Answer:
a) The gradient of a function is the vector of partial derivatives. Then

b) It's enough evaluate P in the gradient.

c) The directional derivative of f at P in direction of V is the dot produtc of
and v.
![\nabla f(P) v=(-4,-4)\left[\begin{array}{ccc}2\\3\end{array}\right] =(-4)2+(-4)3=-20](https://tex.z-dn.net/?f=%5Cnabla%20f%28P%29%20v%3D%28-4%2C-4%29%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C3%5Cend%7Barray%7D%5Cright%5D%20%3D%28-4%292%2B%28-4%293%3D-20)
d) The maximum rate of change of f at P is the magnitude of the gradient vector at P.

e) The maximum rate of change occurs in the direction of the gradient. Then

is the direction vector in which the maximum rate of change occurs at P.
Answer:
C: Reflection across the y-axis and a translation right two units.
Step-by-step explanation:
FLVS Geometry, eh? I did that class last year.
Anyway, when you apply a reflection across the y-axis, the original shape will flip to the upper-right quadrant because it got reversed in its x coordinates (x, y becomes -x, y). From there, all you have to do is translate two to the right.
Answer:
Step-by-step explanation:
We can use the regression line to model the linear relationship between x and y ... x and y because the correlation coefficient is not significantly different from zero. ... If r is significant and the scatter plot shows a linear trend, the line can be used to ... If r < negative critical value or r > positive critical value, then r is significant.
Answer:
2.375
Step-by-step explanation:
( 1.7 kg+2.1 kg+3 kg+ 2.7 kg)/4=2.375
I can’t see your choices, but this equation can be simplified to 5y + 5.
If you add the choices as a comment, I’m happy to help more.