
y=time
x=number of days
we have
60=m(4)
divide by 4
15=m
y=15x
