Questions

Let A 3 2 2 2 Then the sum of the eigen values of A 1 Select one O True O False

The determine of 5 0 101 25 30 40 L 15 5 20 Select one O 1 5 5 4 5 a LO 02 6 8 3 1 4 b 102 5 68 3 14 9 1 55 68 3 1 4 d 02 102 6 8 3 1 4 5 5

let A 1 x 1 7 x 1 0 x O O O 0 0 Select one a x 6 only b x 1 or x 0 c x 1 only d x 1 or x 0 if det A 0 then value of x

5 54 54 55 55 56 57 OOO Select one i in b 25 OC 0

Let A be a 3x3 matrix with eigen values 2 5 3 Then det A 30 Select one O True O False

Let W be the set of singular matrices of order 2x2 Then W is a subspace R x2 Select one O True O False

Let W be the set of all symmetric 2x2 matrices Then W is a subspace R 2 Select one O True O False

find value of x that makes matrix A singular x4 1 A Select one O a 2 O b 1 C 1 d 2 O

det A B det A det B Select one O True O False

If A is an nxn invertible matrix then Select one O a A 0 det A adj A b A adj A det A c A 1 det A adi A d A 1 det A adj A

80 2 2 A 4 2 B 4 2 HB 36 5 1 Find X such that 2A 3X 5B Select one O a 2 10 3 14 3 4 13 3 7 3 O b 2 10 3 4 31 3 14 3 7 3 2 4 10 3 14 3 31 3 7 3 O d 2 10 3 4 14 3 31 3 7 3

5 1 54 4 5 if A 4 8 O O Select one 8 89 1 8 1 1 1 9 0 75 2 3 7 1 3 5 1 8 8 9 4 5 1 8 1 B 4 8 1 2 2 det A 16938 then det B 2 3 7 1 3 1 9 0 75 2 2 and a 16938 b 16938 c 1 16938 d 1 16938

find value values of m will the system be inconsistent mx 1 m y 1 1 m x my 3 Select one O a m 1 2 b m 2 c m 1 2 d m 1

If A is a square matrix such that A I then A is equal to Select one a O b A c A I d 2A O O

If A is a nonsingular 2 x 2 matrix then nullity of A 2 Select one O True False

3 then the eigenvalues of A are 1 Let A Select one a 3 8 b 3 1 c 8 8 d 3 8 1 O O

5 54 5 54 54 55 55 56 Select one O a 0 b 5 c 25 d 1 O

The inverse for matrix a b Select one O 1 ad bc c d b 1 ad bc c a d b a ad bcdc d b C a 1 d b

find value values of k such that matrix is singular 103 2 1 0 L4 2 k Select one O a k 24 b 24 c k 20 d k 20

let A 5 4 1 2 0 2 3 8 0 03 9 Loo 0 7 Select one O O O a 220 b 210 c 210 d 220 then det A

if C A3x2XB 2x9 dimensions of C Select one O a 3x9 b 2x9 c 3x2 d 9x3 O O O

Let A 4 5 3 1 Select one O O Which of the following statements are true a A is singular b A is nonsingular 1 c A does not exist d 7 42 the inverse

1 If A 0 2 find det A Select one O a 2 b 1 C 1 d 2 O 0 21 2 1 0 3

1 2 3 let A 6 5 4 det A 7 then det A 10 14 17 Select one a 7 b 1 7 c 7 d 1 7 O O O

If determinant of a matrix is equal to zero then it is said to be Select one O O a invertible b nonsingular c singular d square

Find X Y If 13 X2 58 Select one O O a x 2 y 3 b x 3 y 3 c x 3 y 3 d x 1 y 1 56

y 6x 18

0 67 1 pt 398 Detai The graph shows the water level in a reservoir as a function of the number of months since the start of the year 100 90 80 70 60 50 40 30 20 10 1 10 1 2 3 4 5 6 7 8 9 10 The highest water level was reached in month reached in month and the lowest water level was

1 A 10 ft 8 ft 2 Statement Criterion B D 6 ft F E 8 ft J A 1 2 Statement Criterion B 201

la lb 1c f x 2 750x 2 000x 3 000 1 200 x Determine the exact values of the roots of f x using Completing the Square method Possible Points 3 1 or 0 Determine the exact values of the roots of f x using the quadratic formula Specify the type s of roots of the function Possible Points 2 1 or 0 Possible Points 2 or 01

Question 10 0 1 pt 399 Details The population of a city can be modeled by P t 33e0 05t thousand persons where t is the number of years after 2000 Approximately how rapidly will the city s population be changing in 2023 The population will be changing by thousand persons year Enter your answer rounded to at least three decimal places Question Help Video Written Example Subr

Question 7 Suppose f x is continuous everywhere and has the following values 0 30 14 10 10 5 0 1 pt 3299 Details 20 10 I f x Based on this determine what you are willing to guarantee Between 10 and 2 20 you guarai Between 0 and x 10 you guarante Select an answer there is a root nothing Between 2 20 and z 30 you guarantee Select an answer Between z 30 and z 40 you guarantee Select an answer 40 20

The graphs of y f x solid and y g x dashed are shown 8 7 6 5 4 3 2 1 Find the following f 3 g 3 f g 3 fg 3 8 1 7 6 5 4 321 1 45 5 6 649 7 8 2 3 4 5 6 7 8

0 1 pt 399 Details The graph shows the water level in a reservoir as a function of the number of months since the start of the year 100 90 80 70 60 50 40 30 20 10 1 10 1 2 3 4 5 6 7 8 9 10 The highest water level was reached in month the lowest water level was reached in month and

Suppose f is defined at x 2 and lim f a exists but lim f x f 2 x 2 x 2 The graph of y f z might look like select all that apply None of these Deta 20

The following chart shows living wage jobs in a city per 1000 working age adults over a 5 year period Year 1997 1998 1999 2000 2001 635 670 700 720 735 Jobs What is the average rate of change in the number of living wage jobs from 1997 to 1999 Note the units are already included Jobs Year

Rome laws literature women architecture decline China rise to empire tombs philosophy Confucius landmarks Research using book or internet and describe these concepts of these two Empires from their early beginning Write complete paragraphs Include wo Work should include introduction to Rome and China information found closing paragraphs

1 78 2 Statement 45 30 117 G H 25 65 Theorem F 1 2 Statement Theorem

1 2 Statement U 32 52 E S 13 Theorem E Cinturiore 2 Statement R Theorem

Theo and Sasha start at the same place on a straight road riding bikes with the following velocities measured in mi hr Complete parts a through f VT t 5 fort 20 vs t 10t for 0 st 2 and vs t 20 for t 2 Theo Sasha a Graph the velocity functions for both riders Choose the correct graph below OA Av 25 0 0 5 B Av 25 0 OC rides farther Av 25 0 0 b If the riders ride for 2 hr who rides farther Interpret your answer geometrically using the graphs of part a Sasha rides mi and Theo ridesmi Therefore D Av 25 0

70 FT1 1 by B 10 100 S 90 10 G 2 Statement Criterion C 100 70 1 10 3 35 D G M 36 168 1 33 42 L 154 ELK F 196 They are not similar 2 Statement Criterion

1 2 pair of triangles 1 State one of the following A a b C I know they are similar because I know they are not similar because There is not enough information Statement H Theorem 2 If they ARE similar a b B Write the similarity statement A State the similarity theorem that proves they are similar AA SSS SAS 2 Statement 50 72 G 42 4 66 F 77 Theorem

Suppose f g are continuous functions where f 9 19 and lim 6f x 2g x 122 x 9 Then g 9 Question

Consider the graph shown Check all that apply lim f x exists x 2 a f 2 exists None of the above

The region bounded by the graphs of x 0 x Iny and x 7 6 Iny in the first quadrant is revolved about the y axis What is the volume of the resulting soll The volume is Type an exact answer

2x 6 if x 4 Let f x 34 5x if x 4 if x 4 12 eta Determine whether f x is continuous at 4 If f x is not continuous identify why Not continuous f 4 is undefined Not continuous lim f x does not exist x 4 Not continuous lim f x f 4 x 4 The function is continuous at x 4

The graph of y f x has the following features lim f x 3 f x 2 f x f x xxx lim TH lim 24 1 lim 1 12 Which of the following might be a graph of y f z 8 78 8543 2 3 2 1 4 3 2 20 Z d a 9 9 4 3 2 3 16 112 84 4 5 6 3 2 8 7 6 4 2 F 2 12 4 4 9 b 8

Let R be the region bounded by the following curves Let S be the solid generated when R is revolved about the given axis If possible find the volume of S by both the disk washer and shell methods Check that your results agree y O A 1 x 1 B X y 1 revolved about the x axis Set up the integral s that gives the volume of the solid as a single integral if possible using the disk washer method Use increasing limits of integration Select the correct choice below and fill in any answer boxes within your choice dx Type exact answers JOdx dx Type exact answers

Suppose f x has the following values I 1 9 1 99 1 999 2 1 9 5 99 5 999 C 2 001 2 01 2 1 9 005 9 05 9 5 What value of c would make f x continuous at x 2 Enter a value of c If no value exists enter DNE

Use synthetic division to show that x is a solution of the equation and use the result to factor the polynomial completely List all real solutions of the equation Enter your answers as a comma separated list x x 14x6 0 x 2 6 X