Exam 7: Multivariable Calculus

Provide an appropriate response. -A combination lock on a suitcase has 5 wheels, each labeled with digits 1 to 8. How many 5-digit combination lock codes are possible if no digit can be repeated?

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -

Determine whether the given set is disjoint or not disjoint. Consider the set N of positive integers to be the universal set, and let -

Use the addition principle for counting to solve the problem. -If n(A) = 20, n 20, n = 58, and n = 16, find n(B).

Evaluate. -1514!!

Provide an appropriate response. -A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 500 responses with the following results: 150 were interested in an interview show and a documentary, but not reruns. 20 were interested in an interview show and reruns but not a documentary 70 were interested in reruns but not an interview show. 120 were interested in an interview show but not a documentary. 50 were interested in a documentary and reruns. 30 were interested in an interview show and reruns. 40 were interested in none of the three. How many are interested in exactly one kind of show?

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

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

Provide an appropriate response. -A coin that can turn up either heads (H) or tails (T) is flipped. If a head turns up on the first toss, a spinner that can land on any of the first 7 natural numbers is spun. If a tail turns up, the coin is flipped a second time. What are the different possible outcomes?

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

Evaluate. -

Use a Venn Diagram and the given information to determine the number of elements in the indicated region. -n(A) = 33, n(B) = 19, 19, n(A

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

Construct a truth table for the proposition. -

Use the addition principle for counting to solve the problem. -If n(A) = 40, n(B) = 117 and d = 137, what is

Provide an appropriate response. -Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction:

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -

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

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -

Construct a truth table for the proposition. -