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2 years ago

Integrate with respect to x 1/√(1-2x)

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

-√(1 - 2x) + C

Step-by-step explanation:

1/√(1-2x)

We want to integrate it. Thus;

∫1/√(1 - 2x) dx

Let u = 1 - 2x

Thus;

du/dx = -2

Thus, dx = -½du

Thus,we now have;

-½∫1/√(u) du

By application of power rule, we will now have;

-½∫1/√(u) du = -√(u) + C

Plugging in the value of u, we will have;

-√(1 - 2x) + C

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Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0

m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

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2 years ago

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How might this number be shown on a calculator?<br> 5.31x1037 (37 is above 10)<br> [?]e[ ]

Arisa [49]

Answer:

$5.31E37$

Step-by-step explanation:

Given

$5.31 * 10^{37}$

Required

How it'd be displayed on a calculator

Standard calculators, today are built to always convert huge numbers or extremely small number to scientific notations;

This was done to allow the calculator fit each values on its screen

$5.31 * 10^{37}$ is such a big number that it'll require the calculator to display it using scientific notations;

So, basically we have to convert $5.31 * 10^{37}$ to scientific notaton;

This is achieved by replacing $*10^{37}$ with $E37$

So, $5.31 * 10^{37}$ is equivalent to $5.31E37$

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2 years ago

At what x value does the function given below have a hole?<br><br> f(x)=x+3/x2−9

S_A_V [24]

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

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Each base in this right prism-like figure is a semicircle with a radius of 7 cm.

zheka24 [161]

Answer:490pi

Step-by-step explanation:just trust me

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2 years ago

Use the drawing tool(s) to form the correct answers on the provided grid. Consider the function g. For the x-value given in the

NeX [460]

Answer:

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

Step-by-step explanation:

g(x) = -3(1/2)^x

Putting values of x

x g(x)

-2 -3(1/2)^-2 = -12

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Now, making the graph we will plot

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

The graph is shown in figure below.

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2 years ago