Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"

Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"

Find an equation of the line having the given slope and containing the given point. Sope: 1/2 through: (- 6, 2).

Suppose (-3, 5) is a point on the graph of y = g(x) What is the point on the graph of: y = g(x+1) - 3

Find the point on the line 5x+3y+1=0 which is closest to the point (–1,3). x= ? y=?

A spider is climbing on a wall. It starts at point A, moves straight up 15 inches, to the right 7 inches and then straight down 6 inches to stop at point B. If M represents the midpoint of AB, then...

I just need to understand how its done. I don't understand the midpoint formula.

write equation of parabola that has vertex (2,0) and goes through point (1,3) show work please

write equation of parabola that has vertex (-3,0) and goes through point (-5,4) please show work

Choose the point which is a solution to the system of inequalities: y <(line underneath)-x + 7 y < 3x + 11 Choose one answer. A. (5, 5) B...

Write the equation of the parabola in vertex form given the vertex: (1/4, -3/2) and point (1,3)

Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -3.

Consider the two lines L1: x = -2t, y = 1 + 2t, z = 3t and L2: x = -9 + 5 s, y = 5 s, z = 2 + 4 s Find the point of intersection of the two lines....

Find the point on the line 4x+6y+1=0 which is closest to the point (-1,1)

I just don't understand at all. Could you maybe give me an example, then show your work and solve it?

Find the shortest distance from the point P= (7, 6, 4 ) to a point on the line given by l: (x,y,z)= (-7 t, 7 t, 1 t). the distance is:

A) no slope B) 0 C) 5/4