Question: Find the linearization of the function f(x) = x + 3 at a = 1 and use it to approximate the numbers 3.98 and 4.05.

Find the linearization of the function f(x) = √x + 3 at a = 1 and use it to approximate the numbers √3.98 and √4.05. Are these approximations overestimates or underestimates?

Step by Step Solution

★★★★★

3.32 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The derivative of fx x 3 12 is and so we have f1 2 and f1 14 Pu... View full answer

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 Calculus 6th edition Questions!

Alex Inc. is a merchandising company. Next month, the company expects to sell 100 units. The following data describe the company's revenue and cost structure: Selling price per unit ... $50 Sales...

Down Under Products, Limited of Australia has budgeted sales of its popular boomerang for the next four months as follows: April May June July Unit Sales 88,000 90,000 128,000. 99,000 The company is...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

My approximate values are not correct, but those are the answers I got from my calculations... what am I missing?? Find the linearization of the function f (x) = - 1 4x+3 at x = -1. va a sin (a) ? 4...

available ACADEMIC SUPPORT or in the learning modules. Question 6 4 points How Did I Do? Find the linearization of the function f (x) = 1 5x+4 at x = -1. a Va 7T sin (a) ? L(x) =E Find the true...

Please answer the question and provide proper explanation. Please make sure that the answer is visible and easy to see. 6) Find the linearization of the function f (x)=Vx + 3 at a = 1 and use it to...

Question 5 Identify the open intervals on which the graph of the function is concave upward or concave downward. Assume that the graph extends past what is shown. 2 points How Did I Do? 18 14- 2 -10...

Question 9 Find the linearization of the function f (a) = 1 2x+1 at x = -1. 3 points How Did I Do? L (x) = Find the true values of f () and the approximations using L () below. Round all of your...

Find the linearization of the function f (x) x = -1. L (x) X Find the true values of f (x) and the approximations using L (x) below. Round all of your answers to 3 decimal places. You "can use a...

Select the graph which satisfies all of the given conditions. Justify your answer in terms of derivatives and concavity information below. You should explain why the graph you chose is correct as...

Complete the "T" Accounts, prepare the Trial Balance with their heading 1. Jahlee Bez invested $ 35,000 to set up his Sportswear sales business, ACCO-Sports. Feb.1 2. ACCO-Sports bought $ 500 worth...

The following data for Al-Ahd Company: Trading ratio 3, quick ratio 2.5, earnings per share 300 thousand, book value 900 thousand, total liabilities to equity 47%, fixed assets turnover 1, number of...

Jacob's unmarried daughter, Stephanie, lived with him in his home for the entire year. Jacob is divorced. He owns his own home and pays all of the costs of upkeep for the home. Jacob paid over one -...

336 Find the proportionality constant K = vO=vS for the circuit in Figure P336. Then select values for the resistors so that vO is 0:1 vS. +1 www R R K vs R3 R4 www FIGURE P3-36 www Vo

Fill in the tables and guess the value of the limit. 1. 3. lim, f. (x), where f(x) = 7-1 tf(x) 1.002 1.001 1.0005 1.00001 x f(x) 0.998 0.999 0.9995 0.99999 lim f(y), where f() 2.002 2.001 2.0001...

Which of the following statements regarding the exchange of non-monetary assets is true? a) Determining commercial substance for a transaction is based on professional judgment. b) All non-monetary...

Unadjusted Account Title Trial Balance DR CR Cash 240,300 - Accounts Receivable 925,000 - Allowance for Doubtful Accounts - 49,000 Interest Receivable - Merchandise Inventory 187,500 - Prepaid...

Here are the cash flow forecasts for two mutually exclusive projects: Cash Flows, Dollars Year Project A Project B 0 $100 $100 1 30 49 2 50 49 3 70 49 a. Which project would you choose if the...