Work all the questions. 1. Find the area bounded by the curves y=3e² and y=3e* and the ordinates at x = 1 and x 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Test Exercise-XVIII
Work all the questions.
1. Find the area bounded by the curves y=3e²* and y=3e* and the
ordinates at x = 1 and x = 2.
2. The parametric equations of a curve are
y=2 sint, s
1₁x=2+21-2 cost
10
Find the area under the curve between t= 0 and r= 10.
3. Find the mean value of y
5
2-x-3x²
between x=-
and x =
=+
4. Calculate the r.m.s. value of i= 20 + 100 sin 100mt between r = 0
and t = 1/50.
5. If i= I sin wt and v= L
di
+ Ri, find the mean value of the product
dt
vi between 1 = 0 and t = 2
6. If i= 300 sin 100nt + I, and the r.m.s. value of i between t = 0
and t = 0-02 is 250, determine the value of I.
Transcribed Image Text:Test Exercise-XVIII Work all the questions. 1. Find the area bounded by the curves y=3e²* and y=3e* and the ordinates at x = 1 and x = 2. 2. The parametric equations of a curve are y=2 sint, s 1₁x=2+21-2 cost 10 Find the area under the curve between t= 0 and r= 10. 3. Find the mean value of y 5 2-x-3x² between x=- and x = =+ 4. Calculate the r.m.s. value of i= 20 + 100 sin 100mt between r = 0 and t = 1/50. 5. If i= I sin wt and v= L di + Ri, find the mean value of the product dt vi between 1 = 0 and t = 2 6. If i= 300 sin 100nt + I, and the r.m.s. value of i between t = 0 and t = 0-02 is 250, determine the value of I.
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