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Question: (a) Find the eighth derivative of f(x) = x7 + 5x5 - 4x3 + 6x - 7. Think ahead! (The nth derivative, f(n) (x), is the result of differentiating f(x) n times.)
(b) Find the seventh derivative of f(x).
Suppose that Connecticut decided to increase its tax rates by 20% and add a filing fee of $100. Write a function for the new state income tax.
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
The theory of relativity predicts that an object whose mass is m0 when it is at rest will appear heavier when moving at speeds near the speed of light.
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Describe the role computers played in the proof of the four color theorem. How can we be sure that a proof that relies on a computer is correct?
Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?
Flip a penny 100 times, with 49 tosses landing heads up. What percentage of the pennies landed heads up and tails up? The percentage of the pennies that landed heads up is? The percentage of the pennies that landed tails up is?
What are the differences between strategic controls and financial controls, and how do they relate to organizational structure? What is the importance of these differences?
Create an activity (e.g., a worksheet, a computer program, etc) that uses mathematical modeling of another context. Identify the Common Core State Standards content standards that your activity addresses. Provide solutions for your activity.
Let the masses of blocks A and B be 4.00 kg and 2.00 kg , respectively, the moment of inertia of the wheel about its axis be 0.300 kg?m2, and the radius of the wheel be 0.130 m . Find the magnitude of linear acceleration of block A if there is no s..
Determine whether the following arguments are inductive or deductive.- Since Christmas is always on a Thursday, it follows that the day after Christmas is always a Friday.
What is the area of a paper label that is to cover the lateral surface of a cylindrical can 3.00 in. in diameter and 4.25 in. high?
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