Exam 7: Multivariable Calculus

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Provide an appropriate response. -Construct a truth table to determine whether or not the following implication is true: is true: Provide an appropriate response. -Construct a truth table to determine whether or not the following implication is true: is true:

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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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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 719 students taking Finite Mathematics or Statistics. 328 are taking Finite Mathematics, 476 are taking Statistics, and 85 are taking both Finite Mathematics and Statistics. How Many are taking Statistics but not Finite Mathematics?

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Use the addition principle for counting to solve the problem. -If n(A) = 5, n(B) = 11 and 11 and Use the addition principle for counting to solve the problem. -If n(A) = 5, n(B) = 11 and 11 and

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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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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 a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 15, 15, Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 15, 15,   = 42, n(B') = 40. Find  = 42, n(B') = 40. Find Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 15, 15,   = 42, n(B') = 40. Find

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Solve the problem. -How many ways can a committee of 5 be selected from a club with 10 members?

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Solve the problem. -If the police have 9 suspects, how many different ways can they select 5 for a lineup?

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Provide an appropriate response. -A test is composed of 4 multiple choice problems and 8 questions that can be answered true or false. Each multiple choice problem has 4 choices. How many different response sheets are possible if only one choice is marked for each question?

(Essay)
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Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -Let U = {a, l, i, t, e}, A = {l, i, t},B = {l, e}, C = {a, l, i, t, e}, and D = {a, e}. Find Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -Let U = {a, l, i, t, e}, A = {l, i, t},B = {l, e}, C = {a, l, i, t, e}, and D = {a, e}. Find

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Evaluate. -Evaluate. -

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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 neither biology nor history?

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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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Evaluate. -P6, 4

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Determine whether the selection is a permutation, a combination, or neither. -An animal trainer selects 2 of the 5 baboons to showcase on the talk show.

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Provide an appropriate response. -A survey of residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and 80 own a dehumidifier and a snow blower. How many own a dehumidifier or a snow blower?

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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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Provide an appropriate response. -In Virginia, each automobile license plate consists of a single digit followed by three letters, followed by three digits. How many distinct license plates can be formed if there are no restrictions on the digits or letters?

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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 -The contrapositive of he contrapositive of 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 -The contrapositive of he contrapositive of

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