Y=e^-0.3t would better be written as y<span>=e^(-0.3t), because you want to emphasize that the exponent of "e" is -0.3t. Enclose the expon. within ( ), ps.
Since the expo is neg, this is expo. decay, and the rate is 0.3 per time period.
For example, if y is = to .5 right now, the next value, after 1 time period, will be
.5(.3) = .15.</span>
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
Answer:
Part A: Up 9
Part B: Up 6
Step-by-step explanation:
Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.
Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:
- a is the vertical stretch
- b is the horizontal shift
- k is the vertical shift
A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.
Answer:
11.108
Step-by-step explanation: