During harvest season, Amri will collect all rice husks in conical pile by using a machine. The machines will pour the rice husks on the horizontal land at the rate of 13/90π m³ per minute to form a conical pile of semi vertical angle 30°. Find the rate of change of the height of rice husks at the instant when t=15.​

Step-by-step explanation:

My textbook says that a ball dropped vertically and a ball thrown sideways will not only both land simultaneously but their height will be corresponding for the entire fall, as shown in a diagram which has a ball falling vertically and a ball with an arch landing simultaneously.

This has really struck me as it feels intuitive that the ball dropped vertically would land faster, perhaps due to it traveling a shorter distance.

When I tried to think about it for myself, I came to the thought that perhaps it was due to gravity constantly pulling both of the balls, however would the sideways velocity not slow it downwards speed? For eg wouldn't a bullet take longer to land than a dropped bullet as it is traveling straight?

heyyy

step-by-step explanation:

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: