01 The function f is defined by
f(x) =x^2 + e^x -4
02 (a) Sketch on the same diagram the curves y=2^(-x) and y=x^2.
(b) One of the points of intersection of these graphs has a positive x-coordinate. Given
this x-coordinate is a, show that 0<a<1.
(c) Find a correct to 2 decimal places and describe briefly how the iteration process
converges to a.
Pls help me with these questions. Stuck in them for a week. I don't get the concept of the numerical method as I've never done math with no exact solution. So frustrating. Is anyone familiar with these questions?
f(x) =x^2 + e^x -4
- By drawing suitable sketches, show that f(x) has one negative root and one positive root.
- Find the negative root of f(x) with a suitable starting point, correct to 3 decimal places.
- Try to find the positive root of f(x).
02 (a) Sketch on the same diagram the curves y=2^(-x) and y=x^2.
(b) One of the points of intersection of these graphs has a positive x-coordinate. Given
this x-coordinate is a, show that 0<a<1.
(c) Find a correct to 2 decimal places and describe briefly how the iteration process
converges to a.
Pls help me with these questions. Stuck in them for a week. I don't get the concept of the numerical method as I've never done math with no exact solution. So frustrating. Is anyone familiar with these questions?
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