Tell whether the enumerated function is linearly dependent or linearly independent using wronskian.

Q: Jxzy³ = 5 %3D

A:

Q: Sketch the graph of a smooth function ƒ and label a point P(a, ƒ(a)) on the curve. Draw the line…

A: The aim is to find the graph of a smooth function and represent the line which shows the linear…

Q: Tell whether the enumerated function is linearly dependent or linearly independent using wronskian.

A:

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

Q: Describe what is meant by a piecewise linear function.

A: A piecewise linear function is a function composed of straight-line sections. It is a…

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Draw an example of a function that's not invertible, and explain why your answer works.

A: Given We have to draw an example of a function that is not invertible

Q: uppose that during the period 1990–2001, U.S. imports of pasta increased from 270 million pounds in…

A: (a) It is given that the imports of pasta in 1990 is 270 million pounds. So, the initial value is…

Q: What are Linear Functions?

A: Linear functions:                                The functions whose graph is a straight line in an…

Q: Which is always a characteristic of the graph of a linear function?

A: Explanation of the solution as follows:

Q: show steps please

A:

Q: What is a piecewise linear function?

A:

Q: function is continuous.

A:

Q: = Find a continuous function

A:

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: What is the definition of gradient of a function? Give an example

A:

Q: Determine if the following sets of functions are linearly dependent or linearly independent.

A:

Q: Determine if the given set of functions are linearly independent.

A:

Q: Find the linear function with the following properties.

A: A linear function is in the form of y = f(x) = mx+c where m is slope and c is y-intercept.

Q: Define Wronskian of Linearly Dependent Functions?

A: We have to define the Wronskian of linearly dependent functions: Let f1 ,f2 ,...,fn be n real or…

Q: Describe the process of linearization of a function f(x) at a point x = a, and explain how it can be…

A:

Q: Differentiate the function.

A: we have bee given the equation  u=t23+2t3 it can be written as  u=t21/3+2t3

Q: One of the following is a set of linearly dependent functions on the interval  (-∞,∞)

A:

Q: Derive error formula for functional relation?

A: We have to derive derive error formula for functional relation

Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: Determine the Homogeneity of the functions. If it is Homogeneous, state the degree of the function.…

A: The given function is: f(x,y)=1y+x Determine the Homogeneity of the function.

Q: Evaluate the piecewise function at the given values of the independent variable.

A:

Q: Find the maximum and minimum values of the function

A: Given,          g(θ)=3θ-9sinθ  on 0, π

Q: Differentiate the function. g(x) = In(xe-Sx)

A:

Q: Create a linear function over [2,4] that has an area of zero.

A: To create a linear function

Q: Construct a function that is undefined at points 2,3 and T.

A:

Q: Which of the following is an example of a continuous variable?

A: Here use basic of continuous variable and discrete variables

Q: linear functions or not?

A: Given,           A table is shown below :

Q: One of the following is a set of linearly dependent functions on the

A:

Q: State the properties of the Bassel function.

A: Here we to state the properties of the Bassels Function.

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: Write an expression for the linearization of f at a

A: Given:Linearization of  f at a

Q: Analyze continuity of the function.

A: Before going to the continuity, we will be finding the domain of the given function. Note that the…

Q: Determine the set of points at which the function is continuous

A: f (x, y, z) = sin-1 (x2 + y2 + z2) = t (Let's say)Hence, sin t = (x2 + y2 + z2)

Q: What is the linear function?

A:

Q: Create a linear function over [-3,-1] that has an area of zero.

A:

Q: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

Q: What are Continuous Variables?

A: Continuous variables are numeric variables that have an infinite number of values between any two…

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A:

Q: {x+ 2x³,3+x, 1– x} on the interval [–1,1]

A: The given set of functions are: x+2x3,3+x,1-x and the interval is -1,1

Q: Define Linearly Dependence and give on example

A: