Let D be the smaller cap cut from a solid ball of radius 14 units by a plane 7 units from the center of the sphere. Express the volume of D as an iterated triple integral in Bold (a )spherical, Bold (b )cylindrical, and Bold (c )rectangular coordinates. Then Bold (d )find the volume by evaluating one of the three triple integrals.

Question 3(multiple choice worth 1 points) use the arc length formula and the given information to find r. s = 16 cm, θ = 48°; r = ? sixty divided by pi cm thirty divided by pi cm one third cm one hundred twenty divided by pi cm

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.