Questions

Let A 2 0 1 1 1 0 The value s of a such that A has no inverse 1 a 1 1 a None O b R 1 OC R 2 O d 0 e R 1 Of R 0

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

Let A be an 3 x 3 invertible matrix such that 2 is an eigenvalue of A with the corresponding eigenvector v Then one of the following is true 1 O a is an eigenvalue of A with eigenvector differ from v O b 2 is an eigenvalue of A 1 with the same eigenvector v Oc None O d 2 is an eigenvalue of AT with the same eigenvector v Oe 4 is an eigenvalue of A2 with the same eigenvector v

The integrating factor of the following first order linear ODE xy 2y cosx is O a e x O b ex O c x O d None O e x2

Answer saved Marked out of 2 00 If A O a O b C adj A 3 1 1 0 13 0 1 2 3 1 1 O d None O e 0 23 1 Clear my choice

If the vector v O a A 4 O b A 1 O c None Od A 1 O e A 5 is an eigenvector of the matrix A then the eigenvalue A that corresponds to vis

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

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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