Search & Filtering
Find Larange’s interpolating polynomial passing through set of points
(0,2) (2,-2),(3,-1),Use it to find
at x = 2
How many key comparisons are required during a search from the root node to find whether the key "8" is stored in the binary search tree constructed from the following sequence of insertion:
17,7,11,9,22,3,8,35,16,6
For the given functions f (x), let x0 = 1, x1 = 1.25, and x2 = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f (1.4), and find the absolute error.
a. f (x) = sin πx
b. f (x) =cube root of (x − 1)
c. f (x) = log10 (3x − 1)
d. f (x) = e2x − x
Write and execute a MATLAB program to solve the following function by Bisection Method
f(c )= 9.8 * 68.1/c [1- e(-0.146813c) ] – 40. Search your answer between c values 12 to 16.Assume minimum error to be considered as 0.001.
Find the negative roots of the equation x^3-2x+5=0, correct to 3 places of decimal by Newton raphson method
B. The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $1000 for the production setup. The variable cost is $30 per pair, and each pair sells for $40.
a. Let x indicate the number of pairs of shoes produced. Develop a mathematical mode
for the total cost of producing repairs of shoes.
b. Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes.
c. What is the breakeven point?
The lifetimes of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 hours. The population distribution is normal. Suppose that you purchase nine bulbs, which can be regarded as a random sample from the manufacturer’s output
a. What is the mean of the sample mean life? (2 marks)
b. What is the variance of the sample mean? (2 marks)
c. What is the standard error of the sample mean? (2 marks)
d. What is the probability that, on average, those nine light bulbs have lives of fewer than 1,050 hours? (4 marks)
Pio and Sons Inc. Spends P40, 000 to prepare a bid on a construction project. If the contract is awarded, the estimated revenue will be P300, 000. If the contract is not awarded, the company has a penalty of P50, 000. There is 40% chance that the company will be awarded the contract. Find the EV.
Determine whether or not the following statements are proportions.if they are not explain why
A.there is an integer x such that X²=9
B.please solve the equation y=2x4
C.why do we have to study logic
D.5+5=15
E.it is not true that 1 is a prime number
NTJ Distributors Ltd has has an annual demand for an airport metal detector of 1400 units. The cost of a typical detector is $400. Carrying cost is estimated to be 20% of the unit cost and the ordering cost is $25 per order. If Tricia Joseph, the owner, orders in quantities of 300, he can get a 4% discount on the cost of the detectors. Should the company accept the discount?
