Answer:
Dilation
Step-by-step explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.
Answer: t=10
Step-by-step explanation:
FOIL 8(2t-6)= 16t-48
Combine like terms 3t+16t-48=2+14t becomes 19t-48=2+14t
Put all t's on same side 19t-14t=2+48
5t=50 Divide by 5 on each side to have t by self
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
<span>Ans : Note that:
sin(x) = sum(n=0 to infinity) [(-1)^n * x^(2n + 1)]/(2n + 1)!.
Then, since the series is alternating, the error in the approximation found by taking the first n terms of the series is no bigger than the n+1'th term. In other words:
E ≤ a_n+1 = x^(2n + 3)/(2n + 3)!.
(Note that a_n does not include (-1)^n, the alternating part)
We need that 1/6 ≤ x^(2n + 3)/(2n + 3)!. Given |x| < 1, n = 2 will be the least integer solution. Thus, we need 2 + 1 = 3 terms.</span>
