Answer:
First, second, third, and fourth are functions
Step-by-step explanation:
Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.
(answered this on your other question, but I will put it here too!)
Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.
(respondí esto en tu otra pregunta, ¡pero también lo pondré aquí!)
The x-intercepts of a function is determined by replacing y or f(x) to zero since this is the point of x where it crosses the x-axis (y=0). In this case, for f(x)= sin (x + π/4) , we substitute 0 <span>= sin (x + π/4). sin^-1 of zero is also zero and pi. hence
</span><span>x + π/4 = 0
</span>x = -<span>π/4
</span>x + π/4 = <span>π
x = 3</span><span>π/4</span>
Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
Answer:
<em>The price per share after 4 hours is $21.43</em>
<em>The price per share after 20 hours is $4.15</em>
Step-by-step explanation:
<u>Equations</u>
The price of the company's stock is initially at $25.75 per share. Each hour the price drops by $1.08. This condition can be modeled by the function:
Where t is the time in hours.
The sign means the function is decreasing as time passes.
When t=4 hours, the price will be:
The price per share after 4 hours is $21.43
Now find the price when t=20 hours
The price per share after 20 hours is $4.15
Answer:
63.0769230769
Step-by-step explanation:
