Calculus

That is the standard equation to graph a line.

3x2 has x, x2 , and 3 as factors. 2x-5 does not have any of those as factors. So the greatest common factor is 1. If you were adding rational expressions with those two expressions in the denominator, you would need to multiply them together to find the least common denominator.

y(z+x) + 4(x+z)

-18

76 is composite.

If the hole is empty, zero. If it is filled completely with water, 16*16*16 = 4096 units³.

T=theta so that it will not look so messy.

g(T)=TcscT

To find the first derivative, you must use the product rule. Product rule is derivative of the first times the second, plus the first times the derivative of the second, which will give you:

g'(T)=0xcscT + Tx-cscTcotT, which simplifies: g'(T)= -cscTxcotT

Now, take the derivative of that to get the second derivatice. In order to do that, you have to do the product rule again.

g"(T)=(cscTcotT)cotT + -cscT(-csc^2T) {that's csc squared} which simplifies:

g"(T)= cscTcot^2(T) + csc^3 (T)

3139.5

They both measure a linear relationship between two variables.

If you mean: x/6 +11 = 20 then the value of x is 54

Check: 54/6 +11 = 20

4 3/5 x 2/3 = 23/5 x 2/3 = 46/15 = 3 and one-fifteenth

X + y = 8

x - y = 6

add equations to eliminate y

2x = 14

x = 7

substitute

7 + y = 8

y = 1

9a2=24a-16

9a2-24a+16=0

(3a-4)(3a-4)=0

3a-4=0

a=4/3 double root

x = yz/(y - z)

It is 0 cuz there is no 5.

4

150 * 100 = 15,000

X intercept: -5

Y intercept: +3

We don't actually know how many dimensions there really are. Certain theoretical considerations imply that there are at least 10 or 11, it's just that most of them are "curled up small" and we don't notice them.

That said, a 4D object cannot fully exist in a 3D space. However, a 3 dimensional "slice" of them can exist in that space, just like a 2D "slice" of a 3D object can exist in a 2D space.

7.5

(cos(pi x) + sin(pi y) )^8 = 44

differentiate both sides with respect to x

8 ( cos(pi x) + sin (pi y ) )^7 d/dx ( cos(pi x) + sin (pi y) = 0

8 ( cos(pi x) + sin (pi y ) )^7 (-sin (pi x) pi + cos (pi y) pi dy/dx ) = 0

8 ( cos(pi x) + sin (pi y ) )^7 (pi cos(pi y) dy/dx - pi sin (pi x) ) = 0

cos(pi y) dy/dx - pi sin(pi x) = 0

cos(pi y) dy/dx = sin(pi x)

dy/dx = sin (pi x) / cos(pi y)

7

there is 1000 mb in a gig I believe

(1/x) + (1/y) + (1/z) is a minimum value when x=y=z=10.

Symmetry gives either maximum or minimum value.

only if z=10