Modelling involving Numerical Methods
1. This question has 3 part(s).
1.1. The profile of the Wibbley-Wobbley-Slide is modelled using part of the function
The graph of , where , is shown below.
is the height, in metres, above the ground of a person using the slide.
is the horizontal distance, in metres, of a person on the slide, measured from the point directly underneath the top of the slide (the origin).
Find the height above the ground of a person on the slide when they have travelled 10 m horizontally.
1.2. Apply the Newton-Raphson method with a starting approximation of to find the total horizontal distance travelled by a person using the slide.
Give your answer to 3 significant figures.
1.3. Using a suitable interval, show that your answer to part (b) is correct to 3 significant figures.
Ai এর মাধ্যমে
১০ লক্ষ+ প্রশ্ন ডাটাবেজ
প্র্যাকটিস এর মাধ্যমে নিজেকে তৈরি করে ফেলো
উত্তর দিবে তোমার বই থেকে ও তোমার মত করে।
সারা দেশের শিক্ষার্থীদের মধ্যে নিজের অবস্থান যাচাই
This question has 3 part(s).
According to legend, a unicorn can heal an injury almost instantly by touching it with its horn.
When a unicorn touches a cut in human skin of length mm, it will heal according to the model
where is the length of the cut in millimetres, at time seconds after the unicorn has touched the injury with its horn.
(i) Write down the value of at the point when the cut is completely healed.
(ii) Show that, for a cut in human skin of length 5 mm the equationcan be rearranged into the form
This question has 3 part(s).
This question has 2 part(s).
