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)
<span>Solution
m = {-13, -1}</span>
Answer:
0.06597
Step-by-step explanation:
Given that thirty-seven percent of the American population has blood type O+
Five Americans are tested for blood group.
Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.
Also probability of any one having this blood group = p = 0.37
So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5
Required probability
=The probability that at least four of the next five Americans tested will have blood type O+
= 
Answer:no because mixed numbers need atleast a one and a fraction to be mixed number but if there was a fraction then it couldnt equal two because of the 1's
Step-by-step explanation:
Answer:
a number plus 14
fourteen more than a number
a number increased by 14
Step-by-step explanation:
The phrases which can be represented by the algebraic expression x + 14 are
Let x = the unknown number
a number plus 14
= x + 14
fourteen more than a number
= x + 14
a number increased by 14
x + 14
