Answer:
B.6
Step-by-step explanation:
3 + 2x + 22 = x + 17
Combine like terms
25 + 2x = x + 17
Subtract 17 from both sides
8 + 2x = x
Subtract 2x from both sides
8 = -x
Divide both sides by -1
x = -8
Substitute -8 for x in 2x + 22 to find value of QR
2(-8) + 22
Multiply
-16 + 22
Add
QR = 6
First one (x,y)=(0,-25/2) Second one (x,y)=(0,-26/3
Add the two together and divide the answer by 137.16 add it together
Absolute value does not include direction, therefore, does not have a negative sign. Always positive.
The distance between 10 and -4 is 14.
I showed why in the attachment below.
So, since we do not include the sign, your final answer is 14.
Final answer: 14
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 )