Determine whether the equation defines y as a function of x. x2 - 3y2 = 1
A. function
B. not a function
Answer: B
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Differentiate the Taylor series about 0 for the given function. Then identify the function represented by the differentiated series. f(x) = e5x
A. 5 + 25x2 + + ...= 5e5x
B. 1 + 5x + +
...= 5e5x
C. 1 + 5 + +
... = e5x
D. 5 + 25x + + ...= 5e5x
Solve the problem.Let u = ln a and v = ln b. Write the following expression in terms of u and v without using the function ln.ln ()
A. -
v
B. +
v
C. - 4v
D. u +
v
Solve the problem.A circular fountain has a statue in its center, 8 m from the edge. What is the distance around the fountain?(Use 3.14 for ? .)
A. 50.24 m B. 25.12 m C. 48.24 m D. 64 m
Find the sum of the infinite geometric series, if it exists.12 + 6 + 3 + + . . .
A. 21 B. - 12 C. 24 D. does not exist