Consider the Secant Method applied to minimising f(x) = x² + x³ in |x| < 1. We know the minimiser is x* = 0, but let's derive that the order of the method is here p = 1.6180. Question 1 Substituting the function into the Secant Method gives which of the following iterations? O #k+1 #k+1= k+1 = Oak+l (3+2+2x-1) 3(x+1)+2(x+2-1+₁) 1+22 3+42 6(1+) 21 1+2+2-1

to STUDENTS of 5さ WHAT FUNCTION =C(x) =

Please let me know how to find out the answer for (b) using the substitution method. I know how to get the functions for (2) as shown.  Question:  A company can decide how many additional labor hours to acquire for a given week. Subcontractor workers will only work a maximum of 20 hours a week. The company must produce at least 200 units of product A, 300 units of product B, and 400 units of product C. In 1 hour of work, worker 1 can produce 15 units of product A, 10 units of product B, and 30 units of product C. Worker 2 can produce 5 units of product A, 20 units of product B, and 35 units of product C. Worker 3 can produce 20 units of product A, 15 units of product B, and 25 units of product C. Worker 1 demands a salary of $50/hr, worker 2 demands a salary of $40/hr, and worker 3 demands a salary of $45/hr. The company must choose how many hours they should contract with each worker to meet their production requirements and minimize labor cost. (a) Formulate this as a linear…

10. Find all relative maxima of the given function. y = x* – 8x +16x² +10 A) (0,10) (2,26) (4,10) В) C) D) (0,10).(4,10) E) no relative maxima

Find the root of the following equation: f(x) = x^2-x-2=x with boundaries [1,2] Show Answer in the form of the iteration table. You can use regula-falsi or bisection method.

Give Three Functions  of Wronskian ?

Show that an = 1/2n + 1 is decreasing.