Answer:
48 inches
Step-by-step explanation:
12 in=1
24 in = 2
36 in = 3
48 in = 4
Add 12 everytime
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:
18
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)
Now simplify by taking the square root of 100 to get:
Divide numerator and denomiator by 10 to get:
Answer:
Step-by-step explanation:
x=3 and x=-4 are parallel, vertical lines
:::::
x-y = 3, slope = 1
2x-2y = 10, slope = 1
Parallel lines
