Differential Equations with Boundary-Value Problems
Differential Equations with Boundary-Value Problems
9th Edition
ISBN: 9781337632515
Author: Dennis G. Zill
Publisher: Cengage Learning US
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Chapter B, Problem 19E
To determine

To find: Whether the given matrix is singular or non singular. If it is non singular find A1

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2) Suppose you start with $60 and increase this amount by 15%. Since 15% of $60 is $9, that means you increase your $60 by $9, so you now have $69. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we added this amount to our original $60. Explain why it makes sense that increasing $60 by 15% can also be accomplished in one step by multiplying $60 times 1.15. 3) Suppose you have $60 and want to decrease this amount by 15%. Since 15% of $60 is $9, that means you will decrease your $60 by $9, so you now have $51. Notice that we did this calculation in two steps: first we multiplied $60 by 0.15 to find 15% of $60, then we subtracted this amount from our original $60. Explain why it makes sense that decreasing $60 by 15% can also be accomplished in one step by multiplying $60 times 0.85. 4) In the Read and Study section, we noted that the population in Colony B is increasing each year by 25%. Which other colony in the Class Activity…
Suppose an experiment was conducted to compare the mileage(km) per litre obtained by competing brands of petrol I,II,III. Three new Mazda, three new Toyota and three new Nissan cars were available for experimentation. During the experiment the cars would operate under same conditions in order to eliminate the effect of external variables on the distance travelled per litre on the assigned brand of petrol. The data is given as below: Brands of Petrol Mazda Toyota Nissan I 10.6 12.0 11.0 II 9.0 15.0 12.0 III 12.0 17.4 13.0 (a) Test at the 5% level of significance whether there are signi cant differences among the brands of fuels and also among the cars. [10] (b) Compute the standard error for comparing any two fuel brands means. Hence compare, at the 5% level of significance, each of fuel brands II, and III with the standard fuel brand I. [10]
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