What is the inverse of the following reaction? {(3,5),(5,3),(4,5)(3,5)} State whether or not the relation and the inverse are functions.

Q: 13. Let : M₂ (R) → R defined by ( oll c C d)) = c = a + d. Recall that the operation on M₂ (R) is…

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Q: Question 3 ( Consider the differential equation x²y" - 3xy' + 3y = 2x³ – 3x². x³ are = (a) Verify…

A: x2y''-3xy'+3y=2x3-3x2

Q: b a d e g

A: To find the circuits with in the graph

Q: 83. PR bisects ZQPS & PRIOS P APQR = A by R S ΠΟ

A: Given , PR bisects <QPS and PR is perpendicular to QS , we need to find whether ∆PQR to congruent…

Q: 2. Find the mass of the lamina that is the portion of the cone z = √ x² +y² between z = 1 and 2 = 4…

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Q: If the sequence a1, A2, A3, an is an A.P., then prove that ... ... 2 a²-a² + a²-a²+...+ a²n-1-a²n =…

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Q: 3. Prove the following proposition: There is no binary quadratic form g(x, y) c = 5 (mod 7) that is…

A: To prove this proposition, we must show that if a binary quadratic form g(x,y) has the given…

Q: Consider t as time, and x and y as sptial independent varaiables. State teh following classical PDES…

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Q: What is the time domain representation of F (s) = (s + 10) (s²-5-2)-¹?

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Q: Question 4 Evaluate. The differential is exact. (2,2,2) (1, 1, 1) 5 8 1 000 228 ¥3,3 - 3z8 dy+ x²4…

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Q: Question 6 Using Green's Theorem, compute the counterclockwise circulation of F around the closed…

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Q: If Zhang has 3 times as many nickels as dimes and they have a combined value of 200 cents, how many…

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Q: Integrating Factors found by inspection y(x²y²m)dx + x (x²y²+n)dy=0 when x = e, y = 1 y(x² + y²-1)dx…

A: Multiplying by a function to each Equation, which is called integrating factor.

Q: Question 15 Find the work done by F over the curve in the direction of increasing t. F = Zi + -j +…

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Q: Solve the initial value problem of (y" + 4y = 6₂ (t)et ly(0) = 0, y'(0) = 0

A: Solve the differential equations using Laplace transformation

Q: If a₁, 92, a, are in arithmetic progression, where a > 0 for all i, then show that 1 √a₁ + √a₂ 11 +…

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Q: Given the IVP: y"-8 y' + 16 y=-12, y(0)=0, y'(0)=3 A) Use the Laplace transform to find y(s). B)…

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Q: Prove: RS | UT ||

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Q: Let F= = Use Stokes' Theorem to evaluate ²11₂₁² S consists of the top and the four sides (but not…

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Q: Problem III Let A denote the matrix given below. (i) Find all eigenvalues of the matrix A. (ii) For…

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Q: Problem 4. Given a scalar a, the exponential e" can be expanded by Taylor series as: 1 1 1 2 3 4 e =…

A: The given problem is to find the matrix eA for the given matrix A by checking the diagonalization of…

Q: Problem I Determine for which values of the real parameter a the following matrix is not invertible.…

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Q: Question 8 Determine whether the matrix is in echelon form, reduced echelon form, or neither. 12 5…

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Q: A pool of 9 semifinalists for a job consists of 7 men and 2 women. Because all are considered…

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Q: [ 2xy²zda + 2a²yzdy + (x²y² − 2z)dz where C' is the curve given sint, 0≤ t ≤ 27 traversed in the…

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Q: X' = AX has a saddle. ALWAYS where D = det A and I ALWAYS SOMETIMES ace(A), and A is a 2 x 2 matrix,…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problem.…

Q: 5. Find the transfer function and poles of the system represented in state space form: [010] [03] A…

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Q: By reading values from the given graph of f, use four rectangles to find a lower estimate and an…

A: From the given graph we have to find the value of lower estimate and upper estimate for 4 rectangle…

Q: Find the surface area generated by rotating the given curve about the y-axis. x = ett, y = 4et/2, y…

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Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x b) (x…

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Q: The bearing from A to C is S 54° E. The bearing from A to B is N 82° E. The bearing from B to C is S…

A: We will  draw the diagram and use property ( law  ) of triangle to find required distance

Q: 3. Find an orthonormal basis of the range of the following matrix: Show your work in details. 1 -1 2…

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Q: Let S be the portion of the cylinder x2 - 6x +z = 0, oriented by upward-slanting normal vectors,…

A: The given vector field is F = xy, 3xz2,yz.Our aim is to find the flux or surface integral of the…

Q: 5. A college dean has received the following results from a department chair about MTH 123, which is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

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Q: One expression for the bearing uses a single angle measure. The bearing using this method is (Type…

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Q: 6. Solve by the problem by the Laplace transform method. + 4x(t) = 4 cos2t; x(0) = 2, x'(0) = 5…

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Q: Find the area of the shaded portion of the circle below. Express answer as a whole number or…

A: Given  Radius of circle = 7/11  The circle is divided into 16 parts and 7 of which are shaded , we…

Q: Find the work done by F over the curve in the direction of increasing t. F = -9yi + 9xj + 6zºk; C:…

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Q: the sequence a1, A2, A3,... Ans. is an A.P., then prove th 2 n ²-a² + a²-a²+ + a²n-1-a²n -(a₁ - a₂n)…

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Q: Use the method of undetermiend coefficients to find the general solution of (a) y(³) −3y"+3y′ −y =…

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Q: If s, is the arc length of locus of centre of curvature, then show that √√k²q² +k¹². k² ds, ds (e)…

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Q: To find a particular solution for y" - 6y' + 9y = x² + 10 with the method of variation of…

A: The given differential equation is a second order non-homogeneous differential equation with the…

Q: 10. Let G be a finite group and a € G. Use Lagrange's Theorem to prove that the order of a divides…

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Q: Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0.…

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Q: The prescribed dosage of a drug is 9 mg/kg ​daily, meaning that 9 milligrams of the drug should be…

A: Given  Weight of patient = 164 lbs  Dosage = 9 mg/kg  Also , each tablet = 200 mg   We need to find…

Q: From the 7 choices, select all that apply span{ |} + { 1 C -4 } span{ span{ span{ 1 O {0} 1 -1}+{0}…

A: Subspace must contains zero vector with respect to addition. Affine subspace is not consider here.…

Q: Solve the given initial-value problem. X(t) = -1-2 × = (-¹-²)× + (2), ×(0) - (-²) X' X 3 4

A: X'=-1-234X+44, X0=-24

Q: 64 If y = cos ax, prove that У У1 У г Уз У4 У5 |=0, where y Уб У7 Ув d' dx' у.

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Q: A boat is sailing in a straight line at a constant speed of 20 meters per second. The captain of the…

A: Given: The boat sailing speed in straight line is 20 meters/second, the speed of current in water is…