Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx² – 3, xs0 f(x) = l3 - x2, x>0 21

Q: Find the extreme values of the function f on the interval [-5, 13]. If an extreme value does not…

A:

Q: Describe the x-values at which f is differentiable .

A: Given: fx=x2x2-4 To find the points where the function f(x) is differentiable.

Q: 10 f(x) = g(x): for a x+1 nction g?

A:

Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: JA di is concave downward. Find the interval on which the curve x) - 6+ 8t

A:

Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

A:

Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

A:

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: Find the absolute extrema of f(r) = x/4 x on the interval [-1, 2]

A:

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: 5.) Where is the function l(x) = + – 2x + 10 concave up? Concave down? |3D

A:

Q: 2. (a) Define what it means by for y = f(x). %3D

A:

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Can you help me describe the x-values at which the function is differentiable? (Enter the answer…

A: Given function is y=x2x2-81

Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable.

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: The function y=(x-4)/(x+2) is discontinuous at x equals? O -2 O 1 O 2

A:

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: Consider y = xe^x on the interval [-5, 0]

A: In order to find global minima of the function, check the values of the function at end points and…

Q: r(y) = Vy? – 6y ,2 бу

A: Consider the given function as ry=y2-6y5 Simplify as ry=y2-6y15

Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

A:

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: Q1: Use third order Lagrange interpolation to Find the value of f(x) when x = 27

A: Given the data

Q: Find the interval on which f(x)%= -X xe is increasing. a. (-00,1] b. (-0,2] c.(-0,3] d. [1.2]

A:

Q: Estimate L4 and R4 over [0,7] for the function f(x) = 2x?. (Use decimal notation. Give your answers…

A:

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

A:

Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x&lt;y and x2+y2≤4

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Vhich of the following is NOT TRUE about the function f(x, y) = e² + e"?

A:

Q: 3. Consider the function for x +0 f(x) = 1 for r = 0. (a) Would you expect , f(x) dx to be defined?…

A: f(x)=1x     for x≠01       for x=0And we have to calculate for ∫-11f(x) dx And check it is defined…

Q: alculate L6 for f(x) = v5x + 2 over [1,3]. Give your answer to three decimal places.)

A:

Q: Find the absolute extrema of the function on the closed interval.

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: Determine the range of the following functions. Express your answers using interval notation. y =…

A: Topic-function

Q: Answer the following questions for the function, r(x) x2 + 4x A) Is the point (0,0) on the graph of…

A: Given: r(x)=2x-10x2+4x

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function fx=x3-6x2+23x-30 and f is concave upward f''&gt;0and concave  downward f''&lt;0

Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: help me understand this.    F(x)= 3x-x^3 what is/are the x-intercept(s)?  what is the y-int? what is…

A: Given, y = F(x) = 3x - x3 For x-intercepts, y=0 ∴ 3x - x3 = 0 =&gt;x(3-x2) = 0 =&gt;x = 0, √3, -√3 ∴…

Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

A:

Q: x+1 At what points is the function y = continuous? x2 - 6x + 5

A: To solve this problem we will use the concept of continuity of rational function.

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

A:

Q: Explain the steps you would use to determine the absolute extrema of f(x) = x – e²× on the interval…

A:

Q: Sx² - 1, xs0 f(x) = l1 - x², x>0 x > 0 15 10 3. -10 -15

A: Given function is                                                           f(x)=x2-1   ;    x≤01-x2…

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: 3 In x x² x > 1 f(x) = 2 x² + 3 – 1, x <1

A:

Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

A: