Question: (a) Graph the function f (x) = sin x - 1/1000 sin(1000x) in the What slope does the graph appear to have at the origin?

(a) Graph the function f (x) = sin x - 1/1000 sin(1000x) in the

[-2т., 2т]by [—4, 4].


What slope does the graph appear to have at the origin?

(b) Zoom in to the viewing window [-0.4, 0.4] by [-0.25, 0.25] and estimate the value of f′(0). Does this agree with your answer from part (a)?

(c) Now zoom in to the viewing window [-0.008, 0.008] by [-0.005, 0.005]. Do you wish to revise your estimate for f′(0)?

[-2., 2]by [4, 4].

Step by Step Solution

★★★★★

3.34 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The slope at the origin app... 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 Precalculus Questions!

Q:

(a) Graph the function f(x) = sin (sin-1x) and explain the appearance of the graph. (b) Graph the function f(x) = sin (sin-1x). How do you explain the appearance of this graph?

Q:

(a) Graph the function f(x) = x 2 sin x in the viewing rectangle [0, 8] by [ 2, 8]. (b) On which interval is the average rate of change larger: [1, 2] or [2, 3]? (c) At which value of is the...

Q:

Graph the function f(x) = sin (/x) of Example 4 in the viewing rectangle [ 1, 1] by [ 1, 1]. Then zoom in toward the origin several times. Comment on the behavior of this function.

Q:

Algebra 2B | Unit 1 Practice Test | Graphs of Sinusoidal Functions Explain/show how to graph the function f (x) = sin ). 10) In the function f(x) = cosx, f(x) is multiplied by a factor of 3, x is...

Q:

Graph the equation f ( x ) = sin ( x ) in the viewing rectangle [ 1 , 1 ] by [ 1 , 1 ] . Then zoom in toward the origin several times. Comment on the behavior of this function. No matter how many...

Q:

I Questions for Further Exploration 1. Use a graphing utility to estimate Limit 1 in part (c) cosine functions are each other's derivatives? If not, above graphically and numerically. which is the...

Q:

A CO NHOH NOO ACT x 10 2 2 2 Use the graph to answer the question. Which of the following can be the parent function of the graph? Select all that apply. O A. sin x O B. COS X O C. tan x O D. cot x O...

Q:

Question 2 (2 points) Carbon-14 is a radioactive substance produced in the Earth's atmosphere and then absorbed by plants and animals on the surface of the earth. It has a half-life (the time it...

Q:

1) Given the triangle below, find the measure of angle x . Round to two decimal places. Note: picture is NOT drawn to scale but x is obtuse. 0 Question 16 v 80/1 pt '0 5 Z 99 G) Details 336 Let f(33)...

Q:

For the function f (x) = - sin (x - 2 ), determine its amplitude and period, and then graph it for two periods. Enter the exact answers. For the number 7, either choose i from the bar at the top or...

Q:

Sandi Scott obtained a patent on a small electronic device and organized Scott Products, Inc., to produce and sell the device. During the first month of operations, the device was very well received...

Q:

A Facebook game, FarmVille, allows members to manage virtual crops together. Would there be any benefit in being able to pass on to ones heirs the fruits of ones virtual labor? Why or why not? Many...

Q:

Noel purchases a house and gets a 1 5 1 5 - year mortgage for $ 2 3 5 , 0 0 0 $ 2 3 5 , 0 0 0 at 4 % 4 % APR. In addition to the monthly payment, the lender requires him to pay into an escrow account...

Q:

Assuming that all coupons are reinvested over the holding period, the investors fi ve-year horizon yield is closest to: A . 5.66%. B . 6.62%. C . 7.12%.

Q:

A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the function S(t) = - 0.00003237t5 + 0.0009037t4 - 0.008956t3 + 0.03629t2 - 0.04458t + 0.4074 where is...

Q:

When a foreign object lodged in the trachea (windpipe) forces a person to cough, the diaphragm thrusts upward causing an increase in pressure in the lungs. This is accompanied by a contraction of the...

Q:

Prove that the function F(x) = x101 + x51 + x + 1 has neither a local maximum nor a local minimum.

Q:

Points 12 Submitting an external tool Attempts 0 Allowed Attempts 1 Avallable Mar 3 at 11:30am - Mar 8 at 11pm 5 days Kimmel, Accounting, 7e Help System Announcements CALCULATOR PRINTER VERSION BACK...

Q:

Hazelnut Corporation manufactures lawn ornaments. It currently has two product lines, the basic and the luxury. Hazelnut has a total of $ 1 5 3 , 9 6 5 in overhead. The company has identified the...

Q:

Sawyer Manufacturing Corporation uses a predetermined overhead rate based on direct labor-hours to apply manufacturing overhead to jobs. Last year, the Corporation worked 48,000 actual direct...