Question: If the piecewise function given below is differentiable everywhere, what is the valueofa+b?f(x)={x2+bforx <1a2x3-x2forx1

If the piecewise function given below is differentiable everywhere, what is the valueofa+b?f(x)={x2+bforx<1a2x3-x2forx1

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!

Q:

Question 3 (10 points) For what value of a is the following piecewise function differentiable everywhere? f(20) Jax2 - 4, 3a x - 2x , x>1 a=-1 a=2 a -2 OFor no value of a, f (x ) will be...

Q:

Calculus : 3-7 3, $5 point) The graph of the derivative of a function g is shown below. Which of the 5' ('5 point) Consider the function f(x) : x3' Since f(5) m 0.076 and f(6) m 0.302, ollowing is...

Q:

Question 1 (1 point) Saved The function whose graph is given below is differentiable everywhere. N 1 -2 X -1 2 -1 -31 True False Question 2 (1 point) Saved The function f (x) = x - 2| is not...

Q:

Many diabetics need to control their blood sugar levels with insulin. A graph is given that shows blood sugar levels over time after insulin is given to a non-diabetic person at time, t = 15 minutes....

Q:

Which statement is true? of(x) = x + 3x + 6 is differentiable everywhere. of (x) = + is differentiable at x = 0. o Iff (x) is differentiable at x = c, the lim f ( xth ) -f(x ) can not be 0. h-c h o...

Q:

Hope this helps Problems Problem 1. Write a function called FS that returns the Fourier series of a given function to a given degree. You'll have to keep this as a separate function file so you can...

Q:

Mathematica problems Piecewise Cubic Interpolation without specifying derivatives In this part, you will improve upon the previous part in the following way. The aim is to construct a continuous...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

40. Find dy in terms of x and y for the function x + y = 6. dx y a. . X b. 6 dy 2 X N - + y c . a dy y dy 2 12 d. dry dx 2 d'y y e. dx 2 41. The function f(x) = x has two tangents drawn to it at the...

Q:

3/4/2 Consider the function f(x) = e* near x = 0. Find the linear approximation error when using the linear approximation to estimate e 0-45 O a.) -0.1183 O b.) 0.1183 ( C.) 1.45 ( d.) -1.45Identify...

Q:

a. How would you rule? b. Does this mean that the Tropes have to tear down their house? c. What issues might arise in enforcing the injunction? d. Would the easement permit the Johnsons to park a...

Q:

Rhonda deposits $5,600 in a savings account that pays 4 1/2% interests, compounded semiannually. a. How much interest does the account earn in the first six months? b. What is the ending balance...

Q:

Researchers have studied what sense more than any other sense? Smell Vision Hearing Taste

Q:

Wangshu puts $40000 in a savings account paying interest rate (2) = 8%. He withdraws the money after 34 months. How much money is in his account using a) the "Greedy Bank" method b) the "Practical"...