Un móvil azul de 573 g se encuentra en movimiento sobre un carril metálico. Si sobre el móvil, el resorte ejerce una fuerza haci
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The functions are:
i)
ii)
.
We note that both Sin and Cos functions cannot produces values smaller than -1, or larger than 1.
In other words, the range of both these functions is [-1, 1].
Whatever expression A is, sin(A) and cos(A) are values in [-1, 1].
Assume
produced its maximal value, 1, then 
makes this value 3.
Thus, the maximum value of g(x) is 3, as can be also seen in the graph.
Similarly, assume cos(x) produced 1, then 2cos(x) makes it 2. Thus, the greatest value of f(x) is 2.
Answer: max{f(x)}=2, max{g(x)}=3, so g has the largest maximal value.
i)
ii)
We note that both Sin and Cos functions cannot produces values smaller than -1, or larger than 1.
In other words, the range of both these functions is [-1, 1].
Whatever expression A is, sin(A) and cos(A) are values in [-1, 1].
Assume
Thus, the maximum value of g(x) is 3, as can be also seen in the graph.
Similarly, assume cos(x) produced 1, then 2cos(x) makes it 2. Thus, the greatest value of f(x) is 2.
Answer: max{f(x)}=2, max{g(x)}=3, so g has the largest maximal value.
Answer:
where
denotes speed of the car
Step-by-step explanation:
Given: The speed limit on a city street is 35 kilometers per hour.
To write and graph: an inequality to describe a car’s possible speed.
Solution:
Let the speed of a car be kilometers per hour.
As the speed limit on a city street is 35 kilometers per hour,
First draw the graph of (see figure a.)
Plot the points
Take a point on the left side of line x = 35 say and put it in
which is true.
So, shade the graph on the left side of line x = 35
See the graph b.
the pink part represents the inequality
