1. (Areas of Plane Regions). For each of the subproblems below: (a) sketch the curves, shade the region R of the plane the curves bound; (b) represent the region R either as a Type I, I = a, R= y = g(x), y = f(x)) - Type II region, y = c, y = d R= (x= g(y), I= f(1)) as the union R= RI U...U Rn several Type I, or Type II regions, if necessary (in the last case please provide description of all the regions R;); (c) find the area of the region R; (d) round your result in (e) to five decimal places. 22 (i) y = r, y = 9, y = 4; (ii) y = 9z – z°, y = x² – 7z;

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Please can you make the solutions according to the table.

1. (Areas of Plane Regions). For each of the subproblems below:
(a) sketch the curves, shade the region R of the plane the curves bound;
(b) represent the region R either as a Type I,
I= b
* = a,
y = g(z), y = f(z))
R =
or Type II region,
y = c,
y = d
R =
I = g(y), I =
1 = f(y))
or as the union
R= R1 U...U Rn
of several Type I, or Type II regions, if necessary (in the last case please provide description of all the regions R;);
(c) find the area of the region R;
(d) round your result in (c) to five decimal places.
122
(ii) y = 9x – z°, y = z² – 7x;
(iv) y = 3, y = 1, 1 = 0;
(vi) y = 1 - 4, y = -x² + 3x – 4.
(i) y = r', y = 9, y = 4;
(iii) y = z°,y = r“;
(v) y = 3, y = vE,z = 0;
Present your answers to the problem in six tables (a subproblem a table) similar to the following table:
Transcribed Image Text:1. (Areas of Plane Regions). For each of the subproblems below: (a) sketch the curves, shade the region R of the plane the curves bound; (b) represent the region R either as a Type I, I= b * = a, y = g(z), y = f(z)) R = or Type II region, y = c, y = d R = I = g(y), I = 1 = f(y)) or as the union R= R1 U...U Rn of several Type I, or Type II regions, if necessary (in the last case please provide description of all the regions R;); (c) find the area of the region R; (d) round your result in (c) to five decimal places. 122 (ii) y = 9x – z°, y = z² – 7x; (iv) y = 3, y = 1, 1 = 0; (vi) y = 1 - 4, y = -x² + 3x – 4. (i) y = r', y = 9, y = 4; (iii) y = z°,y = r“; (v) y = 3, y = vE,z = 0; Present your answers to the problem in six tables (a subproblem a table) similar to the following table:
Subproblem (*)
Answers
R= the region bounded by the curves
y = sin(a), y = cos(z), z = 0.
(a)
=)=
1 = 0,
I = T/4
(b)
y = sin(2), y = cos(z))
:/4
(c)
area(R) =
I (cos(z) – sin(x)) dr = v2 – 1;
(d)
area(R) 0.41421.
Transcribed Image Text:Subproblem (*) Answers R= the region bounded by the curves y = sin(a), y = cos(z), z = 0. (a) =)= 1 = 0, I = T/4 (b) y = sin(2), y = cos(z)) :/4 (c) area(R) = I (cos(z) – sin(x)) dr = v2 – 1; (d) area(R) 0.41421.
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