How many ring homomorphisms Z/35→Z/7  are there?

Q: I Find the differential equation of the family of plane curves described, Draw at least three member...

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Q: Let E be the region bounded by the xy-plane, xz-plane, yz-plane and 4x + 2y + z = 4. Compute the tri...

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Q: 4. Obtain the Fourier series expansion of the periodic function defined by f(t) = t³ + 3t for (0 <t ...

A: If f (x) is defined in the interval (a, b), then the Fourier series expansion is f(x)=12a0+∑n=1∞anco...

Q: C1e-2e + Cze3 |

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Q: Evaluate the second derivative of Z F5.png sin (b Vr2) f(x) = acosh cx3 if a = 5.54, b = 3, and c = ...

A: Introduction: There are three approximation formula for determining the derivatives of a function at...

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Q: 9x2- e 2x Given by a function of x is equal to v1 – cos²x + 0. find the roots of equation with stopp...

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Q: Consider the function f (z) : z-sin z 23 The Laurent series of f (z) around 0 is : z2 a) 3! 5! 7! .2...

A: Given that fz=z-sinzz3

Q: Find the three Sylow 2-subgroups of D12 using its subgroup lattice below.

A: Given: Using D12's subgroup lattice below, determine the three Sylow 2-subgroups. 

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e /...

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ an...

Q: Approximate the following functions using Taylor series. Solve the absolute and relative error in ea...

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Q: Find a basis of the given subspace by deleting linearly dependent vectors. 5

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Q: For items 1-10, consider the following: The members of Math Club are to choos among four candidates,...

A: # we are entitled to solve three subparts at a time please resubmit the other parts if you wish to g...

Q: 4. A bipartite graph G with a bipartition (X, Y) is defined as follows: X = {a, b, c, d} Y = (u, v, ...

A: This is a problem of Graph Theory.

Q: Find the closed to 0 negative integer which solves the following system of congruences: X≡2(mod5)X≡...

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Q: Imagine you have matrices A, B, and C, which of the following is false? The transpose of a sum of ma...

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Q: SOLVE THE 0.E 2Ydx 3xy²dx +xdy when x=2 y=-2

A: We can solve this using substitution method

Q: (-9 -5 12 (11 -3 1 Given matrix A = 6 -4 -5 B = 7 3 -7 -2 2 -9. For the following, use fractions (do...

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Q: (x – a)² +y² = a²

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Q: 9. How should the constraint, 3X + 2Y 2 9 as equation #1, be converted into ?simplex (2 marks) table...

A: Given: The constraint 3X+2Y≥9   To determine: The equation that the given constraint should be conve...

Q: 1. Calculate for one real root of tan r 4x with ro 1.2 up to four decimal places using the Newton-Ra...

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Q: y = Ce- 2 + C2e3

A: Given equation is y=C1e−2x+C2e3x......1. We have to eliminate the arbitrary constants. Differentiate...

Q: Consider the set X E R? defined by the system of inequalities X = {R² : -x1+ x2 0, x2 > 0}. (a) In ...

A: (a) We have the set, X={ℝ2 : -x1+x2≤2, x1+x2≤5, 2x1+x2≤4, x1≥0, x2≥0}The set is represented in the c...

Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim f(3x2+6...

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Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: (2a) Let S = {S;}iej where I = {1,2, 3, ...} and S; = {i, i+ 1, i + 2| i e 1}. Prove or disprove the...

A: Partition of a set A is a collection of  distinct subset say S={A1, A2, A3,...} , that satisfies the...

Q: 4. (a) Let I = [a, b] and let f and g be bounded functions on I to R. Suppose that f(x) < g(x) for a...

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Q: Sove using variaton of parameters or reduction of order (D²+1)y = tan?x

A: please see the image attached below

Q: Evaluate . y? cos(x) dx + 2ysin(x)dy where C is the straight line between (0,0) and

A: The equations of the straight line joining (0,0)to π2,1 are x-0π/2-0=y-01-0=t(say) i.e. xπ/2=y1=t i....

Q: 8 -4 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain w...

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Q: 2 -3 A. The dimension of span is } 9. -28 B. The dimension of span is -13 39 -2 C. The dimension of ...

A: Dimension of span of a set is equal to number of linearly independent vectors in the set.

Q: E. Solve tne differential Equotions ☺ Czxy + xln3x)dy + .(xtyJ dx =0 when x =3, y=2

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Q: W-Mart, a discount store chain, is to build a new store in Alabama. The parcel of land the company h...

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Q: 1. Which of the following is logically equivalent to (-p V q)^(-p Vq) A(-p Vr) а.)p b.)q с.) —р d.)¬...

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Q: Given that z = x² + xy, and that variables x and y depends on s and t as follows: x = s +t and y = s...

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Q: Sketch the graph of the curve with the polar equation: r=2– sin(20).

A: To draw a polar graph we need to check its symmetricity by using following   #  In the first test, w...

Q: Find the unknowns a, b, c and d in the following equations: + 2 ( ) = 4

A: The given equation is  2648=41243+2abcd Combine both side matrices in a single matrice then compare ...

Q: Example 2 Find the inverse transform of each of the following. 6s – 5 (a) F (s) s2 +7

A: The Laplace transform of a function is defined as F(s)=∫0∞e-stf(t)dt. If F(s) is the Laplace transfo...

Q: In(x*) = 0.70 . Find one real root of five iterations of the Bisection Method on using the interval ...

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Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

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Q: The approximate value of the derivative of a function f(x) using centered difference approximation i...

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Q: Determine the area of the region bounded by y = 2x² + 10and y = 4x + 16. %3D

A: According to the definition if dfdx=F(x), then ∫F(x)dx=f(x). Geometrically the definite integral ∫ab...

Q: x-z+4 8x-y+3z² 3. Given vectors field G = 3* 4+z2 :ax + y3+z - ay and a position vector, r, = 2ax – ...

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Q: 1. Carpet Fitting. You are a professional interior designer who is hired to work on the interior of ...

A: Given dimension of bedroom 15×20  feet. Also, we have to leave an even strip of flooring uncovered a...

Q: Find the area of the region bounded by Z F6.png f(x) 3 alog,(сх — d) - the x -axis and the line x = ...

A: Trapezoidal rule for integral  ∫abf(x)dx≈ Δx2  (  f(x0)+2f(x1)+2f(x2)+2f(x3)+⋯+2f(xn-1)+f(xn) )

Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2). ...

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to 4,3...

Q: Question No. I Non-symmetric matrices with repeated eigen values Find the eigen values and eigen vec...

A: Given matrix is 110010001. We have to find the eigenvalues and eigenvectors the given matrix. Let A=...

Q: (3b) Consider the open sentences P(x): x² = 4 and Q(x): x 2 0 over the domain S Determine all x E S ...

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Q: y dV W

A: Let us consider the triple integral ∫ab∫h(x)g(x)∫p(x,y)q(x,y)f(x,y,z)dzdydx To solve the integral  ...