Find the Im (w)where w is the positive solution to 22 =8+-7i
Find the Im(w)where w is the positive solution to z2 =6+5i
FIND THE Im (W) WHERE W IS THE POSITIVE SOLUTION TO Z238+-7). *need an explanation on how to do this *
6. Given u= 2 + 31, p= 1 - 2i and w= -3 – 6i where i = V-1 is the imaginary unit. Evaluate the following: A) (u + v B) u + 20 C) 4–3v + 2w D) U E ) uv F) (ulvt G) v/w
Write 21 and 22 in trigonometric form and then find their quotient. 21= -3/3+3i, 22 = 6i
Directions: In 25-27, let u = 15-6i .V=-5+ 4i, and w=-2-i. [25] Simplify u + 3v: A) -6i B) 6i C) 30-6i D) 30+6i E) none of these [26] Find the sum of the conjugate of v and the conjugate of w. A)-7-31 B) -7 +31 C) 7-3i D) 7+3i E) none of these [27] Subtract w from u. A) -17-71 B) -17+5i c) 13-5i D) 13-71 E) none of these
(b). Use the chain rule to find me and where w = 22 + y2 + 22, x = st, y = scost, z = ssint when s = 1 and t = 0.
Question 22 Find one solution for each factor. Hint... factor. Hint hint...re read the instructions to ensure you do not do too much. 2 sin? 20 - 3 sin 20 +1 = 0 B I VA A IXE E 3 1 1 * , ! E - XV 12pt Paragraph I
2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3
2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3
Y13) = re-1+21)22 42(2) = zel-1-21)22 Write the solution yı (2) as a sum of real and imaginary parts, y(I) = u(x) +iv(x), where u(2) and v(r) are real-valued. Based on the information given, are u(I) and v(2) solutions to the differential equation Briefly justify your answer.