Question

Please show all work in the space provided for credit. 1.) The function D(h) 10e can be used to find the number of milligrams D of a certain a. How many milligrams will be present after 2 hours? b. When the number of milligrams reaches 1, the drug is to be administered again. drug that is in a patient's bloodstream h hours after the drug has been administered Round your answer to one decimal place. After how many hours will the drug need to be administered? Round your answer to one decimal place. Show work Cryptology is the science of making and breaking codes. This exercise explores how the idea of functions and their inverses can be used to encode and decode messages To encode and decode a message, first replace each letter of the alphabet with a positive integer using the following scheme, thus rewriting the original message as numbers instead of words P-16 K-11 L-12 U-21 V- 22 W-23 B- 2 G- 7 H-8 J-10 Blank - 27 C-3 M-13R-18 D-4 N-14S-19 X-24 T- 20 E-5 O-15 Y-25 ENCODING: A one-to-one function can be used to encode a numerical message For example, suppose you want to that the function f(x) 3x+ 4 will be the encoding function. This function simply describes the procedure used to create the encoded message - in this case multiply by 3 and add 4. First change the letters to corresponding numbers as shown above: 13 1 20 8. Then use these as the input values in f(x). send the message MATH to a friend, and you have decided f(13)- 3(13)+4 43 f(1) 7 f(20) 64 f(8) 28 So the encoded message that you send to your friend is: 43 7 64 28 NOTE: A graphing calculator can be used to evaluate a function as above: a. Press [Y l.on the calculator. Type 3x+4. b. Choose [2"ל(WINDOW) (TBLSET). Set the independent variable to lndpnt: Ask. c. Then choose [2 (GRAPHI (TABLE). Input each x value (13 1 20 8). The calculator will return the function values (43 7 64 28) which is the encoded message. Professor Langford Page

Answer 1