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)
Just Try 84 Bro..............
Answer:
Step-by-step explanation:
case 1
cost of 20oz bottle of soda = $1.20
dividing both side by 20
cost of 20/20 oz bottle of soda = $1.20/20
cost of 1oz bottle of soda = $0.06
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Case 2
cost of 12oz bottle of soda = $0.85
dividing both side by 12
cost of 20/20 oz bottle of soda = $0.85/12
cost of 1oz bottle of soda = $0.07
Based on above calculation, we can see that first deal 20oz bottle of soda at costs $1.20 is better deal as per unit cost is $0.06 which is less than 12 oz can of soda costs $0.85 which is equivalent to $0.07 per unit cost
The decimal equivalent of 1/4 is 0.25.
Answer:
68/35 hope this helps
Step-by-step explanation:
