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(1) Show that the conclusion of Egroff's theorem can fail if the measure of the domain E is not finite. (2) Extend the Lusin's Theorem to the case when the measure of the domain E
The augmented matrix from a system of linear equations has the following reduced row-echelon form (a) How many equations are there in the system? (b) How many variab
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a usual person a test will be at least 1.5 times as high as the upper
The conjugate of the complex number a + b i is the complex number a - b i . In other terms, it is the original complex number along the sign on the imaginary part changed. Here
Leslie ordered a slice of pizza for $1.95, a salad for $2.25, and a soda for $1.05. What was the total cost of her order? The cost of every item must be added together; $1.95 +
In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color? Find out 15% of 700 through multiplying 70
25% of babies born at Yale New Haven Hospital weigh less than 6 pounds and 78% weigh less than 8.5 pounds. What percent of the babies born at Yale New Haven Hospital weigh among 6
What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th
A golf ball has a diameter equal to 4.1cm. Its surface has 150 dimples each of radius 2mm. Calculate the total surface area which is exposed to the surroundings assuming that the d
use the expansion of (1-x)^7 to find the value of 1.998^7 correct to five significant figures
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