Answer:
Positive 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. x is treat any other variable as a constant.
dz/dx=0-2x-0
dz/dx=-2x
Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.
Since this result is negative, it mrans as x increases z decreases.
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. y is treat any other variable as a constant.
dz/dx=0-0-2y
dz/dx=-2y
Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.
Since this result is positive it mrans as y increases z decreases.
(8)2-(3x)2 is the correct formula
Answer:
B. -2.3
Step-by-step explanation:
It looks like the graph goes down about 7, and over 3, so B makes sense.
Answer:
The strip of 16 by 14 inches.
Let x be the corner of the square cut
Then the box would have height as x, length 16-2x and width 14-2x
Hence volume =
Use derivative to test to find x for maximum volume
V'(x) =
v"(x) =
Equate first derivative to 0
Solutions are
x= 2.483 and x = 7.517
Practically cutting more than 7 inches is not possible from 14 inches dimention
Hence 2.483 is the side of square and maximum volume
= 247.508
Step-by-step explanation:
Hope this helps!
