Data is a pieces of information true or false

Mathematics

1 answer:

Maru [420]3 years ago

6 0

True because it is used to collect information on data tables and other things.

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The position vector for a particle moving on a helix is

topjm [15]

Answer:

a) 25.15

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

The intersection with the xy plane will occurr when z = 0

This happens at:

t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0

3 years ago

Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct? Line segment NT inter

jolli1 [7]

In fact, both Amanda's and Stephen's profs are correct; they are just using different supplementary angles. Amanda's is using the supplementary angles ∠1 and ∠4, and ∠3 and ∠4, whereas Stephen is using ∠1 and ∠2, and ∠2 and ∠3. Please check the picture to visualize this more effectively.