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WorksheetsQuiz 1: Multivariable Function
Total questions: 15
Worksheet time: 15mins
Which one of these -- is an example of multivariable function?
velocity which depends on displacement and time
weight which depends on mass and gravitational force
y = 3x3 + 2
Choose the false statement from the following below:
In f(x,y) : x and y are dependent variables
From a graph, we can determine the domain as in x - axis
The domain is the set of values for which a function is define
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. True or false?
True
False
What is the function that represent in the graph above?
exponential function
squareroot function
logarithmic function
What is the domain for cos x?
x = { x : -2π ≤ x ≤ 2π, x ∊ ℝ }
y = { y : -1 ≤ y ≤ 1, y ∊ ℝ }
x = { x : x ∊ ℝ }
What is the range for the graph y above?
x = { x : x ≠ 0 , x ∊ ℝ }
y = { y : y ≠ 0, y ∊ ℝ }
y = { y : y ∊ ℝ }
Differentiate y = π3
y' = 3π2
y' = π4/4
y' = 0
Find zₓ if given z = x³ + y³ - 2x²y ?
3y² - 4xy
3x² - 2x²
3x² - 4xy
Find fᵥ if given f (u,v) = uv sin (3u + 4v)?
4u cos (3u + 4v)
u sin (3u + 4v) + 4uv cos (3u + 4v)
3v cos (3u + 4v) + u sin (3u + 4v)
Determine the graph of the function
Choose the equation for this surface
Find the domain and range of this function
D: x > 0, y > 0, R: z >= 0
D: All Reals , R: z >=1
D: All Reals , R: z >=0
D: x > 0, y > 0, R: z >=1
Determine the graph of
Match the surface to its level curves
