
Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.
F(x+1) = f(x) + 2.5 with f(x) is the current number.
Answer:
<em>a) </em>
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<em>b) The coordinates of P are</em>
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Step-by-step explanation:
<u>Translation</u>
The dashed line shows the graph of the function

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:

b) The coordinates of P correspond to the value of

The value of G is

Since


The coordinates of P are

Answer:
- B. When the peak temperature is 40°C, 72 units of electricity are used on average.
Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
<u>Approximate points:</u>
<u>The slope of the line:</u>
- m = (54 - 34)/(34- 30) = 20/4 = 5
<u>The line is:</u>
- y - 34 = 5(x - 30)
- y = 5x - 116
<u>At x = 40, the value of y would be:</u>
The closet option is B