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1. Use Nekton's method and the function f(x) = xn - a to show that the general rule for approximating x = n√a is {(n - 1) xnn + a} / nxnn-1.
2. Use the linear approximation to estimate the change in volume of a right circular cone of fixed height h = 4m when its radius increases from r = 3m to r = 3.05m [v(r) = πr2h/3].
3. Find two positive numbers x and y such that "The sum of the First number squared and the Second number is 54 and the product of x and y is as large as possible.
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
Need help solving a math question Solve the systems of equations by graphing. Check your solution.Y=-4x+23y+12x=6
Determine the optimal production plan, i.e. , how many cupboards to produce each day in order to minimize the total production cost.
When is the particle moving in the positive direction? (Enter your answer using interval notation.) Find the total distance traveled during the first 6 s. ft Find the acceleration at time t (in ft/s2).
2 mechanics worked on a car. The first mechanic worked for 10 hours and the second mechanic worked for 15 hours. Together they charged a total of 1850 . What was the rate charged per hour by each mechanic if the sum of the 2 rates was 145 per hour..
Region C sold 20% more than Region B. In the second quarter, sales increased by 15% for Region B, and Region A had 1.5 times as many sales as Region B. What were Region A's sales in the second quarter?
Evaluate the prospect of borrowing money before the first game and evaluate the prospect of paying a friend $100/game to assist.
Estimate the profit for each item as difference between total revenue and total cost of the item and
Probability questions
Evaluate the following double integral by using polar coordinates. I = ∫∫D 1 - x2 - y2 dA, where the region D is the quarter unit disc x2 + y2 ≤1 in the first quadrant.
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