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)
Answer:
the answer is c
Step-by-step explanation:
Answer:
Let's add the total skittles to get our outcome:
25 in total.
5(red skittles)/25(total skittles in all)
7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)
So therefore your expression is:
5/25 x 7/24
Answer:
Translation
Step-by-step explanation:
Vertical and horizontal translation
The javelin will hit the ground 14.66 or 15 seconds upon Maria's release from the said distance. The computation are as follows:
time = distance/speed (d/m)
time = 22 meters/second / 1.5 meters
time = 14.66 seconds or 15 seconds
