So I did the derivative of the function g’(x)=(3x^2)-30x+63 which gives you the points x=7 and x=3 when you factorise but how do I incorporate the (0,6) interval for the answer?

So I did the derivative of the function g’(x)=(3x^2)-30x+63 which gives you the points x=7 and x=3 when you factorise but how do I incorporate the (0,6) interval for the answer?

A carpenter is assigned a job of installing a spa into a pre-existing deck. The dimensions of the deck are 2x wide by (3x + 4) long. The dimensions of the spa are 4x/3 long by x/4 wide. If the...

I would like to know how do you determine which one is f(x) and which one is g(x).

I can't find a definite answer for this question anywhere online, so I would love to see an actual numerical answer and an explanation for this. Thanks in advance.

log base(ab) [2log base(ab)(√a)-1/2log base(ab)√ab(b)]=(log base(ab) (a))^2-(log base(ab)(b))^2 I do not know

integrate √[ (1+y)/(1-y) ]dy from -1 to 0 the answer is: (pi/2) -1

dy/dx= (2cx-x^-1)/((y^-1)-2cy) the c's are constants of integration. I am trying to find a differential equation for the family of curves: ln(xy)=c(x^2+y^2) and can't figure out...

Find the solution of the equation: x^3−3x^2+2x−2=0 Approximate your answer to the nearest hundredth.

Find the solution.

h(x)=x-2 over x to the 3rd-49x. Find the domain.

Use the given conditions to write an equation for the line in the indicated form.

I have a problem on limits. The graph shows two very different equations approaching the same point, but at that point (x=4) there is a hole. Below the hole there is a point at (4,2). What is the...

Evaluate the piecewise function at the given value of the independent variable.

f(x)= 1 over x-2 + 4 over x+8.

For the given functions f and g , find the indicated composition

x over the square root of x-10. Find the domain.

Find and simplify the difference quotients.

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time...

find f'(a)

y=x^(1/2)+cx I can't seem to get the right answer :(

Graph the function.