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
The method should be to a<span>ssign numbers to each patient and then use a random number generator to choose one hundred patients to survey. </span>
Answer:
Ella has the greatest return in the current year.
Step-by-step explanation:
Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)
Besides,Ella's return on the stock investment in the current year is computed thus:
Ella's return= 5%*1000*$50=$2,500
In addition,Unique's dollar return on the investment is computed as follows:
Unique's return on investment=4%*2000*$20=$1,600
From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each
It says to round to the nearest whole number so it would be A. or D. In the end It would be D. because 22.73 is closer to 23 then 22.
A: (-4,1), B(1,-3), C(0,2), D(5,0), E(-3,6) F(-4,-5), G(0,-4), H(2,4) I(-2,3), J(5,-2)
Quadrant 1: D, H
Quadrant 2: A, I, E
Quadrant 3: F
Quadrant 4: B, J
on the x axis: D
On the y axis: G, C