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3 years ago

What is the polynomial -9+1/8x-7x^4+x^2-x^5 in standard form

Mathematics

1 answer:

Oduvanchick [21]3 years ago

7 0

Answer:

-x^5 - 7x^4 + x^2 + (1/8)x - 9

Step-by-step explanation:

Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:

-9+1/8x

-x^5 - 7x^4 + x^2 + (1/8)x - 9

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

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Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

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Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

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As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

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3 years ago

Find an equation equivalent to r = 10sin ø in rectangular coordinates.

kherson [118]

Answer: x^2 + y^2 -10y = 0

Step-by-step explanation:

Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.

r= 10sin(θ)

Remember that:

x= r × cos(θ)

y= r × sin(θ)

r^2= x^2 + y^2

Multiply both sides of the equation by r. This will give:

r × r = 10r × sin(θ)

r^2 = 10r × sin(θ)

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Because y= r × sin(θ), we can make a substitution. This will be:

x^2 + y^2= 10y

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