Given vectors u and v, find (a) 7u (b) 7u+6v (c) v-hu. u=9i, v = 3i + 6j (a) 7u= (Type your answer in terms of i and J.) (b) 7u + 6 = (Type your answer in terms of i and j.) (c) v-6u = (Type your answer in terms of i and j.) Use the figure to evaluate a+b, a-b, and -a.
Question 3 Find the Im((-1+-15i)(-5+9i)) Question 4 Find Im(O cis (577/3)) Question 5 MacBook Air 00 OOD 32
Find R and angle. Z1 =8+3i, Z2 =2+3i, Z3 =9-((2)^1/2 )i. (vi) z = TEM (vii) 2 = 22 + 231
Find the complex numbers w and z which solve the system of equations (-1+i)w + (-2-3i)z = -12 - 3i (-2+3i)w +(-1+i)z = 0 +10i (Hint: Check your solution by substituting back in)
Let A = [2-3i 3 + 2i [ 5 - 1+i –1 + i 21 1-11 -1-il -2 ] The set of solutions to the equation Ax = 0 is 22 = [Select] 23+ [Select] 21
2iz-1 If f(2) = 27251 2-3i a) Find and simplify f'(z) b) Find f'(1 + i) and write the answer in cartesian form (a + bi).
1. Simply the following in the form x + iy (a) 3-3i)-4+3i) (-1-1) (b) 3-3i)(-4+3i) (1-)(41 (c) 3-3i)4+(-4+3i)2 (1-i)4(4i)3
please use complex conjugate to find 21 = 2 + 3i, z2 = 5 – 4i, please use complex conjugate to find 2 = ? 21 = -4+ 21, z2 = 5 – 3i, 72 = ? 21 = –4 + 2i, z2 = 5 – 3i, 21 – 21 = ? + 21 = -4 + 2i, z2 = 5 – 3i, 2171 = ?
Find a closed form for sn=∑i=1n(5i−1). What is the first term of this sum? What is the nth term of the sum? If we write the sum both forwards and backwards and pair the terms vertically, what is the identical sum for each pair? Finally, give the closed form for sn=∑i=1n(5i−1). Find a closed form for sn=∑i=1n(8i−9). sn= Find a closed form for sn=∑i=1n(17−9i). sn= Find a closed form for sn=∑i=1n(−4−3i). sn=
and z2 = 1 1 + 3i 3-i a) Given that zı = find z such that z = 2 + i 4- ¿ 22 Give your answer in the form of a + bi. Hence, find the modulus and argument of z, such that -- < arg(2) < 7. (6 marks) b) Given w = = -32, i. express w in polar form. (1 marks) ii. find all the roots of 2b = -32 in the form of a...