Question: Problem one: The piecewise function 22 if ()2 if 03 if 020 ax f x x x x x x is continuous at 0x no

Problem one: The piecewise function 22 if ()2 if 03 if 020 ax f x x x x x x is continuous at 0x no matter what the value of a is. But theres only one value of a for which it is differentiable. Your job is to determine the a by performing the following steps. a) Verify that the function is continuous at 0x by applying the formal three-part definition of continuity as discussed in Chapter Two. As part of this, it must be very obvious what is being evaluated to produce the answers. State the type of discontinuity.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

X 951961..: "Towards a winter tra X + - C ximera.osu.edu/mooculus/higherOrderDerivativesAndGraphs/exercises/exerciseList/higherOrderDerivativesAndGraphs/exercises/higherOrderDerivatives1 H Men Custom...

please solve the questions in the pictures! 1 1. Which of the following values would be obtained using 10 circumscribed rectangles of equal width (an upper sum) to estimate gxzdx 7 (4 points) O oars...

14. [OIZ Points] DETAILS PREVIOUS ANSWERS SCALC8 2.8.048. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTH Two people start from the same point. One walks east at 6 mi/h and the other walks northeast at 1...

Math 104A Homework #4 Instructor: Lihui Chai 1. Write a code to compute a natural spline S(x) which interpolates a collection of given points (x0 , y0 ), (x1 , y1 ), ..., (xn , yn ) where x0

\f\f3. a) potential function = x2 +y 2 +z 2 ; magnetic force M = y 2 zi+z 2 xj+x2 yk i) Grad = i+ j+ k x y z Note that : = 2x = 2y = 2z x y z Hence, Grad = 2xi + 2yj + 2zk M M M ii) Div M = + + x y z...

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

1 Multivariable functions and vector geometry Due date and time: Wednesday, June 7th at 9:30 AM in lecture Please ensure that you have read and understood the document \"Homework Guidelines" on the...

hello help me with this pleaseee Subject : Gen Math 1 In a relation. what do you call the set of y-values? A Function C Domain B Range D Piecewise 2 What is the domain of the function shown by the...

Find (1) (ii) using method of choice or the indicated technique in the bracket. x +4x (Quotient rule) 2x-1 y = (2x - 1) (chain rule) y = [3 marks] [2 marks]

Write a single linear equation in three variables that has (-3,5,-5) as a solution.

Chevy just began production of 1 , 0 0 0 units of their SUVs. Which of the following best describes the journal entry to account for this? A . Debit Work in Progress & Credit Finished Goods B . Debit...

Kashmir Enterprises, an Indian carpet manufacturer, begins the calendar year with the following Indian rupee (INR) balances: Cash 920,000 Accounts payable 420,000 Inventory 640,000 Owners equity...