Recent content by Amy Marie

  1. Amy Marie

    Green's Theorem and simple closed curve

    Thank you for your help!
  2. Amy Marie

    Green's Theorem and simple closed curve

    Homework Statement Use, using the result that for a simple closed curve C in the plane the area enclosed is: A = (1/2)∫(x dy - y dx) to find the area inside the curve x^(2/3) + y^(2/3) = 4 Homework Equations Green's Theorem: ∫P dx + Q dy = ∫∫ dQ/dx - dP/dy The Attempt at a Solution I...
  3. Amy Marie

    Evaluating Line Integral with Green's Theorum

    Homework Statement Use Green's Theorum to evaluate the line integral ∫c (x^2)y dx, where c is the unit circle centered at the origin. Homework EquationsThe Attempt at a Solution Taking the partial derivative with respect to y and subtracting it from zero(I'm taking the dy in the original...
  4. Amy Marie

    Transforming a Triple Integral: From Ellipsoid to Sphere

    Homework Statement Evaluate ∫∫∫[W] xz dV, where W is the domain bounded by the elliptic cylinder (x^2)/4 + (y^2)/9 = 1 and the sphere x^2 + y^2 + z^2 = 16 in the first octant x> or = 0, y> or = 0, z> or = 0. Homework Equations First, I tried to find the bounds for z: z = 0 (because z is...
  5. Amy Marie

    Diffraction Question: Find Slit Width & Angle θ

    Thank you for taking the time to look at this!
  6. Amy Marie

    Diffraction Question: Find Slit Width & Angle θ

    I still couldn't get it to work, but thank you!
  7. Amy Marie

    Diffraction Question: Find Slit Width & Angle θ

    Homework Statement The distance between the first and fifth minima of a single-slit diffraction pattern is 0.350 mm with the screen 45.0 cm away from the slit, when light of wavelength 550 nm is used. (a) Find the slit width. (b) Calculate the angle θ of the first diffraction minimum...
  8. Amy Marie

    How Do You Calculate the Magnetic Field Near a Current-Carrying Ribbon?

    Homework Statement Figure 29-61 shows a cross section of a long thin ribbon of width w = 4.91 cm that is carrying a uniformly distributed total current i = 4.61 * 10^-6 A into the page. What is the magnetic field at a point in the plane of the ribbon at a distance 2.16 cm from its edge...
  9. Amy Marie

    Solving Hooke's Law Problem: Find Position of Block

    A block attached to a spring (which is attached to a wall) lies on a horizontal frictionless surface, and the spring constant is 50 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 3.0 N pulls...
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