Calculus

It cannot be solved because there is no =

The answer will depend on what a furit is. I cannot find such a word.

It is easy if that side is the one that is x!

It is not possible to give a sensible answer to the question because you have not bothered to specify what x is.

(0,2) is one possible answer.

exe-1

If you require more information, send me a message, I assume that you know basic calculus but haven't used in in applications like this.

It is: (x+9)(x-1) when factored.

Quadratic - the degree is two.

y = 6*x1/2 - 3x

dy/dx = 6*(1/2)*x-1/2 - 3

= 3x-1/2 - 3 = 3/sqrt(x) - 3 or 3[1/sqrt(x) - 1]

X=251

It is the equation of a circle with radius of 6

and its center at the origin.

Do you mean,

2 + 3^x = 245 ??

2 + 3^x = 245

subtract 2 from each side

3^x = 243

use natural logs ( I always do, though you can use logs )

ln(3^x) = ln(243)

you have the right in this operation to bring the exponent before the natural log

x(ln3) = ln(243)

divide

x = ln(243)/ln(3) ( not ln(243/3) !!!! )

x = 5.493061443/1.098612289

x = 5

----------check

2 + 3^5 = 245

2 + 243 = 245

245 = 245

===========checks

Yes, but only when x is equal to zero.

derivative of 9[sin(x)]^2 is found by first letting u(x)=[sin(x)]^2. Note that sin2x = [sin(x)]^2, and the ^2 means raising the base to the exponent 2.

Find the d(9u(x))/dx using the chain rule.

d( 9u(x) )/dx = (d(9u)/du)(du/dx ) , by the chain rule.

So we need:

d(9u)/du = 9ulog(9)

du/dx = d( [sin(x)]^2 )/dx = 2sin(x) d( sin(x) )/dx = 2sin(x)cos(x)

Puttin this together gives:

d( 9u(x) )/dx = 9u(log(9)) 2sin(x)cos(x)

Now substitute in u(x) = [sin(x)]^2.

d( 9u(x) )/dx = 9[sin(x)]^2(log(9)) 2sin(x)cos(x)

= 2 log(9) 9[sin(x)]^2sin(x)cos(x) or

= log(9) 9[sin(x)]^2sin(2x)

4

q( enthalpy of heat in Joules-energy ) = Mass of steel * heat capacity of steel * ( Temperature final - temperature initial )

yes, but if you have a hard drive you can play them on xbox 360

-2

-7

186

-14

f(x) = arccos(x) / 2

f'(x) = -1/(2√(1 - x2))

5

y + x = -2 x = -y - 2
Plug in numbers for y and solve for x. Then graph the x's and y's, and connect the dots. The x direction is right tot left. The y direction is up and down. So if y = -1, then x = -1. If y = 1 then x=-3.

The slope of a line perpindicular to y=-2x+5 is 1/2 because a perpindicular slope is the negative reciprocal of the slope.

2x+1=6 -1 -1
2x=5
/2 /2
x=2.5 or 2 1/2