Numerical Methods

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Question 19

The curve $C\,$ with equation $y = e^x$ intersects the line $L\,$ with equation $y = 3 x + 5$ at the point $Q$ .

a.

Show that the $x\,$ coordinate of $Q\,$ satisfies the equation $\ln(3x + 5)$ .

[2]

b.

Using the iterative relation $x_{n+1} = \ln(3x_n + 5)$ with $x_0 = 2.8$ , calculate the values of $x_1$ , $x_2\,$ and $x_3$ , giving each answer to 3 decimal places.

[3]

Numerical Methods

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Question 19

The curve $C\,$ with equation $y = e^x$ intersects the line $L\,$ with equation $y = 3 x + 5$ at the point $Q$ .

a.

Show that the $x\,$ coordinate of $Q\,$ satisfies the equation $\ln(3x + 5)$ .

[2]

b.

Using the iterative relation $x_{n+1} = \ln(3x_n + 5)$ with $x_0 = 2.8$ , calculate the values of $x_1$ , $x_2\,$ and $x_3$ , giving each answer to 3 decimal places.

[3]

Numerical Methods

Question 19

Numerical Methods Questions

Numerical Methods

Question 19

Numerical Methods Questions