Solve the Problem $f ( x ) = 3 x ^ { 3 } - 4 x - 1$

question 281

Essay

Solve the problem.
-Explain why the following four statements ask for the same information.
(i) Find the roots of $f ( x ) = 3 x ^ { 3 } - 4 x - 1$
(ii) Find the $x$ -coordinates of the intersections of the curve $y = x ^ { 3 }$ with the line $y = 4 x + 1$ .
(iii) Find the $x$ -coordinates of the points where the curve $y = x ^ { 3 } - 4 x$ crosses the horizontal line $y = 1$ .
(iv) Find the values of $x$ where the derivative of $g ( x ) = \frac { 3 } { 4 } x ^ { 4 } - 2 x ^ { 2 } - x + 5$ equals zero.

Recognize the relationship between cardiac cycle events and their representation on an ECG.

Understand how heart sounds correlate with heart valve actions.

Describe the process and importance of ventricular contraction and relaxation within the cardiac cycle.

Understand the practical application of ECG in measuring cardiac function, including electrode placement.

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