(1) give a recursive definition of the set p of all positive integers greater than 5,
(2) formulate the applicable induction principle and
(3) then apply the induction principle to prove that
2n - 3 = 2^(n-2) for all n > 5.

Jason needs to learn a new web tool. he went through his books to understand more about it. now he wants hands-on experience with using that tool. what would him? jason can use websites where workspace is provided to test the results of your code.

For a typical middle-income family, what is the estimated cost of raising a child to the age of 18? $145,500 $245,340 $304,340 $455,500

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?