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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4.7, Problem 4E

(a)

To determine

**To sketch:** The graph of a tangent line at

Expert Solution

At first draw the tangent line at the point

Let the intercept point is

Similarly draw the tangent line at the point

Let that intercept point is

**Graph:**

**Observation:**

From Figure 1, observed that the point

(b)

To determine

**To sketch:** The graph of a tangent line at *x*_{1} = 1.

Expert Solution

At first draw the graph of tangent line at the point

Let the intercept point is

**Graph:**

**Observation:**

From Figure 2 observed that the Newton’s method fail.

(c)

To determine

**To sketch:** The graph of a tangent line at *x*_{1} = 3.

Expert Solution

At first draw the tangent line at the point

Let the intercept point is

**Graph:**

**Observation:**

From Figure 3, observed that the point

(d)

To determine

**To sketch:** The graph of a tangent line at *x*_{1} = 4.

Expert Solution

At first draw the graph of tangent line at the point

Let the intercept point is

**Graph:**

**Observation:**

From Figure 4 observed that the Newton’s method fail.

(e)

To determine

**To sketch:** The graph of a tangent line at *x*_{1} = 5.

Expert Solution

At first draw the tangent line at the point

Let the intercept point is

Similarly draw the tangent line at the point

Let that intercept point

**Graph:**

**Observation:**

From Figure 5, observed that the point