Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
5+5(9b - 7)
FIRST CASE (JUST EVALUATION)
Given the expression
Therefore, we conclude that:
SECOND CASE (Finding the value of b)
Assuming we have to determine the value of b
As we have determined
so substituting in the equation
Add 30 to both sides
Simplify
Divide both sides by 45
Simplify
Therefore, the value of b = 2/3
Answer:
x=1/13 y=15/26
Step-by-step explanation:
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Answer:
angle KHL would be 80 degrees, because the angles next to it add up to 100 degrees, and they all have to form a supplementary angle.
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 )