Calculus

posted by .

Find the equation of the curve passing through P (1,2) whose slope is the square root of the product of the coordinates of any point on the curve.

  • Calculus -

    dy/dx = (x*y)^0.5

    Integrate and solve for y, find the constant by making sure it passes through (1/2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    a straight line passing through the origin with slope m cuts the circle x^2+y^2-4x-2y-4=0 at A(a,b) and B(b,c). A. Find a quadratic equation whose roots are a and c ans: (1+m^2)x^2-(2m+4)x-4=0 B. if P is the mid-point of AB, find the …
  2. 12th Grade Calculus

    1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve?
  3. calculus

    find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3
  4. calculus

    is the answer to find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3 is y=2x^2-1
  5. calculus

    1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve …
  6. calculus

    Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1) b. Write an equation of each horizontal tangent line to the curve. c. The line through the origin with slope -1 is tangent to the curve …
  7. Calculus Help Please!!! Check

    A curve passes through the point (0, 2) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find an equation of the curve. dy/dp = 3y or ∫ (3/y) dy = ∫ dp or 3 ln(y) = …
  8. Calculus

    A curve passes through the point (7,6) and has the property that the slope of the curve at every point P is 4 times the y-coordinate of P. What is the equation of the curve?
  9. calculus

    a particle is moving along the curve whose equation is" y=x^2?
  10. Calculus

    Find the xy-equation of the curve that passes through (-2, -2) and whose slope at any point on the curve is equal to 5 times the x-coordinate of that point

More Similar Questions