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3 years ago

Please Need help on this

Mathematics

1 answer:

faust18 [17]3 years ago

6 0

:) Hope this helps you to your question

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Step-by-step explanation:

The inverse function returns the original value for which a function gave the output. A function that consists of its inverse fetches the original value

$f(-1)=1, then: f^{-1}(1)=-1\\f(2)=0, then: f^{-1}(0)=2\\f(3)=3, then: f^{-1}(3)=3\\f(4)=8, then: f^{-1}(8)=4$

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In a radio station contest, the first prize is $2,000 and the second prize is $500. The probability of winning the first prize i

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

$\\\\=\frac{1}{9-8}$

= 1

Now

$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

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3 years ago

Ember has $80 to spend on clothes. She wants to buy a pair of jeans that cost $35 and spend the rest on t-shirts. Each T-shirt c

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Answer:

she can buy 9 shirts

Step-by-step explanation:

80-35=45

45÷5=9

plz mark brainlyest

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Answer:

1/4

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