Find the value(s) of k that makes the function continuous over the given interval. a < k k < a S 3x – 1 if f(z) = 4x if k =

Q: Find the absolute maximum and minimum, if either exists, for the function below on the given…

A:

Q: 1. Find the local extrema of f(x) = x* – 2r2 +1, and state the intervals on which this function is…

A:

Q: The function if x E Q is 0 if x E R \Q continuous at every x E R. 1 f(x) =

A:

Q: Find a function f and a number a such that 6 + [ fO dt = 2x for all x> 0.

A: We differentiate both sides with respect to x to find f(x)

Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

A:

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

A:

Q: Find the value of the constant k so that f(x) is continuous for all real values of x where f(x) is…

A: Solution

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given: Since every differentiable function must be continuous.

Q: 9. Find the value(s) of k that makes the function continuous over the given interval. fx) = {3x + 4,…

A: Solve the question number 9 as asked by the user

Q: 1- Vx – 2 f (x) = x + 3, x – 3 k x = 3

A:

Q: 2. Find the absolute maximum and absolute minimum of the following function on the given interval.…

A:

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x&gt;1

Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

A:

Q: if I 2 1. Determine the constant k such that the function f(r) is continuous at I = 2.

A:

Q: -16 X-니 / x <4 fx

A:

Q: Determine if the given function is continuous on the given interval a. [2,5) , x <O f(x) = %3D 5x-8…

A: To determine whether the given function is continuous on the given interval.Interval=[2, 5)fx=1x,…

Q: Find the constant a such that the function is continuous on the entire real number line. S x + 5, x…

A:

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

A:

Q: Let x2-2x-3 f(x) = キ3 if For what Values of x is f Contin uo4s? Find the absolate min values of the…

A: Given function is

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

A:

Q: Find the value of k so that the function 5x+3 if x<3 f(x) =. kx2 if x 23 is continuous everywhere?

A:

Q: Find the value for k so that the function will be continuous at x = -1. S 9x - 18 l-x² - 4x – 4 + k…

A:

Q: 12. Find the value of k that will ensure that the following function is continuous at x = 3: x² + k…

A: As we know that the function is continuous at x=a if:   limx→a-f(x)=limx→a+f(x)=finite…

Q: Consider 12 – 2x +1 if r 1. Determine if the following functions are continuous on the interval I.…

A:

Q: 1. Apply the Parseval's identity to the function f (x) = x, –n < x < n

A:

Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or…

A:

Q: Find a value of the constant k, if possible, at which S ka² 1 - 2x + k r >-4 I <-4 f(x): is…

A:

Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

A:

Q: For what values of k will the function below be continuous for all x? x³, xsk h(x) = x², x > k 1 and…

A: The function is said to be continuous at x=k if limx→k-f(x)=limx→k+f(x)=f(k).

Q: 2. Determine the given function is continuous or discontinuous at t =-2 (t² + 2 6. t -2

A: Given information : t=-2

Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

A:

Q: 4) Find the value of the constant k so that the function (1 – k, if z<3, f(z) = 1– kr, if 123, is…

A: This question is related to limit and continuity of a function, we will use condition for a function…

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

A:

Q: if x 2 1. Determine the constant k such that the function f(x) = is continuous at x = 2.

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: Find the value of m so that the function f(x) will be continuous everywhere mx +2 f(x)%3D2X+mx-n 3.…

A:

Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this…

A: Given:→y=fx→y'&lt;0 for 4,8Then to find the nature of fx

Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: 18. Consider the function f (x) 5e2r. On what interval(s) is f (x) %3D increasing? On what…

A:

Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

A:

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

A:

Q: Find the value of k so that the function f(x) =- [ 5x+3 if x<3 is continuous everywhere? kx2 if x 23…

A:

Q: Find the value of k so that the function defined by f(x) =kr - 15 S2² + 25 x 5 |-

A: Given that, The function defined by fx=x2+25x≤5kx-15x&gt;5 is continuous at x=5. To find the value…

Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope x2 + 5 In (14) f(x) =| 히n 글미(구+ 5)…

A:

Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6

A:

Q: 2. Determine the given function is continuous or discontinuous at t=-2 (t² + 2 t -2 If f(t) = {6 t…

A:

Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.