= xyi + yzĵ + de is a in x-y plane.

Q: Question 7 The following function is homogenous of degree what? f (x, y, z) = x²zy + z² Vx²y² other/...

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A: P is Projection of vector A on to B

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Q: dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt

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Q: Let n > 2 and let æ1, x2, ... , Xn+1 € R with x; x1 for all 2 j Hint: You may use the elementary fac...

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Q: BE BT If TN BU 4. then TU || NE. UE N° E

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Q: O Find the LOu decompo sition for A. 1 2 JAs You krow A is not unique. A- [ Also 4 10 as that Quadra...

A: a)  A = 13310 LDU decomposition for this matrix is L = 1031,   D=1001,   U = 1301This can be obtaine...

Q: 10- A cosine function has a maximum value of 1, a minimum value of -5, a phase shift of t/4 to the r...

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Q: 2. The table below shows the costs of photocopying spent by 125 students per week. cost 20-39 40-59 ...

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Q: A. Find the determinant of the following matrices 1 2 1 1 2 1 0 2 а. 2 1 2 0 b. -2 1 1 3 3

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Q: 1. Let X = {z €R:r#0,1} and define f : X X by f(r) = 1-. Prove or disprove that f is a permutation o...

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Q: ich of the following subsets of IR3X3 are subspaces of R3x32 A. The 3 x 3 matrices of rank 2 B. The ...

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Q: 5. Prove the following: (a) P(T) is the identity matrix if and only if a = idſn] - (b) P(T2 0 T1) = ...

A: Permutations: A permutation π of m elements is the function  π:1,2,...,m→1,2,...,m given by the 2×m ...

Q: t2 (sinh 2.75t – 5)

A: Laplace transform of a function of the form tn f(x) is given by the equation; L{tnf(t)}=(-1)ndndtnL{...

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Q: Theorem (The Triangle Inequality) If A and B are vectors in R", then || A+ B|| < || A|| + || B||.

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Q: 3. Find the solution of the following differential equation by Laplace transform with initial condit...

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Q: 2. 3.

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Q: 5 -3. u2 -7. and uz 20 elect all of the vectors that are in the span of {u1,u2, U3}. (Check every st...

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Q: Evaluate the inverse Laplace transforms of the following: [2 s+9' s-5 1 4 1. 1 7 2. G 20 [s+35s-3 6s...

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Q: 1- For each of the following. a) Rewrite the expression in terms of the related co-terminal angle. b...

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Q: 3. Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, 9) €Fx...

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Q: Let A be the set of all strings of 0's, l's, and 2's of length 4. Define a relation R on A as follow...

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Q: Find the perimeter of the loop of the curve 9y² = x² (2x + 3). O 3/2 units O None of the choices. Pl...

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Q: Find x if the vectors a = i+j+2k ; b = xi -j+k;c = 3i - 2j - k are coplanar or linearly dependent. %...

A: Introduction: The scalar triple product is another type of product that deals with both scalar and c...

Q: Let p: Man is rational. q: A century is 100 years. r: Today is Monday. General Instructions: 1.) Wri...

A: Given instruction p: Man is rationalq: A century is 100 yearsr: Today is Monday We have to write in ...

Q: enclosed by area find Ix, Ig and Io for the Y= 1+ CoSO

A: Use the following formulae, to determine the moment of inertia about the x-axis, the y-axis and the ...

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Q: 5. Let A = {n E Z; n is odd} and B = {n € Z; 3n² +7 is even}. Prove that A = B.

A: 5. 

Q: Given : dy' j + 2k y'î + 4xĵ + 3* Varifng %3D 2.

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Q: Which properties hold on the rational numbers that did not hold on the set of whole numbers? O commu...

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Q: 5. Let A = {n E Z; n is odd} and B = {n E Z; 3n² +7 is even}. Prove that A = B.

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Q: 7. Remwrite the..either.five.exated.nt.agrmls. 1-X FCX ng , Z)dydzdx ZA z= 1-x2 ...... y=1-メ

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Q: -2 -1 -4 0 A = 1 4 01. -2 -1 -4 0 Find dimensions of the kernel and image of T(7) = Az. dim(Ker(A)) ...

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Q: Choose the correct answer below. O A. f' is the average rate of change of f. B. f'is the tangent lin...

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

A: Solution   

Q: Let ao, a1, a2, ... be the sequence defined by the following recurrence relation: ao = 0 a, = aj-1 +...

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Q: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

A: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

Q: Maximize. z = 2x1 + 3x2 – 4x3 subject to 3x, - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Q3/ Check the convergence of the following series 2 3(n + 1)(n + 2) n=0 Ans./ Use method of differen...

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Q: Frid the Feurier tranghrm XC10) for the Pulse y the Sapual deitribed bekw: 2, -3mms <t<o X(+) 12, Om...

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Q: Find the radius of convergence and interval of convergence of power series зп-1 (х — 3)т. |

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Q: 1. Find the output needed to maximise profit given that the total cost and demand functions are as f...

A: Find the profit function and then we have to maximize the function using derivatives. 

Q: 3. Find the solution of the following differential equation by Laplace transform with initial condit...

A: Here given as ∫0tytdt=dytdt ......1,  Since F0=1 is the initial condition then it should be y0=1.  

Q: Show that the Vingof CamPlex humbers Cf+so) Can be imbealaling inaring of 2x2 matvices (Mzns

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Q: Convert 458 to binary notation. Convert 11001012 to decimal notation.

A: first -  decimal to binary conversion  second- binary to decimal conversion