Quiz 24 (Section 11.9, 11.10) Section 11.9: 1. Find the vectors v = and w = find the following: a) W .v b) The angle d between v and w Section 11.10: 2. Eliminate the parameter t and write the equation as a Cartesian equation a) (x(t) = 3t - 1 b) for (t ) = cost + 4 ( y(t) = 2t2 ly(t ) = 2 sin' t3. Graph the set of parametric equations by hand by making a table of values. Be sure to indicate the direction of the parameterization on the curve. x(t) = 3cost ly(t) = 2 sint + 3 for O E t E nQuiz 23 (Section 11.7, 11.8) Section 11.7: 1. Let z = 3 - 3i a) Plot z in the complex plane. b) Find Re(z), Im(z), |z|, and Arg(z) C) Find the polar form of z d) Use DeMoivre's Theorem to find z*. Write your answer in rectangular form. 2. Find the cube roots of z = -8i. Write your answers in rectangular form.Section 11.8: 3. Use the vectors u = 2i - 3j. v = -2i - 4j, and w = 3i - j a) Findu+ (v - w) b) Find 4v - Zu 4. Use the given magnitude and direction in standard position, write the vector in component form a) lv| = 8,0 = 30 b) lv[ = 12, 0 = 2250 5. A boat leaves the marina and sails 6 miles north, then 2 miles northeast. How far from the marina is the boat, and in what direction must it sail to head directly back to the marina