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3 years ago

Which condition must be satisfied in order to use the arc length formula L = the integral from a to b of sqrt(1 + f'(x)^2) dx?

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.

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3 years ago

A radio station had 120 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tick

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Step-by-step explanation:

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3 years ago

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3 years ago

Would you multiply M by the third equation (6x^5.....) since it is subtraction

steposvetlana [31]

Answer:

Step-by-step explanation:

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3 years ago

Consider the vectors v1, v2, v3 in R2. Vectors v1 and v2 are parallel.How many solutions x, y does the system xv1 + yv2 = v3 hav

ANEK [815]

We want to see how many solutions has an equation given some restrictions on the vectors of the equation.

We have 3 vectors in R2.

v₁, v₂, and v₃.

Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.

Then we can write:

v₂ = c*v₁

Where c is a real number.

Then our system:

x*v₁ + y*v₂ = v₃

Can be rewriten to:

x*v₁ + y*c*v₁ = v₃

(x + y*c)*v₁ = v₃

Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.

Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.

If you want to learn more, you can read:

brainly.com/question/13322477

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3 years ago