The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

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Answer 1

Question

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

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The answer is B, Could you please show the steps to obtain the answer

2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object at any point (x, y, z). Then F(x, y, z) = -KVU (x, y, z) represents the heat flow at (x, y, z) where K > 0 is called the conductivity constant and the negative sign indicates that the heat moves from higher temperature region into lower temperature region. Answer the following questions. (A) [90%] Compute the inward heat flux (i.e., the inward flux of F) across the surface z = 1 - x² - y². (B) [10%] Use the differential operator(s) to determine if the heat flow is rotational or irrotational.

Could you show why the answer is B Using polar coordinates and the area formula

Answer 2

Question

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

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Answer 3

Question

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

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Answer 4

Question

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

Expert Solution & Answer

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Answer 5

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

Answer 6

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

Answer 7

Chapter 8.2, Problem 28E

(a)

To determine

To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

Answer 8

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

Answer 9

(b)

To determine

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

Answer 10

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

Answer 11

(c)

To determine

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

Answer 12

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

Answer 13

(d)

To determine

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 8.1 - Evaluate the numbers in Exercises 1-12. C(5, 3) Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Evaluate the numbers in Exercises 1-12. C(12, 7) Ch. 8.1 - Prob. 5E Ch. 8.1 - Evaluate the numbers in Exercises 1-12. the...Ch. 8.1 - Prob. 7E Ch. 8.1 - Evaluate the numbers in Exercises 1-12. the...Ch. 8.1 - Prob. 9E Ch. 8.1 - Evaluate the numbers in Exercises 1-12. the...

The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

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To find: The possible number of different distributions of the three scholarship if anyone may receive any scholarship.

To find: The possible number of different distributions of the three scholarships if the $500 scholarship is to be awarded to a freshman, the $250 scholarship to a sophomore, and the $100 scholarship to a junior.

To find: The possible number of different distributions of the three scholarships if at least two scholarships are to be awarded to juniors.

To find: The possible number of different distributions of the three scholarships if one scholarship is to be awarded to someone from each class.

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