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Q: The roots of the characteristic equation of y" – 7y = 0 are: Select one: а. 7,-7 O b. 17, -17 O c. 0...

A: Using factorization.

Q: Find the solution of: y" +y=2e' ,y(0) = 0, y'(o) = 0 Select one: a. y 2sint-cost +e' O b. y sint-2co...

A: Find the solution of: y" + y = 2et ;. y(0) = 0. , y'(0) = 0. Here i attached solution of ...

Q: If x²y" + xy' + (x² – ÷)y=o x >0 ,V,=x 2 sinx , and y =y;v. Which of the following equations satisfi...

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Q: [X2-X1] Let L:R → R be a linear operator such that L x2 )=| X3-X2 then Ker(L) spanned by: X3 [X3-X1]...

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Q: Find the condition that the line ax+by=1vmay be a normal to the curve an-1 y=xn

A: follow next step

Q: p(2) = 23 – 52² + 62. Then tr(A) =

A: Click to see the answer

Q: 4x+2x-5 ress in partial fractions

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Q: If A is a 3 × 3 matrix which has eigenvalues 2 = 10, 1 = -2, and 2 = -3. Then A is diagonalizable Tr...

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Q: Evaluate [e* dx as limit of sums. a

A: Lower limit is 'a' Upper limit is 'b'. f(x) = e^x.

Q: : If z is a complex number satisfying the equation (=-1)" = =", where ne N. Show that the locus of z...

A: This question is related to complex numbers, we will use properties of complex numbers to solve it.

Q: The DE : y' = e>x-7V is seperable Select one: O True O False

A: Try to separate the variables if it is possible than given DE is separable.

Q: If y = e²t is a solution to y" -5y'+ay=0 then a = Select one: a. -6 b. -2 C. 2 d. 6

A: Simple first diffrenciate the given solution one time.. Then 2 time the simply put this value to th...

Q: If T:R3 → R3 is the linear transformation defined by T y if S=v€R3: T(v) =| 1 then S is a subspace o...

A: Solution of question as follows

Q: [X2 - X1] X3 - X2 , then Ker(L) spanned by: X3 - X1 Let L:R3 + R³ be a linear operator such that L x...

A: Click to see the answer

Q: 11. If * -2 1 A -3 2 5 -1 3 Then adj(A) = %3D 11 -3 5 9. -6 10 3 -2 –1 –11 3 6 -10 -5 -9 -3 2 1 -11 ...

A: The matrix is given by A = -210-3250-13 To evaluate: The value of adjA

Q: ....** ........* The equation y2 = cx constitutes an implicit general solution to the DE: %3D Select...

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Q: dim(M23) = O 3 O2 O 5 O None

A: We need to tell the dimension of vector space M23 This can be done as follows:

Q: 2x +y y' = 3+3 y? – x not exact. Select one: O True O False

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Q: 2x +y y' 3+3 y? - x not exact, | Select one: O True False

A: Please refer to the image below

Q: The solution of y' = e'*V is eV = - e'+ c Select one: True O False

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Q: Classify the following DE: e+3y=x²y dy + 3y=x?y dx Select one: a. Seperable and not linear b. Both s...

A: We have to check

Q: If A is a 3 × 3 matrix which has eigenvalues 2 = -11, 2 = 2, and 2 = 5. Then A is diagonalizable Tru...

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Q: Consider the following motrix: A = 10 If 2 is an eigenvalue of A, What is the value of q?

A: Let the other two eigenvalues are x and y, then The characteristic equation is: det(A-λI)=0(4-λ)(3-λ...

Q: ریاضيات هندسية )1( نظري 3 1 Compute the adjoint matrix of A: 3 2 2 1 2 3 Select one: 4 a. -7 0. 4 -5...

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Q: The order of the following differential equation dy dx (x2 +y)xy Select one: а. 1 b. 2 C. 0 d. 4

A: Given ODE is: dydx=x4-y4(x2+y2)xy We know that order of ODE is the order of highest order derivative...

Q: If A is a 3 x 3 matrix which has eigenvalues a = 1, 2 = 7, and a = -8. Then A is diagonalizable %3D ...

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Q: : If z is a complex number satisfying the equation (=-1) = =", where ne N. Show that the locus of z ...

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Q: Consider the bases Bị = {(1,2), (1, 1)} and Bz = {(2,4), (2, 3)} for R². Find the transition matrix ...

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Q: if A= 3+3i and A = 3- 31 are two eigenvalues of 2*2 matrix A then the determinant of A equal %3D Sel...

A: C option is correct and Explanation of the answer is as follows

Q: : If z is a complex number satisfying the equation (=-1)" = =", where n e N. %3D Show that the locus...

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Q: If y = e cost is a solution to y"-6y'+ay 0 then a = %3D Select one: a. 2 b. 10 C. -2 d. -10

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Q: 14. * Consider the bases Bị = {(1,2), (1, –1)} and B2 = {(2, 1), (2, –2)} for R². Find the transitio...

A: The given bases are: B1= (1 2), (1, -1) B2= (2, 1), (2, -2)

Q: The eigenvalues of a 4 x 4 matrix A are given by 2,-1,5,-4, then det(A)= Select one: a. 2 b. -2 C. 4...

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Q: Let T:P-R be the linear transformation defined by Tai) = pili. Then KeriT)= fatx - 3)1 a€ R) O (atx ...

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Q: dy 4xy+5y2 The DE: dx can be transformed into a seperable DE xy +3x? in x and z by using the substit...

A: Click to see the answer

Q: If y e is a solution to y"-Sy+ay 0 then a Select one: a.-6 O b.-2 Oc2 d. 6

A: In this question we have to find the value of a

Q: Mentally convert the base ten numerical to a numerical in the given base. 84 to base six 84 = six

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Q: Find the condition that the line ax+by =1 may be normal to the curve an-1y =xn

A: Given thatan-1y =xn Solution is as follows

Q: Let T : P1 → R be the linear transformation defined by T(p(x)) = p(10). Then Ker(T) = O {ax – 10| a ...

A: Click to see the answer

Q: Plot 2.379 on a number line when the long tickmarks are tenths

A: Here we will plot 2.379 on number line,

Q: Consider the bases B1 {(1,2). (1, –1)} and B2 = {(3,3), (–1, 1)} for R2. %3D Find the transition mat...

A: We have to find the transition matrix.

Q: et y" +5y' +y=x3 e* the particular solution of the equation can be obtained: elect one: a. By both m...

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Q: Let R' have the Euclidean inner product and let u = (1, –2, –1) and v = (3, 1,0). Then proj,u O (?4....

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Q: A particular solution for y +2y +y 1-cosx Select one: a. A+Bx cosx +Cx sinx b. A + B x2 + C cosx + D...

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Q: 8. Consider the basis * B = {1 + x + x², x + x², x?}. for P2. Let p(x) = 2 + x+ 2r². Then [p(x)]8 = ...

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Q: Let A be 2 xX 2 matrix. if trace A =8 and det(A)= 12 then the eigenvalues of A are: Select one: a. 3...

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Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2xr – x² and p2 (x) = -2 – 3x + 2x² - ...

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Q: dim(M23) 6. 3 O 2 O 5 None ||

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Q: 2. If the characteristic polynomial of a matrix A is * p(2) = 23 - 22 - 62. Then tr(A) = 5 -6 None

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Q: 4. If the characteristic polynomial of a matrix A is * p(2) = 23 + 22 - 62. Then tr(A) = 1 None O-1 ...

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Transcribed Image Text

A neighborhood group gpes to the movies every Saturday night. Last week, they purchased 29 adult tickets and 17 youth tickets for $254. This week they purchased 21 adult tickets and 22 youth tickets for $213. Find the cost of one adult ticket.