Hello, I am not too sure about finding error bounds for integral approximation or how to find n to obtain and an accurate approixmation within an error of .0001. Do the following with the given information.1S 17 cos(x²) dx(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)T8M8= 15.339658(b) Estimate the errors in the approximations Tg and Må in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Roundyour answer to seven decimal places.)8|ET| ≤ .0372537IEMI ≤ .0186272nz= 15.395539n z(c) How large do we have to choose n so that the approximations T and Mn to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions isbounded by ±1 to estimate the maximum error.)XXfor Tfor Mn

(a)Using Trapezoidal Approximation ():Let, The value of table for x and y…

Do the following with the given information. [² 17 17 cos(x²) dx (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) T8 = 15.339658 Mg = 15.395539 (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) IET ≤ 0372537 IEMI ≤ 0186272 nz nz X X (c) How large do we have to choose n so that the approximations T, and M to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error.) for Tn for Mn

Do the following with the given information. [² 17 17 cos(x²) dx (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) T8 = 15.339658 Mg = 15.395539 (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) IET ≤ 0372537 IEMI ≤ 0186272 nz nz X X (c) How large do we have to choose n so that the approximations T, and M to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error.) for Tn for Mn

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time

Section: Chapter Questions

Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...

See similar textbooks

Related questions

Q: 18tan"x Sec-x dx (िकपन इ)"

Q: x+4 dx Vx

Q: evaulte the indefinite integral 1/(5x+6sqrt(x))

A: To integrate the given expression by an appropriate substitution

Q: (3+e2*-1)² dr

Q: -du и

A: Given: ∫1udu

Q: What have you learned in evaluating integrals?

Q: Estimate V2x +2 dx using three rectangles of equal width and right endpoints. Round your answer to 2…

Q: xcos(2x² + 7)dx

Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.

Q: 68. π/2 0 cos x sin (sin x) dx

Q: 2. ** 3x3-2x²+4 dx 2. S* :

Q: How do we know we can pull the 8 out front of the integrals and change all the bottom bounds to 0?

A: A function f(x) is called an even function, if f(-x)=f(x) For example, f(x)=1 is an even function.…

Q: MY NOTES ASK YOUR TEACHER PRA The rate of sales of bottled water in a country for the period…

Q: Evalu at e the in deffinite integral. 2

Q: Let G be the region bounded by the curve x³ + y³ = 5xy in the first quadrant. Find the area of G (by…

A: To Find: Area of the region bounded by the curve x3+y3=5xy in the first quadrant.

Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + ye+ (4xy + xe +…

Q: Could you please show how you were able to find the bounds on the integral?

Q: find the indefinite integral of y/sqrt(1+3y)

Q: 5 1 1o ( 125 + 25x + 8) dx 6 1 X So (1 + x²)³dx 3 1 √ dx 1+x²

A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

Q: 3 1a). Let V be the volume of the shape formed between the parabloid z = 2x² — y² and the cone z² =…

A: Given equation of paraboloid and the cone is z=32-x2-y2 and z2=x2+y2 where z≤0 Using polar…

Q: For each of the following integrals, does the Fundamental Theorem of Calculus (FTC) Part 1 apply…

Question

Hello, I am not too sure about finding error bounds for integral approximation or how to find n to obtain and an accurate approixmation within an error of .0001.

Do the following with the given information.
1
S 17 cos(x²) dx
(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)
T8
M8
= 15.339658
(b) Estimate the errors in the approximations Tg and Må in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round
your answer to seven decimal places.)
8
|ET| ≤ .0372537
IEMI ≤ .0186272
nz
= 15.395539
n z
(c) How large do we have to choose n so that the approximations T and Mn to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is
bounded by ±1 to estimate the maximum error.)
X
X
for T
for Mn

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Find the numerical integration

VIEW

Step 2: Find the error

VIEW

Step 3: Find the value of n

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 25 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

I followed this guide on my own to replicate the methodlogy and once I got the same answers, I tried them out but they are still showing incorrect. Now I am confused on if this is the right approach.

Do the following with the given information.
1
[²₁
17 cos(x²) dx
(a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.)
T8
M8
= 15.339658
15.395539
=
(b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round
your answer to seven decimal places.)
|ET| ≤ .0851080
IEMI ≤ 0425540 X
(c) How large do we have to choose n so that the approximations and M to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is
bounded by ±1 to estimate the maximum error.)
n
n
n ≥ 233
n ≥ 166
X
X
for Tn
for M

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00 millimeters long is cut into a carbon steel baseplate with a feed of0.80 millimeter per revolution. Find the cutting time using a 75-millimeter diameter carbide milling cutter running at 640 r/min.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
Use a change of variables or the table to evaluate the following definite integral. A/12 cos 2x dx Click to view the table of general integration formulas. a/12 cos 2x dx = (Type an exact answer.) 0.
Find the surface area of revolution of 7 cos(5θ ) between - π/10 and π/10, about the x-axis using the formula above. The derivative is -35 sin(5θ).
Given. 39 cos(x2) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) T8 M8 (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) |EMI < (c) How large do we have to choose n so that the approximations Tn and M, to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error.) n 2 for Tn for Mn
A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine solution is pumped into the tank at a rate of 5gal/min and the wellstirred mixture is pumped out of the tank at the same rate. The concentration of salt in the inflow is variable and is given by cin = (2 + sin(t/4))lbs/gal. Find the amount of salt in the tank at any time t.
1 dx from the reading at 5. Consider the integral f the beginning of the section. (a) Use the inverse trigonometric substitution u = sin-1x to solve this integral. (b) Use the trigonometric substitution x = sin u to solve the integral. x² V1-x2 (c) Compare and contrast the two methods used in parts (a) and (b).
2. Evaluate the Definite Integral using Trigonometric Substitution. Make sure to state solution with exact values (not decimals). Show all steps. 2 dx Vx² + 4 BONUS: Check your work by using the Method of Substitution on the Definite Integral, and show that you arrive at the same solution.
Asap plz
1. csc2 a cot rvcsc x – 1 dx 6.