Answer:
The maximum square footage of the family room is 225 square feet.
Step-by-step explanation:
From statement we know the combined area and the area of the living room, the maximum area of the family room is determined by subtracting the area of the living room from the combined area. All areas are measured in square feet:
The maximum square footage of the family room is 225 square feet.
Answer:
The minimum value of C is 20
Step-by-step explanation:
we have
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Using a graphing tool
The solution set of the constraints is the shaded area
see the attached figure
The vertices of the shaded area are (0,38),(9,2) and (12,0)
To determine the minimum value of C substitute the values of x and y of each vertex in the objective function and then compare the results
For (0,38) --->
For (9,2) --->
For (12,0) --->
therefore
The minimum value of C is 20
This question is incomplete, the complete question is;
Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at (5, - 1).
Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)
Choose the graph that shows the level curve and the gradient vector at (5, - 1).
options of the sketched graphs are uploaded along this answers
Answer:
Vg(5,- 1) = [ 1 ]i - [ 10 ]j
Option A is the correct graph for this Level
Step-by-step explanation:
Given that;
g(x,y) = xy²
we have to find gradient of this function at ( 5, -1 )
so
Δg(x,y) = dg/dx + dg/dy
d(g)/dx = y² , dg/dy = 2gx
therefore
Δg(x,y) = [y²]i + [2yx]j
Δ( 5, -1) = [-1²]i + [2×-1 ×5]j
=Δ(5, -1) = 1i - 10j
[ 1 ]i - [ 10 ]j
Therefore Option A is the correct graph for this Level
