Provide an appropriate response.Find dy/dt when x = 5 if y = 2x2 - 6x + 7 and dx/dt = 1/2.
Fill in the blank(s) with the appropriate word(s).
Answer: 7
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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{7, 12, 17,22, ...}
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 5n + 1, | ...} |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 4n - 1, | ...} |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 4n + 2, | ...} |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 5n + 2, | ...} |
List all of the Hamilton circuits for the graph that start with the indicated vertices.
Starting B ?D ? F
A. B ?D ? F ? A ? E ? C ? B B ?D ? F ? A ? C ? E ? B B ?D ? F ? C ? E ? A ? B B ?D ? F ? E ? A ? C ? B B. B ?D ? F ? A ? E ? C ? B B ?D ? F ? A ? C ? E ? B B ?D ? F ? C ? E ? A ? B B ?D ? F ? E ? A ? C ? B B ?D ? F ? C ? A ? E ? B B ?D ? F ? E ? C ? A ? B C. B ?D ? F ? A ? E ? C ? B B ?D ? F ? A ? C ? E ? B D. B ?D ? F ? A ? E ? C ? B
Let A = {1, 3, 5, 7}B = {5, 6, 7, 8}C = {5, 8}D = {2, 5, 8}U = {1, 2, 3, 4, 5, 6, 7, 8}.Determine whether the statement is true or false.{0} ? U
A. False; the empty set is a subset of set U. B. False; {0} is not a subset of set U, because 0 is not an element of U. C. True D. False; 0 is an element of set U, not a subset.
Is the following correspondence a function??
A. Yes B. No