Answer:
What?
Step-by-step explanation:
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:
See explanation
Step-by-step explanation:
1. The given function is
The domain values are: x=0, 2, -1, 4, -2
When x=0
When x=2,
When x=-1
When x=4
When x=-2
2. The given function is
When x=3,
Similarly,
Answer:
30+75x
Step-by-step explanation:
Answer:
55 and 55 or 70 and 40
Step-by-step explanation:
A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.
