Find a point on the y-axis that is equidistant from (6, -6) and (1, 1). Find...
6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer: 6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer:
Two point charges are lying on the y- axis as in the figure: q1 = -4.90 μC and q2 = +4.90 μC. They are equidistant from the point P, which lies on the x- axis. (a) What is the magnitude of net electric field at P? (b) A small object of charge q0 = 7.40 μC and mass m = 1.13 g is placed at P. When it is released, what is the magnitude of its acceleration?
CL-6 An electron is at the point (xm4m,y=3m). A charge 41-3uC is on the y axis and q x axis as shown in the figure. +2.50uC is on the a) Show on the figure the electric force of each charge on the electron. Also show the net force on the 3m b) Find the x component of the electric force on the c) Find the y component of the electric force on the d) Find the magnitude of the net...
1. y = -x/6 + 1, y = x/2 + 1, x = 6 Axis of revolution: y = 0. a) Sketch of the region bounded by the given functions and sketch the axis of revolution (1 point). b) Set up (but do not evaluate) an integral to determine the volume of the solid obtained by rotating the region bounded by the functions around the axis of revolution. Use the disk method or the cylindrical shells method (3 points). c)...
Find an equation for the plane consisting of all points that are equidistant from the points (-4, 4, 1) and (2, 6, 5).
(1 point) Find the length of the curve defined by y=18(8x2−1ln(x))y=18(8x2−1ln(x)) from x=4x=4 to x=8 (1 point) Find the area of the region enclosed by the curves: 2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5 HINT: Sketch the region! (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9; about the x-axis. (1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
Two charges are separated by a distance d = 1 m along the y -axis, bisected by the x -axis. The upper charge has q1 = +2 x 10-9 C and the lower charge has q2 = -3 x 10-9 C. At position P along the x -axis, which is equidistant from each charge by distance d, what is the y component of the net electric field? y d d X P d
Point x is equidistant from two particles with net charges ofq and -g of equal magnitude. If a negative point charge is at the position marked by the x, the direction of the net electrical force on the negative point charge is tg down. up left right
(1 point) As viewed from above, a swimming pool has the shape of the ellipse 6400 2500 where x and y are measured in feet. The cross sections perpendicular to the x-axis are squares. Find the total volume of the pool. cubic feet (1 point) As viewed from above, a swimming pool has the shape of the ellipse 6400 2500 where x and y are measured in feet. The cross sections perpendicular to the x-axis are squares. Find the total...
(1 point) P 3 cm Two long wires are parallel to the z axis and are located at x = 0, y = ta. Take a = I2 = 6 A a) Find B at point P with b 2 cm, given that the wires carry equal currents in opposite direction I1 B (5.5410^-5)) от b) At what point is B equal to 15% of its value at x = 0? b8.81 cm