Afull binary tree has 24 leaves. deduce a lower bound for its height. (b) let t be a full 4-ary tree of height h, where h > 0. assume that t has 78 internal vertices. i. how many vertices does t have? ii. deduce a lower bound h for the height of t. iii. assume t is balanced and of height precisely this lower bound h computed in ii. for each level of t, identify the total number of internal vertices and the number of leaves.

Create a cell reference in a formula by typing in the cell name or         a. right-clicking the cell. b. clicking the cell. c. clicking the column where the cell is located. d. clicking the row where the cell is located.

What is a distinguishing feature of today’s graphic application software?) graphic applications are used today on a variety of devices, including touch-screen kiosks and mobile phones.

Write a function balancechemical to balance chemical reactions by solving a linear set of equations. the inputs arguments are: reagents: symbols of reagents in string row array products: symbols of products in string row array elements: elements in the reaction in string row array elcmpreag: elemental composition of reactants in two dimensional numeric array elcmpprdcts: elemental composition of prducts in two dimensional numeric array hint: the first part of the problem is setting up the set of linear equations that should be solve. the second part of the problem is to find the integers from the solution. one way to do this is to mulitiply the rational basis for the nullspace by increasing larger integers until both the left-and right-side integers exist. for example, for the reaction that involves reacting with to produce and : reagents=["ch4", "o2"]; products =["co2", "h2o"]; elements =["c","h", "o"] elcmpreag=[1,4,0;