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Question: In Exercises, determine if the set of vectors S forms a subspace of the given vector space. Give reasons why S either is or is not a subspace.
Exercise: 1. S is the set of vectors of the form (x1, x2,..., x6) in R6, with the xi real numbers and x1 - x2 + x3 ···+ x6 = 0.
2. S is the set of vectors of the form (x1, x2,..., x5) in R5, with the xi real numbers and x2 3.
Find the centroid of the region bounded by 3x - 10y = -56, x - 10y = 28, x = -2, and x = 8. You should enter the coordinates of your answer either as decimals or fractions. Find the fifth Maclaurin polynomial for f(x) = x3 cos (Sx).
Angus invested $18,000, part at 3% and part at 5%. If the total interest at the end of the year is $660, how much did he invest at each rate?
Assume a person saves diligently in some long-term savings plan for 50 years and retires with $800,000 in his or her retirement account. How much purchasing power would that amount have in today's dollars if the annual inflation rate averaged abou..
Explain which of the three measures of central tendency (mean, median, mode) are appropriate to use for each of the two cases below. Do not work out the problem. Only express your answer and explain why you chose the answer.
give an example of a non-mathematical algorithm that you use or have seen used to complete a task. discuss the
Was there a time interval when the glider was ascending?
Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per? month.
Explain the theory in your own words based on the case study and suggested readings. Include the following in your explanation:
A spring has a natural length of 26 cm. If a 25 N force is required to keep it stretched to a length of 39 cm, how much work W is required to stretch it from 26 cm to 28 cm? (Round your answer to the nearest hundredth.)
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
let x denote the number of ticketed airline passengers denied a flight because of overbooking. suppose that x is a random variable for which p(x) = c(5-x) for x = 0,1,2,3,4. find the numerical value of c and then compute P(x>0)
Suppose the demand for a product is given by D(p)= -7p+185. Calculate the elasticity of demand at a price of $11
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