Find the Taylor series at x = 0 of f(x) = e3x by computing four derivatives and using the definition of the Taylor series. Is  the correct answer?Enter "yes" or "no".

Fill in the blank(s) with the appropriate word(s).


"no"

1 + 3x + x2 + x3 + x4 + ...

Mathematics

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Solve the problem.Estimate the minimum number of subintervals needed to approximate the integral with an error of magnitude less than 10-4 using the Trapezoidal Rule.

A. 2 B. 0 C. 3 D. 1

Mathematics

Completely factor the expression. ? ?

A.
B.
C.
D.
E.

Mathematics

By making a table of both the left and right sides of the equation, conjecture if the equation represents an identity. cot2 ? tan2 ? = csc2 ? - cot2 ?

A. Yes B. No

Mathematics

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = 3x5 - 3x4 + 9x3 - 9

A. 1 positive; 1 or 3 negative B. 1 or 3 positive; 0 negative C. 1 or 3 positive; 1 or 3 negative D. 0, 2, or 4 positive; 0 negative

Mathematics