Show, by integrating Coulomb’s Law, that the field anywhere inside of a spherical shell with uniform surface-charge distribution, is zero. You are not allowed to make use of Gauss’ Theorem. Hint: start by showing that the field anywhere along an axis of the sphere is zero. Then, reason that any point within the sphere can be considered to be along a symmetry axis. Warning: be careful, once you do the integral, to make sure you take consistent signs for square roots.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

75%

step-by-step explanation:

answer: 12,000

step-by-step explanation: first you ar e supposed to add. then multiply then subtract

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this