1. Perform the indicated operations given a = 15-2i, b= −3+2i, and c= -1-3i. Write the results in exponential and rectangular form: a. -5a + 3b; b. 2a 3c 2 c. (3a-2b).c; d. .(-5a + 3b); e. (2-1) 5. 3. Write the numbers in polar and rectangular form: a. 2.5e³/4; b. 6e-16; c. 5e0.5i; d. 4e2; e. 4eri; f. 1.3e¹.4i 4. Write the numbers in polar and exponential form: a. -5; b.√√3-i; c. -4-3i; d.-4i; e. 12; f. 7i 4-3 2. Evaluate z = 12 for z₁ =1+i, z₂ = 3i, z3 = 0.5-0.5√3i. Write the result i exponential form. 5. Solve 2z²-2z+1=0 and write the answer in exponential form. 2a 3c .i7
1. Perform the indicated operations given a = 15-2i, b= −3+2i, and c= -1-3i. Write the results in exponential and rectangular form: a. -5a + 3b; b. 2a 3c 2 c. (3a-2b).c; d. .(-5a + 3b); e. (2-1) 5. 3. Write the numbers in polar and rectangular form: a. 2.5e³/4; b. 6e-16; c. 5e0.5i; d. 4e2; e. 4eri; f. 1.3e¹.4i 4. Write the numbers in polar and exponential form: a. -5; b.√√3-i; c. -4-3i; d.-4i; e. 12; f. 7i 4-3 2. Evaluate z = 12 for z₁ =1+i, z₂ = 3i, z3 = 0.5-0.5√3i. Write the result i exponential form. 5. Solve 2z²-2z+1=0 and write the answer in exponential form. 2a 3c .i7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve problem 5 with explanation. Thank you
Transcribed Image Text:1. Perform the indicated operations given a = 15-2i, b = −3+2i, and c = -1-3i. Write the results in
exponential and rectangular form:
a. -5a + 3b; b.
2. Evaluate z =
2a
3c
4-3
c. (3a-2b).c; d.
• (-5a + 3b);
for z₁ = 1+i, z₂ = 3i, z3 = 0.5-0.5-√√3i. Write the result
e. (2-1) 5. 2a
3c
3. Write the numbers in polar and rectangular form:
a. 2.5e³/4; b. 6e-16; c. 5e0.5i; d. 4e27; e. 4eri; f. 1.3e¹.4i
4. Write the numbers in polar and exponential form:
a. -5; b.√√3-i; c. -4-3i; d.-4i; e. 12; f. 7i
5. Solve 2z²-2z+1=0 and write the answer in exponential form.
.i7
exponential form.
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