Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
There is a positive, linear relationship between the correct and guessed calories. The guessed calories for 5 oz. of spaghetti with tomato sauce and the cream-filled snack cake are unusually high and do not appear to fit the overall pattern displayed for the other foods. The correlation is r = 0.825 . This agrees with the positive association observed in the plot; it is not closer to 1 because of the unusual guessed calories for spaghetti and cake. The fact that the guesses are all higher than the true calorie count does not influence the correlation. The correlation r would not change if every guess were 100 calories higher. The correlation r does not change if a constant is added to all values of a variable because the standardized values would be unchanged. The correlation without these two foods is r = 0.984 . The correlation is closer to 1 because the relationship is much stronger without these two foods.
Similar triangles are scales drawing of one another is true, what is the slope of this equations is undefined, to what line equation does the points are solution of sets are,35 the answer
Question 1:
For this case we have an equation of the form:
Where,
- <em>k: inverse variation constant.
</em>
Then, substituting values we have:
From here, we clear the value of k.
We have then:
Answer:
the constant of inverse variation is:
Question 2:
For this case we have:
Where,
- <em>k: constant of variation.
</em>
Then, substituting the value of the constant we have:
We now substitute the value of x:
Answer:
the value of y when x = 4 is:
