Determine the maximum gradient/slope of the function f(z,y) = ² - 32² H at the point (z, y) = (-3,-3). Also indicate the direction in which the maximum sloce occurs as a unit vector. You can use the fact that V (n.)-(-92²,2%) State your answers exactly. Note that you need to use the square brackets "T" and "T" typed from the keyboard to enclose vector responses. =

Q: shifts x up 3 and reflects it about the y axis

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A:

Q: The line through(2,2)parallelto y=-5 x+1 18.

A: first we find the slope and passing the point ,equation of the line

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A:

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Q: 2) Find the Cartesian coordinates of the following : Зл. -), (5,7) ,(10,5) , (3.5) , (-2, 5) , (4.-)…

A:

Q: A Particle start from the point (-2,-3) and to the point (-6 -7) Find the change ?in coordinates of…

A: A particle start from point (-2,-3) and to the point (-6,-7).

Q: Plot the given point(-1, 4) in a rectangular coordinate system.

A: Given: Point (-1, 4)

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Q: A(1,2), В(—1, —-1)

A:

Q: Write the equation of the line given the following points

A:

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Q: Plot and then label the points A(0, - 3), B(3, - 4), C(5, 6), D(- 2, - 5), and E(- 3, 5).

A: Given the pouints are A(0,-3),B(3,-4),C(5,6),D(-2,-5) and E(-3,5).