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3 years ago

What is Y if X-2Y = Z?

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer:(2) y = 2

Step-by-step explanation:

If x + 2y = z, what is the value of x? 3y = 4.5 + 1.5z y = 2

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Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

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1 year ago

What is surface area? any of the individual surfaces of a solid object a pattern of two-dimensional shapes that can be folded to

spin [16.1K]

Answer:

Any of the individual surfaces of a solid object pattern of three dimensional shapes.

Step-by-step explanation:

Surface area of a solid object is the measure of the total area of the surface of three dimensional objects. Example a sphere and a cube is a three dimensional objects.

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3 years ago

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A bag contains 7 red marbles, 3 blue marbles, 1 green what is the prob. of choosing a marble not blue?

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3 marbles as there is only one green and there is three other blue marbles left and that answer is incorrect

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How many repeating digits are in 0.536

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves

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