1. Evaluate (1 + i)10.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I. Evaluate the following.
1. Evaluate (1+ i)10.
2. Evaluate In(-3).
3. Determine the cube roots of 8 at 120 degrees.
4. Find the value of log,(-4).
5. What is j raise to 6+4j?
6. Determine tan (0.942 + jo.429)
100
7. If
= a + bi, compute for a and b.
8. Differentiate the function f(t) = t³ – it? when t = 2.
9. Determine the integral of the given function f(t) = t – it? for 0 < t < 2.
10. Derive the formula for the cos (z), where z is a complex number.
Transcribed Image Text:I. Evaluate the following. 1. Evaluate (1+ i)10. 2. Evaluate In(-3). 3. Determine the cube roots of 8 at 120 degrees. 4. Find the value of log,(-4). 5. What is j raise to 6+4j? 6. Determine tan (0.942 + jo.429) 100 7. If = a + bi, compute for a and b. 8. Differentiate the function f(t) = t³ – it? when t = 2. 9. Determine the integral of the given function f(t) = t – it? for 0 < t < 2. 10. Derive the formula for the cos (z), where z is a complex number.
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