Given f (x) = { kx – 3 if x < -1lx? + k_if –1

Answered: Image /qna-images/answer/2f0fdab6-406c-4ccf-86ce-b5db55efc794.jpg

Answered: Skx – 3 if x <-1 4² + k__if- 1< x'…

Math

Advanced Math

Skx – 3 if x <-1 4² + k__if- 1< x' Given f (x) Find the value of k such that lim f(x) exists. X--1

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

See similar textbooks

Related questions

Q: F- 05. Evaluate the integral of the following tabular data with (a) the trapezoidal rule and (b) Sim...

Q: find if the points (1, 2,0), (-2, 1, 1), and (0, 3, –1) form a right triangle, Explain vour answer.

Q: For which of the cases below do the given functions form a fundamental set of solutions of the corre...

A: i Given differential equation is y''−7y'+10y=0. Write the auxiliary equation which is given below m2...

Q: (x²+u)*

Q: 11: Which of the following statements are always true? 1) If A is an invertible 263 × 263 matrix the...

Q: Describe and sketch what kind of curve(s) you obtain. where z* is the complex conjugate of z. - |2* ...

A: Here, we need to find the set of points satisfying the equation in the complex variable z : ...

Q: 2. x'dy+(2xy- y)dx =0 Let the substitution v=2; y= vx, dy= vdx + xdv

Q: Compute the Laplace transform of f (t) = te^−3t directly from the integral definition

A: The Laplace transformation is an integral transformation. When a function is piecewise continuous th...

Q: The Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The resp...

A: 1st we will make linear programming of given data and then solve it to find optimal solution

Q: Q 12.18 suppose 28 12 A = for the figure out out the. basis eigenspace corres ponding to d=1.

Q: (a) 4x + 5y -2 - 2х - 5у 3 (b) S 4x + 5y -1 1-2x – 5y -1 (1) Find the inverse of the (common) coeffi...

A: Solution

Q: / Using Stokes theorom, evaluate : s [czx-y)dx-yz dy-yzdz3, uhere C is the Circle x+y=1, Correspondi...

Q: Solve The Differential Equation Step by Step 4t²x" + (t²+1)x=0

A: Given differential equation is 4t2x''+(t2+1)x=0 (1) Let the solution be x=∑antn+m Then x'=∑a...

Q: What is the solution of the initial – value problem = x dx with y(0) = 1. and y'(0) = –2 ?

A: This is a problem of IVP.

Q: 5. [(6+3z)cos(1+4:)dz

A: To evaluate the given integral.

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this syst...

Q: Given the function f(x) = 6x2 + x – 70, determine its positive root using Fixed-Point Iteration Meth...

Q: Fill in the missing character "?" to match the rules of numbers and alphabetical sequence.

Q: Let us define xy(x² – y²) x² + y? f(x, y) = a. Verify that af _ y(xª – y4 + 4x²y?) (x² + y²)² b. Arg...

A: Given the function is fx,y=xyx2-y2x2+y2

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

A: Given: At=1361+0.25t-4.52+28, 0≤t≤11 To find: The intervals in which A is increasing and decreasing.

Q: Find the following matrix product, if it exists. 8 -2 -8 -3 -7 1 6. -2 - 1 4. -5 4 Select the correc...

A: Given expression is 8−2−81096−14−3−7−20−54. We have to find the product of the given matrix. 8−2−810...

Q: Q3: Use Chain Rule to differentiate the following functions 1. f(r) = (4x² - 3r + 2) 2 2. y = csc(4 ...

Q: Answer number 14 only

Q: Using the method of undetermined coefficients, the modified form of the trial Yp for the DE (D³+4D)y...

A: Let us consider the given differential equation y''+py'+qy=g(t) To determine the particular solution...

Q: ermine the value(s) of h such that the matrix is the augmented matrix of a 1 h 4 -5 15 - 24 ect the ...

A: Introduction: A system of linear equation Ax=b is consistent if det(A)≠0.

Q: Which of the following functions is homogeneous of degree 2/3. option I: 3 f(x, y) = /x² + y2 option...

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

Q: Suppose you want to interpolate the points (−1, −3), (0, 0) and (1, 3) by a polynomial. (a) What wil...

A: Given t = x y -1 -3 0 0...

Q: Suppose that the price of a home is $150,000.00 The bank requires a 10% down payment. Part A) 30 yea...

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-part...

Q: -3 4 -3 1 Let A = and B= 1 3 3 8 a. Find AB, if possible. b. Find BA, if possible. c. Are the answer...

A: Given matrix is A=−3413 and B=−3138. a We have to find the AB. AB=−3413−3138=2129625 Hence, AB=21296...

Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...

A: We can agree to the statement

Q: The Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The resp...

A: (b) Solution using Excel Solver is following

Q: Q which af fre following always true? are a) suppose that the ċharaicteristić palynomial of matrix t...

Q: What is the length of the major axis of the ellipse defined by the equation: x2 + 5(y – 2)2 = 5?

A: The given equation is x2+5y-22=5 To find the length of the major axis of the ellipse.

Q: Use the linear approximation to estimate Af = f(3.4) – f(3) for f(x) = : 1+x² (Use decimal notation....

A: Given function is fx=41+x2 and ∇f=f3.4−f3. Linear approximation formula is given by Lx=f'ax−a−fa Whe...

Q: he sum S34 0f the first 34 terms of the arithmetic sequence an 8(T n e formula Sn 2 (a1 + am). ||

A: In this question, the concept of the sequence is applied. Sequence A series is created by a sequence...

Q: Activity 4 Simplify the following expressions with rational exponents by filling in the boxes with s...

Q: 3s-16 3.) s2-24s+69

Q: Find a particular solution yp of the given equation. Primes denote derivatives with respect ס 2y" + ...

A: The given differential is non homogeneous differential equation with constant coefficient.

Q: Problem 7.3.4. Show that (n)=1 diverges to infinity.

Q: Find the inverse, if it exists, for the given matrix. 1 -1 3 1 3 2 -3 2 Select the correct choice be...

Q: Every summer, Ronald makes cranberry-pear jam with the fruit he collects from hi Last summer, he use...

A: the ratio of cranberry to pear in last summer is 3:5 therefore ratio of cranberry to the total conte...

Q: Suppose that a cup of soup cooled from 90°C to 50°C after 20 minutes in a room whose temperature was...

Q: Let'stry Is the following statement true or false? Justify your answer. If RS has endpoints R3, 5) a...

Q: Given a function whose graph is shown below. 1 0.5 -4 -3 f -0.5 -1.5 -2 Determine lim ƒ(x). x--1

A: f(x) be the function whose graph is given . To find out the limx-->(-1)f(x) .

Q: Separate variables and use partial fractions to solve the inital value probiem. Use ether the exact ...

Q: find the Laplace of the following functions and simplify the result. answer 1-5.thanks.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this syst...

Q: r gallon for regular gasoline and $0.50 per gallon for premium gasoline. Each gallon of regular gas...

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three sub-p...

Q: Also apply Residue theorem to find the coSTz? value of the integral . C:|z + 1| = 3 (z+1)2(z-2)

Question

Given f (x) = { kx – 3 if x < -1
lx? + k_if –1<x'
Find the value of k such that lim f(x) exists.
x--1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step q

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here