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Consider the equation X^9+x-2.01=0. You will be asked in part (c) below to use local linearization to approximate a solution by hand.
(a) Why would we would expect there to be a solution between 1 and 1.01?(b) Find the local linearization of the function f(x)=x^9 at the base point 1.(c) Use your local linearization from part (b) to approximate a solution of the equation above.
Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?
Calculate monthly deposits necessary to accumulate $13,800 after 5 years in account earning 6.75% compounded monthly?
a horizontal,rectanular tank is 10' long,9'wide,8'high it is filled wiyh mud to a height of 5', how many barrels of mud is in the tank?
A 118 foot line is attached to a kite. When the kite has pulled the line taut,the angle of elevation to the kite is approximately 42 degrees. Approximate the height of the kite.
a slice of pie with a scoop of ice cream has 850 calories. The calories in the pie alone are 100 more than twice the calories in the ice cream alone. How many calories are in each food?
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
The tension T at each end of the chain has magnitude 15 N. What is the weight of the chain?
Determine the probability without replacement
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