Mathematical Induction Questions and Answers

grams a How many different anagrams including nonsensical words can be made from SUCCESS b How many can be made if we require that the first and last letters must both be S c How many distinct arrangements of the word SUCCESS are there with the condition that con sonants always should come together as one block Examples SSSCCUE SSSCCEU CSSSCEU etc

13 Let A 4 3 be the initial side and B 2 5 be the terminal side a Find the ordered pair for vector AB Find the horizontal and vertical components b Find the magnitude of AB Round o the nearest thousandth 0 Find the direction Round to the nearest thousandth

190 10 300 y asinibx f C 180 1 30 360 4 acos bx d

150 yasin x 2 380 b 120 yacos x d 360

3 y 2 3 tan 3 x 2 Choose the correct graph below O A Ay B C Q Q Ay E

Write three to four sentences presenting your prediction about the main conflict in the novel based on how the characters feel about their lives Include evidence to support your prediction

In 2000 the population of St Louis was 346 904 and it decreased to 319 257 in 2010 If this population decrease were modeled by an exponential decay function what value would represent the y intercept Explain your reasoning The y intercept should be This is the population for the GILB known year of data The year first acts as 0 on the graph of the exponential function

Where was Dietrichson murderered in his home on the train at a local speakeasy in his car on the way to the station

The next two questions are from the American Cinema episode on Film Noir Two parallels are drawn between the Western hero and the noir hero they are both loners and many of them are war veterans they are in a hostile environment and they become active parts of it they do not operate by moral principles and they usually are either killed or imprisoned they both wear cool hats

What is a hallmark of postmodern architecture simple clean lines strongly unified elements harmony with the site s natural elements use of many different elements of design