# Limits & Continuity Questions and Answers

Calculus

Limits & ContinuityThe following are the cash flows of two projects Year Project A 0 81234 1 2 3 4 330 160 160 160 160 Project B 330 230 Project A B If the opportunity cost of capital is 12 what is the profitability index for each project Note Do not round intermediate calculations Round your answers to 4 decimal place 230 230 Profitability Index

Calculus

Limits & ContinuityThe region bounded by the given curves is rotated about the specified axis Find the volume of the resulting solid by any method x y 3 x 4 about y 1 X 92 18

Calculus

Limits & Continuity14 10 points Let 0 0 0 5 0 2 3 and B I A IA Find I B A 10 2 3 0 4 0 1 I 1000 0 1 0 0 0010 0 0 0 1

Calculus

Limits & ContinuityDomain Range 6 Domain Range X O 49 Function y 2345 YTON of Domain Range Function 8

Calculus

Limits & ContinuityExplain your answers in words 1 You are given a graph how do you use VLT Vertical Line Test to decide if the given graph represents a function 2 When a function f x is given how do you evaluate f a b

Calculus

Limits & Continuitycan someone explain me how to do this problem also why do we multiply the First equation by 2 and not the second equation bh anything 36 Find the values of a and b that make f continuous everywhere x x 2 f x 1 4 ax 2x a b VT if x 2 bx 3 if 2 x 3 if x 3 45 2013

Calculus

Limits & ContinuityFill in each matrix for diagonalization of the matrix A A PDP 1 5 Ex 5 2 1 1 6 10 2 3 1

Calculus

Limits & Continuityvaluate the function at the given numbers correct to six decimal places X 8 1 8 05 8 01 8 005 8 001 x 7x8 x 8x X 7 9 7 95 7 99 7 995 7 999 x 7x 8 x 8x uess the value of the limit if it exists Round your answer to three decimal places If an answer does not exist x 7x8

Calculus

Limits & ContinuityGraph the function and its inverse Include the domain restrictions 17 f x x 2 D D

Calculus

Limits & Continuitynd the limit Use l Hospital s Rule if appropriate If there is a more elementary method consider using it 9x 9 XX 1 In x X 1

Calculus

Limits & Continuitynd the limit Use l Hospital s Rule where appropriate If there is a more elementary method consider using it X 5 lim 2 X 5 X 25