In analogy with Problem 49, Cos x = 1 - x2 / 2 + x4 / 24

Question:

In analogy with Problem 49,
Cos x = 1 - x2 / 2 + x4 / 24 + R5(x)
If 0 ( x ( 1, give a good bound for |R5(x)|. Then use your result to approximate

And give a bound for the error?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:37 AM

See More Questions

Problem 49 suggests that if n is odd, then the nth order Maclaurin polynomial for sin x is also the (n + 1)st order polynomial, so the error can be calculated using Rn+1. Use this result to find how...
One can sometimes find a maclaurin series by the method of equating coefficients. For Example, let tan x = sin x / cos x = a0 + a1x + a2x2 + ... x - x3 / 6 + ... = (a0 + a1x +a2x2 + ...) (1 - x2/2 +...
Follow the directions in problem 49 for the function g(x) = (3x2 - 4) / (x2 + x - 6) Graph f(x) = (3x - 4) / (x2 + x - 6) on the domain [- 6, 6]. (a) Domain the x- and y-intercepts. (b) Determine the...
On June 15, 2020, Smithson Foods purchased $1,000,000 of 2.5 percent corporate bonds at par and designated them as availableforsale investments. On December 31, 2020, Smithsons yearend, the bonds are...
Why is slack important to the project manager?
An item with a price relative of 132 cost $10.75 in 2009. Its base year was 1992. a. What was the percentage increase or decrease in cost of the item over the 17-year period? b. What did the item...
I was the youngest of five kids, and my older siblings always complain that I got away with a lot more than they did. Use the PewKids dataset to see if older parents check/block their kids more than...
James Davis owns a small Internet service provider business. Recently, customers have been complaining that they are overcharged and are not receiving timely customer service. Billing rates seem to...
Pintime Industries Incorporated entered into a business combination agreement with Sydrolized Chemical Corporation ( SCC ) to ensure an uninterrupted supply of key raw materials and to realize...
I. Do you think treating employees in Tasty Meal is unfair? Justify. Keep the unemployment factor, poverty and economical environment in mind. II. Should Tasty Meal be accused for health issues by...
The fourth order Maclaurin polynomial for sin x is really of third degree since the coefficient of x4 is 0. Thus, Sin x = x - x3 / 6 + R4(x) Show that if 0 ( x ( 0.5, | R4(x) | ( 0.0002605. Use this...
Problem 50 suggests that if n is even, then the nth order Maclaurin polynomial for cos x is also the (n + 1)st order polynomial, so the error can be calculated using Rn+1. Use this result to find how...
Calculate the missing values for the promissory notes described in problem. Face Issue date Interest Date of Discount rate (%) Proceeds value ($) rate (%) Term sale ($) 2700 Sep. 4 6 182 days Dec. 14...
Explain the background and prerequisites of supply chain management. Present the basic factors for implementing cooperation between companies in relation to supply chain integration, and discuss what...
You're soliciting for a $2M non-commercial research and development effort to produce prototypes for a handheld virus scanner. There appears to be only one source capable of performing this...
1. what is the Nordic Model to prostitution?2. what are the advantages/disadvantages of the Nordic Model?3. many groups (including the ACLU) advocate for the decriminalization or legalization of sex...
A property owner is considering installing electric valves with automatic timers on their sprinkler systems. They estimate needing 45 valves and timers costing $65 for each set. Initial installation...
Will each scenario shift the aggregate supply curve, the aggregate demand curve, both, or neither? Items (4 items) (Drag and drop into the appropriate area below) A new technology makes workers more...
For the same ADC of Example 11-12, determine the approximate range of analog input voltages that will produce the same digital result of 0101110101 2 = 373 10 . Data from Example 11-12 Assume the...
Let (x) = x 2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (((--) 2
The other trigonometric functions (tangent, cotangent, secant, and cosecant) are defined in terms of sin and cos by Calculate the value of each of these functions at the following angles (all in...
The following are some of the most important trigonometric identities. Check them at a. = 0, b. = /4, c. = /2, d. = . cos (/2) = 1 + cos()/2. Only check at points a, c, and d.
The following are some of the most important trigonometric identities. Check them at a. = 0, b. = /4, c. = /2, d. = . sin2() + cos2() = l.
Crane, Inc., a resort management company, is refurbishing one of its hotels at a cost of $6,794,207. Management expects that this will lead to additional cash flows of $1,560,000 for the next six...
Match each of the following transactions with the applicable internal control principle that is being violated
Vaughn Company sells two types of pumps. One is large and is for commercial use. The other is smaller and is used in residential swimming pools. The following inventory data is available for the...

In analogy with Problem 49, Cos x = 1 - x2 / 2 + x4 / 24

Question:

cos x dx

Step by Step Answer:

Rs x cos c 6 x Rsx ...View the full answer

Calculus

Students also viewed these Calculus questions