Question
Asked Nov 13, 2019
190 views

1. Use the Intermediate Value Theorem to nd an interval of length one that contains a root of f(x) = sin2(x) - x - ex. Then write the iterations of Bisection method to a n approximate root of f(x) within 1/8 accuracy.

check_circle

Expert Answer

Step 1

According to Intermediate Value theorem,

Any continuous function f has a solution in the interval [a,b] such that f(c)=L where c is the root in the interval (a,b) and L is the any value lying between f(a) and f(b).

Step 2

Calculate f(1) and f(2).

help_outline

Image Transcriptionclose

f(1) 1-8 =1+1-8 =-6 f(2) 2 +2-8 =16+2-8 10

fullscreen
Step 3

Apply intermediate theorem,

function f(x) is a continuous function on the closed interval [1,2] , f(1)=-6 and f(2)=10. Since -6<L<10 there is a number c in (1,2) such that f(c)=L by t...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Use the given information to find sin(s+t) cos s=3/5 and cos t=8/17, s and t in quadrant IV  sin (s+...

A: In IV quadrant, trigonometric functions like sine, cosine, tan and cot are negative and cos,sec are ...

question_answer

Q: A mother invests $10,000 in a bank account at the time of her daughter's birth. The interest is comp...

A: To find the net worth of the investment under the given conditions (of compound interest)

question_answer

Q: Justin's boat travels 105 km downstream in 3 hours and it travels 135 km upstream in 5 hours. Find t...

A: To solve for the required speeds from the given data

question_answer

Q: Assume that each gallon of Deluxe Vanilla uses 2 quarts of milk, 2 quarts of cream, and 3 ounces of ...

A: Let x = Amount of deluxe vanilla to be producedy = Amount of regular vanilla to be producedz = Amoun...

question_answer

Q: Use simplex method to solve the problem.

A: Consider the given question,The solution of the given problem by using the simplex method as follows...

question_answer

Q: Linear algebra. please answer part (b)

A: The determinant can be calculated as:

question_answer

Q: Adam wishes to have ​$19,000 available in 22 years to purchase a new car for his son as a gift for h...

A: Recall the following fact.

question_answer

Q: 1. Parts a,b,&amp; c

A: 1 a,b,c) To solve the first differential equation by suitable coordinate transformation and power se...

question_answer

Q: f(x)=2x3 + 3 What is the vertex? What is the domain and range?

A: The Vertex Form of a quadratic function can be computed as follows.