When graph crosses y-axis, x=0
<span>-2x+2y=4
</span><span>-2*0+2y=4
2y=4
y=2
x=0, y=2,
so point is (0,2).</span>
We are given that:
(1) Femi earns 9.54 per hour. Therefore, if Femi works "h" hours, then, he will earn a total of 9.54h
(2) Femi earns 6.7 each time someone signs up for a credit card. Therefore, if "c" cards are sold, then, Femi will earn a total of 6.7c
Now, thw total amount of money that Femi earns "a" would be the summation of 1 and 2.
Based on the above, the equation the describes the amount Femi would earn this week is:
a = 9.54h + 6.7c
<u>Answer- </u>
The directional derivative of f(x,y) at (0,6) in the direction θ = 2π/3 is, 7.73
<u>Solution-</u>
The unit vector in the direction of the given angle is
Given that,
Gradient of f(x,y)
Gradient of f(x,y) at (0,6)
= <(-2)(6)(1) , (2)(1)> = <-12 , 2>
The directional derivative of f(x,y) at (0,6) is