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Determine Whether the Statement Is True or False

Question 105

Multiple Choice

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​
If h(x, y) = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ where Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ .


A) From the definition follows Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ , so the statement is false.​
B) From the definition follows Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ , so the statement is true.​
C) From the definition follows Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ If h(x, y)  = f(x) g(y) , where f is continuous on [a, b] and g is continuous on [c, d], then ​   where   . ​ A)  From the definition follows           , so the statement is false.​ B)  From the definition follows           , so the statement is true.​ C)  From the definition follows           , so the statement is false.​ , so the statement is false.​

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