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Magazine Problem 64
In Exercises \(53-64,\) use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. $$ (\sqrt{2}-i)^{4} $$
Problem 64
In Exercises \(61-64\), find the magninude ly to the nearest hundredth, and the direction angle \(\vec{\theta},\) to the nearest tenth of a degree, for each given vector \(\mathbf{v}\) $$\mathbf{v}=(7 \mathbf{i}-3 \mathbf{j})-(10 \mathbf{i}-3 \mathbf{j})$$
Problem 64
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Solving an SSS triangle, I do not have to be concerned about the ambiguous case when using the Law of sines.
Problem 64
Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$ r \cos \theta=7 $$
Problem 65
Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$ r=4 \csc \theta $$
Problem 65
Explain how to find the dot product of two vectors.
Problem 65
Use a graphing utility to graph the polar equation. $$r=4+2 \sin \theta$$
Problem 65
In Exercises \(65-68\), find all the complex roots. Write roots in polar form with \(\theta\) in degrees. The complex square roots of \(9\left(\cos 30^{\circ}+i \sin 30^{\circ}\right)\)
Problem 65
Explaining the Concepts. What do the abbreviations SAA and ASA mean?
Problem 65
The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect at an angle of \(35^{\circ} .\) Find the lengths of the parallelogram's sides. (Hint: Diagonals of a parallelogram bisect one another.
