If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 1

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Chapter 4.30, Problem 10E

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If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

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Answer 2

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 3

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 4

Question

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Answer 5

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 6

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 7

Chapter 4.30, Problem 10E

To determine

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

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If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

To show: If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.

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Chapter 4 Solutions

To show:

If X is a countable product of spaces having countable dense subsets, then X has a countable dense subset.