Q1) Find the domain of the following function: f(x,y) = x^2 / y. a)All real numb

1)b)All real numbers except y=0 2)b f(x,y,z) = x+y 3)b-The path of steepest ascent is always perpendicular to the contour lines. 4) a- True

ID: 2833056 • Letter: Q

Question

Q1) Find the domain of the following function:

f(x,y) = x^2 / y.

a)All real numbers

b)All real numbers except y=0

c)All ordered pairs (x,y) in R^2

d)All ordered pairs (x,y) in R^2 except those for which y = 0

Q2)Which of the following is an example of an equation for a multivariable function?

f(x) = (x^2, sin(x), 3x)

f(x,y,z) = x+y

f(t)=

d- All of the above

Q3)Which of the following properties are true of a path of steepest ascent? (More than one value may be correct)

a-The path of steepest ascent is always parallel to the contour lines.

b-The path of steepest ascent is always perpendicular to the contour lines.

c-The path of steepest ascent always minimizes the horizontal distance covered for greatest vertical gain.

d-The path of steepest ascent must always be a straight line.

Q4)

The distance between the level curves in a contour plot indicates the steepness of the graph.

f(x) = (x^2, sin(x), 3x)

f(x,y,z) = x+y

f(t)=

d- All of the above

1)b)All real numbers except y=0

2)b f(x,y,z) = x+y

3)b-The path of steepest ascent is always perpendicular to the contour lines.

a- True

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