Question: 2 f(x) = 3 + x 2 x 3 a. Show that the equation f(x) = 0 has a root, , in the interval

2 f(x) = 3 + x2 − x3

a. Show that the equation f(x) = 0 has a root, α, in the interval [1.8, 1.9].

b. By considering a change of sign of f(x) in a suitable interval, verify that α = 1.864 correct to 3 decimal places.

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

f18 0408 0 f19 0249 S... View full answer

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 Pearson Edexcel A Level Mathematics Questions!

Q:

f(x) = 1 x cos (x 2 ) a. Show that the equation f(x) = 0 has a root in the interval 1.4

Q:

f(x) = 4 cot x 8x + 3, 0

Q:

h(x) = 3 x cos x 1, where x is in radians. a. Show that the equation h(x) = 0 has a root, , between x = 1.4 and x = 1.5. b. By choosing a suitable interval, show that = 1.441 is correct to 3...

Q:

Week 2 - Discussion 4343 unread replies.4545 replies. Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will...

Q:

Suppose that f (0) = 2 and f (x) 3 for all x > 0. (a) Show that f (4) 14 by considering f on the interval I = [0, 4]. (b) Show that f (x) 2 + 3x for any x > 0.

Q:

Lesson: Extreme Value Theorem, Mean Value Theorem, First Derivative Test, Concavity and Points of Inflection (i.e. second derivative test), Limits at Infinity and Curve Sketching General...

Q:

please answer the questions that are circled. 2. Solve (x + 3)- Skill Building In Problems 5-32, solve each logarithmic equation. Express irrational solutions in exact form and as a decimal rounded...

Q:

Problem 1 (30 points) Determine the area that is below f(x) = 3 + 2x - x2 and above the x axis. Hint: To find the area, determine first the closed interval [a, b] over which you will integrate. Show...

Q:

f(x) = 3 sin x (a) Find the zeros of f on the interval [-2, 4]. (b) Graph f (x) = 3 sin x on the interval [-2, 4] (c) Solve f(x) = -3/2 on the interval [-2, 4]. What points are on the graph of f?...

Q:

Find the derivatives of all functions. 1.) g(x) = 5 (x4 +3x7) 2. ) f (x ) = - 3 3.) h(x) = (x4 - 2x) (4x2 + 2x + 5) 4.)m(x) = (2 x2 +1) 2 (3x3+1/ 5.) xy2 + 2y3 = x-2y 6.) f(x) =* +1 find day/dx2 7.)...

Q:

Given that logb 2 0.693, logb 3 1.099, and logb 5 1.609, find each of the following, if possible round the answer to the nearest thousandth. a. logb 125 b. logb 53 c. logb 16 d. logb 30

Q:

You need $15,000 in five years for a major trip you're planning. You have already saved $2,500 to start your savings fund. What annual interest rate must you earn to achieve your goal? 19.62% 43.10%...

Q:

Income Statement Percentages Refer to the information for Clear Water Drinking Company. Clear Water Drinking Company manufactures high-quality drinking flasks and sold 201,000 flasks during the month...

Q:

Do the clinical trials in Albania. Youll be able to bring the drug to market faster and cheaper, which will be good for AH Biotechs employees and investors and good for the millions of people who...

Q:

A professional income tax preparer recorded the amount of tax rebate and the total taxable amount of a sample of 80 customers. Compute whichever statistics you need to determine whether tax rebates...

Q:

To determine the relationship between age of cars and annual repair costs a random sample of car owners was drawn and the two variables were recorded. Calculate statistics to determine whether cost...

Q:

Refer to Exercise 4.95. In another survey by the Bureau of Labor Statistics respondents who reported that they rent their dwelling were asked their age and how much they spend annually on rent. Use a...

Q:

which one of the following is not a source for determining standards? A. Strategic Decisions B. Activity Analysis C. Industry Expectation D. Benchmarking E. Historical Data

Q:

Gains on sale of personal jewelry held long term. A. Long-term capital gain B. Long-term capital loss C. Short-term capital gain D. Short-term capital loss E. Section 1231 gain or loss F. Section...

Q:

6. International Paper adopted the dollar-value LIFO method on January 1, 2015. Its inventory on January 1, 2015 was $160,000. On December 31, 2015, the inventory at prices existing on that date...