Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in terms of x and y. If =², then:

Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

A:

Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: Determine the values of x for which f(x) is discontinuous.

A: For x<=3, f(x)=3x-12 is continuous

Q: Identify and sketch the domain of f(x, y) = 4x² In x Y

A: For function to be valid denominator must be non zero and log has non-negative real numbers and…

Q: Determine whether the statement " If f is a function, then f(ax, ay) = a2f(x, y)" ,is true or false.…

A: If f is a function, then f(ax, ay) = a2f(x, y).

Q: Recall that to determine if f is differentiable at x =c you must do the following: • Verify that f…

A: We have to check the differentiability at x=-3  We have given a function

Q: d dx y' z' y" z"

A:

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: Let A = {x, y} and B = {w,z}. Describe all relations from A to B. Indicate which of these are…

A:

Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

A:

Q: Let Y;. Yz. --.. Y, denote a random sample from the probability density function e , y20, 0,…

A:

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: o f(x) f(x) is not a function because when x < 0 f(0) is undefined < 0 is undefined is defined

A: We have to complete the sentence.

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

A:

Q: f(x) – 10 • lim I – 1 = 6; • lim[g(x) + 2] = 5; • 3x < h(x) <r* + 2, for every x close to

A:

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

A:

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4