If f(x, y) = xy, find the gradient vector ∇f(2, 5) and use it to find the tangent line to the level curve f(x, y) = 10 at the po
int (2, 5). gradient vector tangent line equation Sketch the level curve, the tangent line, and the gradient vector.
1 answer:
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You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:
Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
p/2 - l = w
You replace w with the equation above p/2 - l = w
Multiply out the L.
Plug in all your numbers a = 110 and p = 42
Move everything to the left side so
Factor.
Make each parenthesis set equal to 0.
Add.
By doing this you solve for both the width and length so the answer is:
w = 11 L = 10
Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be
Population () = 300,000.
Rate per year () = 3%.
Time () = 13 years.
Now, we put formula to get the population of the city in 13 years:
Therefore, the population of this city in 13 years is 440,550.