Answer:
179.59
Step-by-step explanation:
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Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
So first you subtract 2001-1682=319.
There is just 1 step, and it is hard to show work here.
Hope this helped! :)
Answer:
2, 5, 7, 12, 19, 31, 50
every number equals the two before it 7=5+2
9, 11, 20, 31, 51, 82, 133
every number equals the two before it 20=9+11
2, 5, 10, 50, 500, 25000 ,12500000
each number equals the two numbers before it multiplied 10=5*2
1, 3, 3, 9, 27, 243, 6561
ach number equals the two numbers before it multiplied 3=1*3
Hope This Helps :D