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;
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb355ec48-b6ec-4375-b6c0-43e460d69cbc%2F187fa49d-31c0-41e7-85c0-488025b0c536%2F16i6gxp_processed.png&w=3840&q=75)
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb355ec48-b6ec-4375-b6c0-43e460d69cbc%2F187fa49d-31c0-41e7-85c0-488025b0c536%2F4u409nr_processed.png&w=3840&q=75)
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