Look at the following problem. Which step should occur first to solve this problem? 2 + (3 - 9) ÷ 4 ⋅ 4

Mathematics

2 answers:

love history [14]3 years ago

7 0

Anything in parentheses always come first when solving a problem:) so the answer would be, 2 :) <span />

Aleonysh [2.5K]3 years ago

4 0

The first step that should occur first is (3-9).

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Use cylindrical coordinates. evaluate x dv e , where e is enclosed by the planes z = 0 and z = x + y + 10 and by the cylinders x

gizmo_the_mogwai [7]

In cylindrical coordinates,

$\begin{cases}x(X,Y,Z)=X\cos Y\\y(X,Y,Z)=X\sin Y\\z(X,Y,Z)=Z\end{cases}\implies\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=X\,\mathrm dX\,\mathrm dY\,\mathrm dZ$

Then the integral is

$\displaystyle\iiint_Ex\,\mathrm dV=\int_{Y=0}^{Y=2\pi}\int_{X=4}^{X=6}\int_{Z=0}^{Z=X\cos Y+X\sin Y+10}X\cos Y\times X\,\mathrm dZ\,\mathrm dX\,\mathrm dY$
$=\displaystyle\int_{Y=0}^{Y=2\pi}\int_{X=4}^{X=6}(10X^2\cos Y+X^3\cos^2Y+X^3\cos Y\sin Y)\,\mathrm dX\,\mathrm dY$
$=\displaystyle\int_{Y=0}^{Y=2\pi}\left(\dfrac{1520}3\cos Y+260\cos^2Y+260\cos Y\sin Y\right)\,\mathrm dY=260\pi$

5 0

4 years ago

Please help me for 15 points

stich3 [128]

Answer:

x=0 , x=-3

Step-by-step explanation:

Apply all exponent rules:

$3^{x+3}$ = $3^{x}$ × $3^{3}$