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Jobisdone [24]
3 years ago
12

What is the sum? (3/x2-9) + (5/x+3)

Mathematics
2 answers:
vekshin13 years ago
8 0

Answer:

5x-12 / (x+3)(x-3)

Step-by-step explanation:

Given expression:\frac{3}{x^2-9}+\frac{5}{x+3}

Using identity a^2-b^2=(a+b)(a-b), we get

=\frac{3}{(x+3)(x-3)}+\frac{5}{x+3}

Taking L.C.M. of the denominator, we get

\frac{3+5(x-3)}{(x+3)(x-3)}=\frac{3+5x-15}{(x+3)(x-3)}

=\frac{5x-12}{(x+3)(x-3)}

\Rightarrow\frac{3}{x^2-9}+\frac{5}{x+3}=\frac{5x-12}{(x+3)(x-3)}

vladimir2022 [97]3 years ago
8 0
It’s (3/x2-9)+(5/x+3) go help me on my question!
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5 0
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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

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= -(6/4)5⁴π - (6/4)0⁴π

= -937.5π

4 0
4 years ago
Find sin 2x,cos2x and tan2x,if tanx=-(3)/(4)and x terminates in quadrant IV
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Answer:PLEASE HELP ME

Step-by-step explanation:

here can you guys please help me with this question.

I have been asking help from so many people but no one is nice enough to give it so im hoping that anyone over here can help me. this is the problem

Carl is standing at the base of a zip line which is 400 ft away from the base of the building that is connected to the top of a building. Standing 5.5 ft tall, he looks up to the top of the building at an angle of elevation of 25 degrees. A weight is released and travels down the zip line to his feet. How far did the weight travel? Round to nearest 10th of a foot and do not use units in your answer.

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7 0
2 years ago
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha
Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

Step-by-step explanation:

<u> Step(i):-</u>

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

<em>Let X = 6.8</em>

Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3

Let X = 8.8

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The probability that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>

                     = P(Z≤1)- P(Z≤-3)

                    =  0.5 + A(1) - ( 0.5 -A(-3))

                   = A(1) + A(3)       (∵A(-3)=A(3)

                  =  0.3413 +0.4986    (∵ From Normal table)

                 = 0.8399

<u><em>Conclusion:-</em></u>

The percentage that of people who gave the movie a rating between 6.8 and 8.8

<em>P(6.8≤X≤8.8)  = 83.9≅ 84 percentage</em>

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