(1) Given that z = 1-iV3, express z in the form r(cos e + i sin e) Hence write down z7 the form

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10i

(a) Express f (@) in the formr sin(@-2), where r> 0 and 0 <1<=
Hence,
(b) Find the maximum and minimum values of
f(0)+3
(ii) Find the intervals for which the function h(x)=x' -3x is strictly
%3D
(a) increasing
(b) Decreasing.
10. (1) Given that z = 1-- iV3, express z in the form r(cos 0 + i sin e).
Hence write down z7 in the form rete
-1
1
3
3
-1
(ii) Given that A =
12
2
-1 and B D
-2 -2
3
-4 -5
100
Transcribed Image Text:(a) Express f (@) in the formr sin(@-2), where r> 0 and 0 <1<= Hence, (b) Find the maximum and minimum values of f(0)+3 (ii) Find the intervals for which the function h(x)=x' -3x is strictly %3D (a) increasing (b) Decreasing. 10. (1) Given that z = 1-- iV3, express z in the form r(cos 0 + i sin e). Hence write down z7 in the form rete -1 1 3 3 -1 (ii) Given that A = 12 2 -1 and B D -2 -2 3 -4 -5 100
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