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3 years ago

The function f (x) = cube root of x is an example of a logarithmic function. true false

Mathematics

1 answer:

xxMikexx [17]3 years ago

4 0

This is a false statement.

The cube root of x also means x raised to the 1/3rd power. In order for it to be a logarithmic function, it needs to grow as a inverse to a power function. Since we still have a number raised to a power (albeit a very low power) it is not a logarithmic function.

All logarithmic functions will approach the y axis as they get lower and lower. The cube root of x will actually hit the y-axis at (0, 0)

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lianna [129]

Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

first warehouse: 185 - 15x

second warehouse= 237-18x

Let the second warehouse have 1.5 times more coal than the first one after n days then

1.5 ×(185 - 15n)=237-18n which gives:
277,5-22,5n=237-18n and
40,5=4,5n
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3 years ago

Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

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4 years ago

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Answer:

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3 years ago

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Ivanshal [37]

<em>Answer</em>

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