a rectangle with sides parallel to the axis has one vertex at the origin and the opposite vertex on the curve
y = Ax^N at the point where x = B (A > 0, N > 0, B > 0). Show that the fraction of the area of the rectangle that lies below the curve on the N but is independent on the A and B.
a rectangle with sides parallel to the axis has one vertex at the origin and the opposite vertex on the curve y = Ax^N a...
9. A cube has one corner at the origin and the opposite corner at the point (2m, 2m, 2m). The sides of the cube are parallel to the coordinate planes as shown in the figure below. The electric field (measured in N/c) in and around the cube is given by E 31 - 7zk where z is in meters. What is the total flux through the entire cube? b. +56 Nm2/C d. +24 Nm2/c e. -56 Nm2/C (2,2,2) (0,0,0)
6. The curve y = ex, the x-axis, the y-axis and the vertical line x = 4 bound a closed region. Find the dimensions of the largest (area) rectangle that can be inscribed in this region with one of its sides on the x-axis (see given figure). X=4
Suppose a parabola has its vertex at the origin and its focus on the y-axis. And suppose it passes through the point (2.7). Find the equation of the parabola.
Java Object Oriented Create a class that models a rectangle located in the first Cartesian quadrant. The class should store information about a rectangle such that it can be drawn in an X,Y cartesian coordinate system, including rectangles which are not aligned parallel to the X-Y axes, that is, they are oriented making an angle with the X axis. Your class should provide one constructor methods for specifying the rectangle The constructor should receive the rectangle area, the length of...
A rectangular loop of wire has a length 2a in the x direction and a width 2b in the y direction. The loop lies in the z = 0 plane and is centered at the origin. Assuming that the loop carries a current of I Amps counterclockwise, as viewed from the positive z axis, find the magnetic field vector H at the center of the loop. Hint: Consider how the contributions from opposite sides of the rectangle compare, to save...
An electron moving parallel to the x-axis has an initial speed of 4.98 × 106m/s at the origin. Its speed is reduced to 1.76 × 105m/s at the point x= 2.00 cm.(a) Calculate the electric potential difference between the origin and that point.(b) Which point is at the higher potential?
Question 2 The Figure below shows an area called a "spandrel", enclosed by the curve y = kx^n where n = 17.4, k = 1 and the limit of integration in the x-axis is b = 20.4 [units]. Determine: a) the value of the y limit of integration in [units]. b) the area of the spandrel is [square units] c) the distance of the x-centroid from the origin in [units]. d) the distance of the y-centroid from the origin in...
(1 point) Two long wires are parallel to the z axis and are located at x = 0, y = +a. Take a = 9 cm. a) Find B at point P with b = 10 cm, given that the wires carry equal currents in opposite direction I = 12 = 7A. B =( јт b) At what point is B equal to 45 % of the magnitude of the magnetic field at origin (0,0,0)? (Hint, find the magentic field...
Multiple choice questions Question 1 The graph of y=5 + 9x - 2r2 (24, 154) (22 154) 1. opens downwards and has vertex 2. opens upwards and has vertex 3. opens downwards and has vertex 4. opensupwards and has vertex 5. opens downwards and has vertex (-24154) Question 2 -5 20 are the values of for which the graph of y 2r2 - 11115 The solutions of T 3-r 1. lies above the r-axis 2. lies -axis, excluding on or...
Consider the region bounded by the graphs of y # ax', y abn, :0.(b>1. See Figure.) and x (a) Find the ratio R(n) of the area of the region to the area of the circumscribed rectangle R1(n)-| n + 1 (b) Find the limit shown below. lim Ri(n) Find the limit of the area of the circumscribed rectangle as n approaches in (e) Find the volume of the solid of revolution formed by revolving the region about the yraxis. rab2...