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]

For the function, f(x) = -5x 2, find f(-4).

The formula for the lateral area of a right cone is la = rs, where r is the radius of the base and s is the slant height of the cone.which are equivalent equations?

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.