Answer:
(c) 
will be perpendicular to the line y = 3x+2
Step-by-step explanation:
We have given the the equation of line as y = 3x+2
We know the equation of line as y = mx+c , here m is slope and c is intercept
On comparing with standard equation of line m = 3
We know that slope of perpendicular line is 
So the slope of the line which is perpendicular to y = 3x+2 will be 
Now (a) Line is given as 
its slope is 
so it will be not perpendicular
(b) Line is given as 
its slope is so it will be not perpendicular
(c) Line is given as its slope is 
so it will be perpendicular to the line y = 3x+2
(d) Line is given as 
its slope is 3 so it will not perpendicular to the line y = 3x+2
Answer: Irrational
Step-by-step explanation:
They're called equivalent expressions
Answer:
27 dollars a week
Step-by-step explanation:
Well there’s 72 weeks in 18 months so 2,000 divided 72 equals 27.
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)
