All Answers 358177 Answers

+3146

0

[input]100*2330kJ/559kcal[/input]
=99.55472972129974%

adminMay 21, 2012

+3146

0

[input]solve( a+b = 5, a*b = 4)[/input]

{a=4, b=1, a=1, b=4}
[input]a=4; b=1; a^2 + b^2[/input]
[input]a=1; b=4; a^2 + b^2[/input]
[input]a=4; b=1; a^4+ b^4[/input]
[input]a=1; b=4; a^4+ b^4[/input]

adminMay 21, 2012

+35

0

The winner gets money.

MathiMay 21, 2012

+35

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Hint: You can't find it exactly, but to get reasonably close, use the power series expansion for cosine of x, and plug in i for x.

MathiMay 21, 2012

+35

0

The winner gets money.

MathiMay 21, 2012

+35

0

(4.88 X 10^-22) X ( 6.02 X 10^23)=293.776

MathiMay 21, 2012

+3146

0

[input]x-2+0=8[/input]

adminMay 21, 2012

+3146

0

adminMay 21, 2012

+3146

0

55.50 * 70 %
55.50 * 70/100
3885/100
38.85

[input]55.50 * 70%[/input]

adminMay 21, 2012

0

GuestMay 21, 2012

+35

0

MathiMay 21, 2012

+35

0

The area of the triangle would be (7/16) yards.

MathiMay 21, 2012

+35

0

Hint: You can't find it exactly, but to get reasonably close, use the power series expansion for cosine of x, and plug in i for x.

MathiMay 21, 2012

0

84 multipied by .5 is 84 halved which is 42

GuestMay 21, 2012

May 20, 2012

+3146

0

(1+x)^20=2
[input]2^(1/20)-1[/input]
about 3.5%

adminMay 20, 2012

+3146

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[input]100000000 = 20^x[/input]

[input]6.148974294721927*5min in min[/input]

about 30minutes.

adminMay 20, 2012

+3146

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[input]round( 0.232911, 3)[/input]

adminMay 20, 2012

+3146

0

[input]sqrt(66)[/input]

adminMay 20, 2012

0

84 divided by 0.5 is the same as 84 divided by 1/2

84/1/2 = 84*2 = 168

GuestMay 20, 2012

0

Do it step-by-step using implicit differentiation
y' means here dy/dx

step 1. diffrentiate both sides

1.1 d(xy +y^3)/dx = d (1)/dx
1.2 y + x d(y)/dx + 3y^2 d(y)/dx = 0 using power rule, composition rule and constant rule
1.3 ( x+ 3y^2) dy/dx = -y

1.4 Hence y' = -y / ( x+ 3y^2)

step 2.From here you can find y", the second derivative of y with respect to x.
Just differentiate both sides. I choose 1.3, but you can also use 1.4 and use Quotient Rule
2.1 (1+6yy' ) y' + (x+3y^2) y'' = -y' Using multiplication rule on the left side.

2.2 Conclusion
y " = -[ 2 y' + +6y(y'^2) ] / ( x + 3y^2) where y' = - y/ ( x+ 3y^2)

No need to replace y' by its value in terms of x and y if no-one asks for it.

I put in place a website dealing with AP-calculus, International Baccalaureate, ACT, College Physics. It will be online by the end of June 2012
By AGLAB.
Contact us @ aglab@live.com

GuestMay 20, 2012

May 19, 2012

0

a=1-(b/6)
b=6-6a

GuestMay 19, 2012

0

We need the maximum of x*y if x+y=50.
y=50-x
Substitute in x*y and you get x*(50-x), or 50x-x^2.
Fermat's theorem says that for Maximum and Minimum values to exist, their derivatives must by 0:
d(50x-x^2)/dx=50-2x=0
2x=50
x=25
Since y=50-x, y=25
Since both x and y are the same, the shape is a square.

GuestMay 19, 2012

0

GuestMay 19, 2012

0

Mr. joshi:
Question NOT clear; you say 'you can't use decimal'. Does it mean that you want avoid decimal or not allowed to express the result in decimal? If you REQUIRE specific or exact value then you CAN'T AVOID decimal. But if want to simplify or evaluate an expression, then you can avoid. In this situation:

Sqrt14=sqrt2*sqrt7. Satisfied?

Actually, you can't simplify sqrt14 because 14 isn't divisible by 2^2=4. You should know, however, that sqrt14 is very close to 4, since it is between sqrt9 (which is 3) and sqrt16 (which is 4), but is closer to sqrt16.

GuestMay 19, 2012

May 18, 2012

+3146

0

[input]850$ * 23.5%[/input]

adminMay 18, 2012

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