Exam 7: Multivariable Calculus

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Use the Venn diagram to find the requested set. -Find A. Use the Venn diagram to find the requested set. -Find A.

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B

Tell whether the statement is true or false. -Tell whether the statement is true or false. -

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False

Construct a truth table to decide if the two statements are equivalent. -Construct a truth table to decide if the two statements are equivalent. -

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False

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -

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Use the Venn diagram below to find the number of elements in the region. Use the Venn diagram below to find the number of elements in the region.   -n(A) -n(A)

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Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -At Southern States University (SSU) there are 399 students taking Finite Mathematics or Statistics. 238 are taking Finite Mathematics, 184 are taking Statistics, and 23 are taking both Finite Mathematics and Statistics. How Many are taking Finite Mathematics but not Statistics?

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Evaluate. -C7, 0

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Tell whether the statement is true or false. -Tell whether the statement is true or false. -

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Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let   - -Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let   -

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Construct a truth table for the proposition. -Construct a truth table for the proposition. -

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Use the addition principle for counting to solve the problem. -If n(B) = 24, n 24, n Use the addition principle for counting to solve the problem. -If n(B) = 24, n 24, n   =5, and n, and n   = 42, find n(A). =5, and n, and n Use the addition principle for counting to solve the problem. -If n(B) = 24, n 24, n   =5, and n, and n   = 42, find n(A). = 42, find n(A).

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Evaluate. -86!!

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Use the Venn diagram below to find the number of elements in the region. Use the Venn diagram below to find the number of elements in the region.   - -Use the Venn diagram below to find the number of elements in the region.   -

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Solve the problem. -In how many ways can a student work 8 out of 10 questions on an exam?

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Solve the problem. -A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

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Provide an appropriate response. -In a group of 42 students, 22 take history, 17 take biology and 8 take both history and biology. How many students take biology, but not history?

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Evaluate. -P10, 2

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Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 · 9 = 81" q: "8 · 10 < 7 · 11 -Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: 9 · 9 = 81 q: 8 · 10 < 7 · 11 -

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Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false. -

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Provide an appropriate response. -The access code to a house's security system consists of five digits. How many different codes are available if each digit can be repeated?

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