Question
Asked Jan 24, 2020
10 views

For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no greater than 5 x10^-4 ? Give reasons for your answer

check_circle

Expert Answer

Step 1

The Taylor series for sin(x) can be written as:

Calculus homework question answer, step 1, image 1
fullscreen
Step 2

To find: The approximate value of x.

Step 3

Since, the right-hand side of (1) is an alternating series. T...

Calculus homework question answer, step 3, image 1
fullscreen

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

Calculus

Related Calculus Q&A

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

Q: Consider the equation dy/dt = f(y) and suppose that y1 is a critical point—that is, f(y1) = 0. Show ...

A: To show that the equilibrium solution is asymptoticallyPart (a) Stable if f’(y1) < 0Part (b) Unst...

question_answer

Q: 6.4.13 Question Help Let R be the region bounded by the following curves. Use the shell method to fi...

A: Let R be region bounded by the curves. Use the shell method to find the volume of the solid generate...

question_answer

Q: Find the volume of the solid generated by revolving the region bounded by the curve y = sin x and th...

A: Given:Find the volume of the solid generated by revolving the region bounded by the curve y = sin x ...

question_answer

Q: Express in terms of sums and differences of logarithms

A: According to the given information it is required to write the expression in terms of sum and differ...

question_answer

Q: a. Find the center of mass of a thin plate of constant density cov-ering the region between the curv...

A: (a)Given information:

question_answer

Q: Solve the initial value problem   and determine the interval in which the solution is valid.Hint: To...

A: Click to see the answer

question_answer

Q: (y/x+6x)+(ln x−2)y′=0,x>0

A: Consider the given differential equation.

question_answer

Q: Find the centroid of the region bounded by the graphs of y = x + cos x and y = 0 for 0<=x<= 2p...

A: Graph is given below:

question_answer

Q: What is the law of exponential change? How can it be derived from an initial value problem? What are...

A: To define the law of exponential change and derive it from initial value problem.