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3 years ago

What is 3x − 7 + 2x in simplified form

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

5x-7

Step-by-step explanation:

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Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your

love history [14]

If we substitute $x=r\cos\theta$ and $y=r\sin\theta$ , we get $r^2=x^2+y^2$ , so that

$z=\cos(x^2+y^2)=\cos(r^2)$

which is independent of $\theta$ , which in turn means the surface can be treated like a surface of revolution.

Consider the function $f(t)=\cos(t^2)$ defined over $0\le t\le1$ . Revolve the curve $C$ described by $f(t)$ about the line $t=0$ . The area of the surface obtained in this way is then

$\displaystyle2\pi\int_C\mathrm dS=2\pi\int_0^1\sqrt{1+f'(t)^2}\,\mathrm dt$

$=\displaystyle2\pi\int_0^1\sqrt{1+(-2t\sin(t^2))^2}\,\mathrm dt$

$=\displaystyle2\pi\int_0^1\sqrt{1+4t^2\sin^2(t^2)}\,\mathrm dt\approx7.4144$

4 0

3 years ago

Find the area of the surface the part of the plane y=x^2 y^2 cylinder x^2 z^2=16

Anestetic [448]

The area of the surface is 144.708

The equation of the given surface is,

z=g(x,y)=xy

Solving the partial derivatives,

∂g∂x=y,∂g∂y=x

Substituting to the formula

S=∬√1+( ∂g∂x)2+(∂g∂y)2dA

Thus,

S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA

The region in the XY-plane is defined by the intervals 0≤θ≤2π,0≤r≤4

Converting the integral into polar coordinates,

S=∫2π0∫40√1+r2rdrdθ

Integrating with respect to r

S=∫2π0[13(1+r2)32]40dθ

S=∫2π0(17√173−13)dθ

Integrating with respect to θ

S=(17√173−13)[θ]2π0

S≈144.708

For more information about areas, visit

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8 0

2 years ago

Find the value of x that makes m\ \n.

Fofino [41]

Answer:

x = 15

Step-by-step explanation:

These angles are supplementary so you'd set up an equation like 3x -15 +150 = 180 then solve for x from there.

5 0

3 years ago

What is the unit rate of five and 15?

-BARSIC- [3]

For miles... 0.333333 Miles per Mile

6 0

3 years ago

A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per

ladessa [460]

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

3 0

3 years ago