3 years ago

A ball is thrown in the air from a ledge. Its height in feet is represented by

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

check the picture below.

$\bf \stackrel{f(x)}{0}=-16(x^2-6x-7)\implies 0=x^2-6x-7 \\\\\\ 0=(x-7)(x+1)\implies x= \begin{cases} \boxed{7}\\ -1 \end{cases}$

it cannot be -1, because is a seconds amount after moving.

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Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (

natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy$

since D is the rectangle such that 0<x<3 , 0<y<3

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4$