6. Let g(x) = Find the domain of g(x).

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

A:

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

A:

Q: Determine the absolute maximum and minimum values of f(x) = x²e on x = [-5, 1].

A: Given: fx=x2ex on x∈-5, 1 To find the absolute maximum and absolute minimum of the given function on…

Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

A:

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

A:

Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

A:

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

A:

Q: How do you solve question 4?

A: We are given the function, f(x) = x4 – 2x2 + 3x. Here, we need to show that the function f(x) has a…

Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

A:

Q: 4. Using at 7 points, graph the function f(x)=2x

A:

Q: 5. Use the Intermediate Value Theorem to show that the function f(x) = x³ + x² – 1 has a zero…

A:

Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

A:

Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

A:

Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

A:

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: f(z) = z2

A: We have to show the given function is not analytic at any point.

Q: Two key points on the graph of g(x)=8^x are (1, _) and (0,_)

A: Given the function  g(x) = 8x we need to find it's two key points with given information. Now let (1…

Q: 66. What will be the function g(x) resulting from normalizing the function f(x) = x³ − x4 defined in…

A: To find : function gx resulting from normalizing the function fx=x3-x4 defined in the domain 0, 34

Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: f(x) = x – !

A:

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: 8. Determine the natural domain of the function Vx–1 f (x)= x²-3x+2 in interval notation.

A:

Q: For the function f(x) = x3 - 3x. Its local maximum is                 which occurs at ( Its local…

A: Given     fx=x3-3x

Q: . Find the maximum and minimum values of f(x)= x*-3 x-1 on [-2,2].

A: fx =x4-3x3-1 , -2,2 first find critical point of given function  f'x =4x3-9x2 Now set first…

Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

A:

Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

A:

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

A:

Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = -lxl.

A: The given function is fx=x.

Q: 46. Let f(x) = x³ - 4x² . Find the points on the graph of f where the tangent %3D line is…

A: 46. The given function is fx=x3-4x2. Differentiate fx with respect to x. f'x=ddxx3-4x2=3x2-8x Now,…

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: between the graph of f(x) = x²- 2x and the x axis over the indicated interval [1, 2]

A:

Q: Find the minimum and maximum values of f (x) = x² – 8x + 10 on the interval [0, 7). Sketch the graph…

A: f(x) = x2 -8x+10

Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

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

A:

Q: Find the absolute maximum and the absolute minimum of f(x) = x^3 − 3x^2 on the interval [−1, 3].

A: