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4 years ago

Estimate the area of a circle with a radius of 27 meters

Mathematics

2 answers:

ycow [4]4 years ago

7 0

2289.06 meters squared

serg [7]4 years ago

6 0

2289.06 meters squared

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Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2

jek_recluse [69]

Answer:

y=mx+b

-2(10)+b=-9

b=11

y=-2x+11

5 0

3 years ago

Write the slopes intercept form of the equation of the line through the given points.

Anika [276]

Slope intercept form
y=mx+b
m=slope
b=yintercept

slope for the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(2,-2) and (2,-3)
slope=(-3-(-2))/(2-2)=(-1)/0=undefined

y=undefinedx
this means that the equation is x=something
we see
(x,y)
(2,-2)
(2,-3)
x=2 is the equation
we cannot write it in slope intercept form

8 0

3 years ago

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

3 years ago

Solve the equation p=2q + 2w for q.

elena-s [515]

Answer:

q = 1 /2 p − w

Step-by-step explanation:

4 0

3 years ago

A canvan crosses 1,738 miles of desert in 85 days l. It traveled 22 miles on the first day and 28 miles on the second day. If th

joja [24]

Answer:

Okay. So first you add 22+28=50. Then subtract 1,738-50=1,688. Then divide 1,688 by 2 witch should give you an answer of 844 miles each day. Hope it helped!

Step-by-step explanation:

3 0

3 years ago