Question: suppose that f(x) is a continuous function on the interval [0,pi]. if f(x) = (sinx) x for (0,pi], then what is f(0) a) e b)

suppose that f(x) is a continuous function on the interval [0,pi]. if f(x) = (sinx)x for (0,pi], then what is f(0)

a) e

b) 0

c) e-1

d) -1

e) 1

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:

MATH 3A03 Assignment #5 Due: Thursday, November 19, in class 1. Let f (x) be the function dened on the interval [0, 2] such that f (x) = 1 for 0 x 1 and f (x) = 2 for 1

Q:

\fQuestion 6 Suppose that f: R>R is a continuous function, satisfying f(5) = 8. What is the value of the limit lim5 at) ? x> O The limit does not exist. Question 7 Choose the correct option for each...

Q:

Incorrect. Suppose f (x) is a continuous function for all x. What is lim f (x)? If the limit does not exist, choose NA. x-0 lim f (x) =Suppose f (x) is a continuous function for all x. What is lim f...

Q:

2. Suppose that In 2 0 is a sequence of integrable functions that satisfies lim In (x) d.x = 0. n-too Ja Show that if f : [a, b] -> R is integrable on [a, b], then lim f(x)gn(x)dx = 0.3. Suppose that...

Q:

1. Simplify the expression sin(tan '(r)). 2. Does lim 1 4-5 2x + 10 exist? Explain your reasoning. 3. Determine lim VI - 9 I ko 20 -6 4. Show that there exists at least one solution to the equation...

Q:

Below is the graph of the derivative f x of a function defined on the interval 0 8 You can click on the graph to see a larger version in a separate window Refer to the graph to answer each of the...

Q:

(b) Given that f is a continuous function on the interval [0, 10], and the following: 7 If (2) dac = 5, If (x) dac = 12, ff (x) dx = 3, S f (ac) dac = 1 NC 4 2 10 10 then S f (x) dx.= 0

Q:

Determine whether the following statements are true and give an explanation or counterexample. a. Suppose that f is a positive decreasing function, for x > 0. Then the area function is an increasing...

Q:

Suppose that f x is an invertible function that is has an inverse function and that the slope of the tangent line to the curve y f x at the point 2 4 is 0 2 Then OA The slope of the tangent line to...

Q:

MATH 2500: TAKE HOME 05 (30 points.) NAME: DUE: Wednesday, June 24th by 8 AM. DIRECTIONS: To receive full credit, make sure your work is neat and complete. 1. It takes 2 minutes for the 160 foot...

Q:

1 2 3 4 5 6 7 cube dimension LxWxH (mm) Surface area (mm^2) volume (mm^3) SA/ V Volume undiffused- white (mm^3) Volume diffused % total volume diffused a) 15x15x15 1350 3375 0.4 0 3375 100% b)...

Q:

A 1-cm diameter steel cable with a yield strength of 480 MPa needs to be replaced to reduce the overall weight of the cable. Which of the following aluminum alloys could be a potential replacement?...

Q:

Using the modified bond duration of 2 . 4 8 7 years, if you anticipate bond yields will decrease by 1 . 4 percentage points, then the price of the bond will increase by: 2 . 8 5 5 percent 3 . 1 6 8...

Q:

Angel Hair Limited gathered the following reconciling information in preparing its November bank reconciliation: Cash balance per books, November 30 $36,100 Electronic collection of account 7,200...