Your answer is B. twice v.
This is because if you were to write out 2v as an expression with its operations, it would be 2 × v, and if you are multiplying v by 2, then the result will be twice the value of v.
I hope this helps!
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)
Given that we need to determine the radius of the circle.
<u>Radius:</u>
By definition of radius of circle, the radius is the length of the line which is drawn from the center of the circle to any point on the circle.
From the figure, we need to determine the radius of the circle.
As, we can see that, the distance from the center of the circle to the point on the circle is 11 cm.
Since, we know that, the radius is the distance from the center of the circle to the point on the circle then, the radius of the given circle is 11 cm
Thus, radius of the circle is 11 cm.
Have you tried using the website slader? It has answers for all your questions just search up slader on google then search your book on the website.
yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.
