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QUESTION 1
For 3x2 - ex = 0, Evaluate a function g and an interval [a; b] on which fixed-point iteration will converge to a positive solution of the equation.
QUESTION 2
Use Newton's method to solve the equation
with p0 = Π/2
Iterate using Newton's method until an accuracy of 10-5 is obtained.
QUESTION 3
The fourth-degree polynomial
has two real zeros, one in [-1,0] and the other in [0, 1]. Attempt to approximate these zeros to within 10 6 using the
a. Method of False Position
b. Secant method
c. Newton's method
an object is thrown upward from the top of a 64-foot building with an initial velocity of 48ft per second, which implies that the position function is s = -16t squared + 48t +64 where the time t is measured in seconds.
Find the dimensions of the poster which give the largest printed area
Problem solving on population mean
How much variation does knowledge of Age Score
Write an equation and solve: Each month an employee has $75 invested in a stock investment plan. This amounts to 5 percent of the employee's monthly salary. Find the monthly salary.
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their life spans are in..
Find the level of production for which the average cost is equal to the marginal cost.
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
The pillars of the World II memorial in Washington D.C; are 17 feet tall. A scale model of the memorial has pillars that are 5 inches tall. What is the scale of the model?
the bottom of a storage tank at a rate of r(t) = 200-4t liters per minute, where 0≤ t ≤ 66. Find the amount of water that flows from the tank during the first 66 minutes.
The arrival rate for a certain waiting line system obeys a Poisson distribution with a mean of 05. unit per period. It is required that the probability of one or more units in the system not exceed 0.20.
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