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2 years ago

How to solve integration using a partial fraction?.

1 answer:

4 0

Multiplying both sides by the LCD (x + 2)(x - 1); -3x + 7 = A(x - 1) + B(x + 2). Substitute x - 1 = 0, or x = 1 we have -3 + 7 = 3B ;B = 4/3. Substitute x + 2 = 0, or x = -2 we have 6 + 7 = -3A ; A= -13/3. Example 2: Decompose the following rational expression into partial fractions

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Suppose an economy experiences an increase in unemployment across all industries. What is the result of this increase in unemplo

r-ruslan [8.4K]

The curve of production possibilities would shift inward because labor is considered a factor of production. By reducing productive resources, the maximum level of production will decrease and unemployment level increases.

In a Market Economy, Employment and Production Levels are set by balance between Supply and Demand. In this situation, a reduction on Demand means that Level of Production is higher than what Market can afford and there are two possibilities: (i) Lowering prices of goods and services, which may be perjudicial for businessmen and capitalists but may allow to sell this surplus, (ii) Firing some workforce to eliminate Supply surplus, since there is a relationship between Workforce and Production, which is tinged with other production factors as Technology and Skills.

Hence, the curve of production possibilities would shift inward because labor is considered a factor of production. By reducing productive resources, the maximum level of production will decrease and unemployment level increases.

Please see this question related to Market Economy: brainly.com/question/2343400

6 0

3 years ago

What is an equation for (0,1), (1,3), (2,9), (3,27), (4,81)

Gennadij [26K]

Answer:

$y = 3^x$

Step-by-step explanation:

Each y is 3 times the last one, so it's geometric, so exponential. 3 should appear as the base.

4 0

4 years ago

Audrey ran 2 1/6 miles yesterday. Today, she ran 1 3/6 miles. Tomorrow, she plans on running 1 4/6 miles less than yesterday and

zubka84 [21]

Answer:

2 miles

Step-by-step explanation:

Add the first 2 terms (2 1/6 and 1 3/6) by adding the whole term and fractional term to get 3 4/6, then subtract 1 4/6 by subtracting 1 from 3 and 4/6 from 4/6 to get 2 0/6, which is just 2.

7 0

2 years ago

Set up a double integral for calculating the flux of the vector field ????⃗ (????⃗ )=????⃗ , where ????⃗ =⟨x,y,z⟩, through the p

Tema [17]

Answer:

-937.5π

Step-by-step explanation:

F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)

Thus, flux ∫∫s F · dS is given as;

∫∫ <x, y, z> · <-z_x, -z_y, 1> dA

=∫∫ <x, y, 3x² + 3y²> · <-6x, -6y, 1>dA , since z = 3x² + 3y²

Thus, flux is;

= ∫∫ -3(x² + y²) dA.

Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:

∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)

= 2π ∫(r = 0 to 5) -3r³ dr

= -(6/4)πr^4 {for r = 0 to 5}

= -(6/4)5⁴π - (6/4)0⁴π

= -937.5π

4 0

4 years ago

A turtle walked 1/8 of a mile in 1/2 of an hour. How many miles will he turtle walk in one hour?

artcher [175]

The turtle walked a total of 1/4 of a mile in an hour because 1/8 + 1/8 is 2/8 or 1/4 simplified. There are double 1/8 because you need to 1/2 hours to make a whole hour.

4 0

4 years ago

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