1. Find or derive an expression for a differential element of charge dq in spherical coordinates. [2] 2. Derive an expression for the rectangular components of the differential vector field dE at an arbitrary point in space r = (x, y, z) due to the differential element dq, located at a particular coordinate (R, θ, ϕ) on the surface of the sphere. That is, the expression should depend on these six quantities (plus k and Q), and should be in rectangular form, dE = (dEx, dEy, dEz), as this is the ONLY way to add up the contributions from every differential element of charge dq. [5]

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

What is the range of the function? f(x)=-2|x+1|? a. all real numbers. b. all real numbers less than or equal to 0. c. all real numbers less than or equal to 1. d. all real numbers greater than or equal to 1