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krok68 [10]
3 years ago
6

Which of the following graphs represents the line of slope 3/2 that passes through the point (1, –1)?

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
Where is the graph???
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The position vector for a particle moving on a helix is
topjm [15]

Answer:

a) 25.15

b)

   x = 1

   y = t

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

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

Step-by-step explanation:

a)

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

b)

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)

c)

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
Simplify: <br> a.) -3^3<br> b.) 1/3^-3
jenyasd209 [6]

Answer:

a.) -9

b.) -1

Step-by-step explanation:

8 0
3 years ago
A man drove 210 miles in 3.5 hours. If the posted speed limit was 55 mph (miles per hour) the entire way, approximately how many
Alona [7]

Answer:

5mph over the speed limit

Step-by-step explanation:

In 1 hour the man drove 210/3.5=60 miles. 60mph is over the speed limit (55) by 5 mph.

5 0
2 years ago
Jhon has $200 caleb had $800 joan has $100 who has the most
dybincka [34]

Answer:

CALEB

Step-by-step explanation:

because 800 is greater than 200 and 100

5 0
3 years ago
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-88-73 positive or negative
dezoksy [38]
It will be negative.
5 0
3 years ago
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