Questions

The vectors V1 V2 dependent 4 2 2 are linearly O True O False 2 1 1 and

esus Christ s

dy N y The differential equation that can not be written as O a First order O b Separable O c None O d Exact M x dx is not

Let A 1 0 0 1 0 4 0 0 0 1 O a 2 O b 3 O c 1 O d 0 O e 4 4 000 Then rank A

The value of c that makes the vectors v 1 0 0 v2 1 0 0 v O a None O b 1 O c 3 O d 0 e 2 1 1 0 and v3 1 1 0 and v3 1 1 c linearly depnedent is

If A 1 Oa Ob 1 19 11 1 1 1 pa 0 1 O c 0 7 1 1 Od None Oe 0 1 1 adj A

The following differntial equation yy x y is second order nonlinear ODE O True O False

One of the following ODEs is a separable ODE O a ydx xdy 0 O b x y 1 dx sin x O c None O d x2 3y dx ln x 2y

If Oa None Ob 1 SN Oc 2 Od 2 e 1 2 1 2x 5 then a

1 If u a 2 o i b 0 O a Ob a 1 b 2 a 1 b 2 O c a 1 b 2 O d a 1 b 2 Oe None then

If A a O b 1 to then adj A 1 1 20 2 1 O e O c None O d 0 1 1 07 22 2 2 0 L 2 2

Not yet answered Marked out of 2 00 The general solution of the following second order linear ODE y 3y 2y 0 is O a y x C e c e 2x O b None O c y x c e c e O d y x c e Oe y x c e c e

Let A be an 3 3 invertible matrix such that 2 is an eigenvalue of A with the corresponding eigenvector v Then one of the following is true O a None O b is an eigenvalue of A with eigenvector differ from v O c 2 is an eigenvalue of AT with the same eigenvector v O d 4 is an eigenvalue of A2 with the same eigenvector v O e 2 is an eigenvalue of A with the same eigenvector v

Let A O c O a None O b O d 2 23 7 H and 4 is one of its eigenvalues Then the corresponding eigenvector is

One of the following ODES is a separable ODE O a x y dx 2y r ln y dy 0 O b x 3y cos ry dx 3x 2y dy 0 O c None O d y dr y 2 dy 0 y 0

2 00 The function y x e is the solution of the following IVP y y y 1 1 O True O False

One of the following is a solution of the differntial equation y y 0 a 8 Ob e O c e O d 1 2 e None

The function y x e is the solution of the following IVP y y y 0 1 O True O False

2 2 1 The rank of the following matrix 1 1 10 O a 2 O b 1 O c None O d 3 Oe 0 0 is

The general solution of the following second order linear ODE y 5y 6y 0 is O a y x c e 2r c e r O b y x c e r C x O c y x c e c e O d None O e y x c e 2x c e7 3x

One of the following functions is a solution of the second linear ODE y 4y 0 O a y x sin 2x O b None O c y x sin x d y x sin 3x

Let A 10 1 1 0 The value s of Flag question 2 1 1 a a such that A has no inverse O a 1 O b R 1 O C R 0 O d None e R 2

The function y x x is the solution of the following IVP y 2y y 1 1 O True P Flag questic False

The value of c that makes the vectors v v2 1 0 0 v 1 1 0 and v3 1 1 c linearly depnedent is O a 2 O b 3 O c 1 O d None Flag question Qe 0

One of the following ODES is an exact DE O a x y dx y 2x dy 0 O b x y dx 2xy dy 0 O c None O d y 2 dx 2x 1 dy 0

Of 2 00 The eigenvalues of the matrix A O a 1 3 O b 1 3 O c 1 3 O d None O e 1 3 1 1 4 are

200 The eigenvalues of the matrix 1 2 2 011 O a None O b A 0 2 3 O c A 0 1 3 O d A 0 1 2 O e A 0 2 2

The inverse of O a O b Be 1 1 0 4 O c None O d 1 1 2 3 44 6 1 43 72 TH 5 1 2 LO 1 0

Flag question The following differntial equation yy x y is second order nonlinear ODE O True O False

The rank of the following matrix 2 2 1 1 1 0 1 0 is 0 P Flag questio O a 3 O b None O c 1 O d 2

The integrating factor of the following first order linear ODE y y cosx is O a 11 13 Ob None O c e O d x Oe e

The function y x O True O False e is the solution of the following IVP y y y 0 1

Not yet answered Marked out of 2 00 One of the following is a solution of the differntial equation y xy 0 Qa None O b O C O d 2 e 2 1 LIT e 2 Oe x

Not yet answered Marked out of 2 00 The following differntial equation y x y is a first order linear ODE O True O False

The eigenvalues of the matrix O a A 0 2 3 O b A 0 1 3 Oc A 0 1 2 O d A 0 2 2 O e None 0 2 2 1 1 2 0 1 0

Let A 1 0 0 0 0 1 1 0 40 000 04 00 Then rank A O a 4 O b 2 O c 1 O d 0 O e 3

The matrix 1 2 3 034 004 is lower tiangular A O True O False P Flac

1 point Consider the triangle ABC shown below a a B A Suppose A 50 and c 50 a For what value of a is c the hypotenuse of a right triangle h a inequality b For what values of a are there two solutions for the triangle a a inequality C c For what values of a is there one obtuse solution for the triangle d For what value of a is there no solution

Question Solve the system of equations graphed on the coordinate axes below Answer 47 y 22 6 1 2x 6 yey 2x 2 2

Question Express the following fraction in simplest form only using positive exponents a 20t 6 4t a 2 Answer Attempts out of a 3

Question Solve the following system of equations graphically on the set of axes below y x 5 2x y 7 Plot two lines by clicking the graph Click a line to delete it

Question Solve the following system of equations for all three variables Answer Attempts out of 2 2x y 2z 2 2z 7y 8z 2 2x 4y 3z 8

Question Express the following fraction in simplest form only using positive exponents 2 1 2j

Question Write the following expression without negative exponents and without parentheses 7x

Question Simplify Answer Attempt 1 out of 2

Question Solve the system by substitution Answer Attempt out of x y 13 y 7x 3

Question Solve the following system of equations algebraically Answer Attempts out of 2 Two solutions v 52 17 y z 5

Below are questions that will help you get started with your research project specifically the how to portion Methods of your project Submit this page to the corresponding lab assignment on Canvas Please color your answers as either red purple or blue You will use the responses to these questions to prepare the Methods section of your research paper 1 What is your research question Do ants gravitate more toward high sugar food than they do low sugar food 2 What are your null and alternate hypotheses Null Hypotheses ants will not gravitate more towards high sugar foods than they will towards low sugar foods Alternative Hypotheses ants will gravitate more towards high sugar foods than they will low sugar foods 3 What is your prediction 4 Describe your experimental design a What is the independent variable The independent variable is the food Cucumbers low sugar low protein cinnamon bun high sugar low protein hard boiled egg low sugar high protein peanut butter high sugar high protein b What is the dependent variable How specifically will you measure the dependent variable What is the experimental treatment s C d What is the control treatment e What are the constant variables f How are replication and randomization included Replication will be ensured by conducting the experiment over three consecutive days Randomization can be achieved by randomly assigning the order in which the food types are presented each day g What statistical test will you use and why 5 The statistical test I will use is the T test because the variables I m dealing with in this experiment are categorical a What results would support your alternative hypothesis b What materials will you need Cucumbers a cinnamon bun hard boiled egg peanut butter a timer white index cards c Briefly describe your methods in narrative form The experiment involves placing various food types cucumbers cinnamon bun hard boiled egg peanut butter on white index cards near an ant nest The ants food preference will be observed for 10 minutes and the frequency of choices between high sugar and low sugar foods will be recorded over three consecutive

What does this symbol mean A Layers dipping 30 northeast B Layers dipping 30 southeast C Layers dipping 30 southwest D Layers dipping 30 northwest E Layers dipping 45 north 30 N

Let 2 31 Then 2 is given by 06 O 11 0 6 09 None of the given options