Stephen buys a melon and divides it into 6 servings. He eats 1/3 of the melon over the weekends. How many slices of watermelon d
1 answer:
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Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3
Answer:
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two <em>axes</em> meet at the origin, where the coordinate point is equal to .
So, you can count backwards once from the origin to get your x-value ⇒ and count up upwards four times from
to get your y-value ⇒
.
Finally, place these in a coordinate point ⇒
.