Yes.
Your solution is <em>a</em> correct way to solve it. There is more than one correct way.
X = 60 degrees.
This is because the perimeter of a triangle MUST add up to 180 degrees. Since this is an equilateral triangle (meaning each side is the same length) and each side is 60 degrees, 180-120 (120 because 60 x 2 = 120) = 60.
Answer:
1/5
Sorry that there isn't really an explanation
Answer:
Maximum rate change |f| = √65
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Step-by-step explanation:
Given that;
f(x, y) = 4y √x, (4, 1)
{ x=4 and y=1 }
Maximum rate of change occurs with the gradient vector;
f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]
we substitute in our value of x and y
f = 2(1)/√4, 4√4
f = 2/√4, 4√4
f = ( 1, 8 )
Maximum rate change |f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)
Maximum rate change |f| = √65
Direction = f / |f|
we substitute
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Answer:
8/5 or 1.6
Step-by-step explanation: