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Question: A particle moving along the x-axis has potential energy at the point x given by V (x). The potential energy has a minimum at x = 0.
(a) Write the Taylor polynomial of degree 2 for V about x = 0. What can you say about the signs of the coefficients of each of the terms of the Taylor polynomial?
(b) The force on the particle at the point x is given by -V' (x). For small x, show that the force on the particle is approximately proportional to its distance from the origin. What is the sign of the proportionality constant? Describe the direction in which the force points.
Use the graph to find the domain and the range. Choose the correct domain. Choose the correct range.
The owner of a local chocolate shop wants to develop a new trail mix. How many pounds of chocolate covered peanuts worth $5 a pound should be mixed with 10 pounds of granola bites worth $2 a pound to get a mixture worth $3 per pound?
Is John's claim correct? Why or Why not? In the body, answer all questions related to the Exercise. You may also help the reader understand the Linear Programming Theory.
Find the total profit,the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5000+8x.
using either the t-test or z-test calculate the correlation coefficient using the following values presented below.once
CONSUMER PRICE INDEX An economy's consumer price index (CPI) is described by the function.
Considering the above combinations and using Spacegass determine the maximum (positive and negative) reactions, shear forces and bending moments the beam should be designed for. These maximum values are known as "design" values.
How much gravitational potential energy does a 70 kg high-diver have on the 10 meter platform? Note: g = 9.8 m/s2and the unit for energy is a joule, which is equal to a Newton times meters (J = N*m).
Please provide a step by step explanation about how to compute total number of ways in which 3 different colored bottles could be arranged in a line out ot a total of 9 bottles.
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
Why is counting the number of ways a hatcheck person can return hats to n people, so that no one receives the correct hat.
Should they, and other U.S. shoe manufacturers continue to contract for making shoes in Asia? Should the U.S. government be involved in regulating such operations?
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