Given.
?

?
Say whether L'Hospital's rule applies.
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__________
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If it does, use it to evaluate the given limit. If not, use some other method.
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__________

What will be an ideal response?


yes; 0

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2 + x + 1, a = 2

A. P3(x) = 7 + 5(x - 2) + 5(x - 2)2 + 7(x - 2)3 B. P3(x) = 1 + 3(x - 2) + 3(x - 2)2 + (x - 2)3 C. P3(x) = 3 + 5(x - 2) + 7(x - 2)2 D. P3(x) = 7 + 5(x - 2) + (x - 2)2

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Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.

A. 24x(x + 4)  
B.
C.
D.

Mathematics

Provide the proper response.Explain in your own words how you can tell from the equation whether the graph is an ellipse or a hyperbola.

What will be an ideal response?

Mathematics

Solve the problem.A comet travels in a parabolic path, given by x = -2.6y2, where the sun is located at  and the units are astronomical units (A.U.). Find the distance from the sun to the comet when the comet is located at  Round to the nearest hundredth when necessary.

A. 10.59 A.U. B. 10.69 A.U. C. 8.3 A.U. D. 10.49 A.U.

Mathematics