&3 A syare Pyramid har side= st and heaet-12.ft. Find the olme. S. A. - Sam daubles the height of the Pyramid....
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++ 6- +++++++++ 7- +++++++ 8- ++++++++++++++ 9- Calculate the average density of the following astronomical body: Mars. Mars = kg/m3 Where does the value fit among those listed in the table below? Look up the density of a typical rock, such as granite in another source and compare the density of Mars to it. A proton, which is the nucleus of a hydrogen atom,...
11. Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of the labeled edges.) 3. The solid lies between planes perpendicular to the x-axis at x= -1 and x = 1. The cross-sections perpendicular to the I-axis between these planes are squares whose bases run from the semicircle y = -VI-to the semicircle y = VI- 4. The solid lies between planes perpendicular to the x-axis at x= -1 and .x = 1. The cross-sections...