Use Newton's method to solve the equation:

0 = (1/2) + (1/4)x² - x. sinx - (1/2)cos2x, with pₒ= π/2.

Iterate using Newton's method until an accuracy of 10⁻⁵ is obtained. Explain why the result seems unusual for Newton's method. Also, solve the equation with pₒ = 5π and pₒ = 10π.

Adepartment store purchases screen-printed t-shirts at a cost of $5 per shirt. they mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?

What is the value of x in the diagram below?