Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
22+26+28+30+39+44+62+63= 314
Divide the answer by the amount of numbers
=39.25
Answer:
n=5, n^2 = 36 now
Step-by-step explanation:
30.8 add it all up and divided how ever many number there are
Answer:
51 gal
Step-by-step explanation:
Find the area of the wall you need to paint:
12 m * 80 m = 960 m^2
Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):
1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2
960 m^2 * (1 ft^2 / 0.3048^2 m^2)
Square meters cancel out, we are left with square feet:
960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2
Now, find how many gallons of paint by dividing by 200 square feet:
10333.354 ft^2 / 200 =~ 51.66 gal
Round up to the nearest whole number:
51.66 =~ 51 gal
