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
Answer:
3.13
Step-by-step explanation:
Because the 4 is in the hundreds place. The rule for the number would be less than five so round down. 4-1=3.
Answer:
22
Step-by-step explanation:
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 <em>=</em> 2
Then the answer would be -1.25
Part 2) <span>What is the surface area of this cube?
we know that
surface area of a cube=6*b</span>²
where b is the length side of a cube
in this problem
b=15 mm
so
surface area of a cube=6*15²----> 1350 mm²
the answer Part 2) is 1350 mm²
Part 3) What is the surface area of this cube?
we know that
surface area of a cube=6*b²
where b is the length side of a cube
in this problem
b=11 cm
so
surface area of a cube=6*11²----> 726 cm²
the answer Part 3) is 726 cm²
part 4) <span>What is the surface area of the rectangular prism represented by the net?
surface area=2*16*6+2*16*8+2*6*8----> 544 cm</span>²
the answer Part 4) is 544 cm²
Part 5) <span>What is the surface area of the wood block?
surface area=5*5+4*[5*8]/2----> 25+80----> 105 in</span>²
the answer part 5) is 105 in²