If the first three terms of the of the sequenes 1/6, a, b, 1/6 are in egeometre Segres hamonie and last three tems one in Series then find the rating of aam b.

Q: Find the 100th derivative of the equation y = 99x⁹9⁹.

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Q: find the mass and the indicated coordinate of the center of mass of the solid region Q of density ρ…

A: Given: ρx, y, z=k x+y+z=10, x=0, y=0, z=0. To find: (a) Mass of the solid. (b) Centre of mass x of…

Q: 4. (a) Use the Method of Variation of Parameters to find the general solution y(t) of the…

A: Using the method of variation of parameters

Q: 2. Find the basic feasible solution of the following problem using North West Corner Rule, and 3.…

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Q: Evaluate fff xy sin(yz) dV if S is the rectangular parallelepiped bounded by the planes TU x = π, y…

A: Integration is defined as finding the integral of a given function. Integration is represented by…

Q: Let C be the circle |z −1| < 2 taken in the positive sense.

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Q: a csc 0 /2 co π/4 Jπ/40 p³ sin²0 sin o dp de do

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Q: The consumption of tungsten​ (in metric​ tons) in a country is given approximately by ​p(t)= 138t2 +…

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Q: 2. (a) Use the method of Laplace transforms to find the solution y(t) of the initial value problem…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: Verify the Kummer transformation: U(a,c;x) = x¹-U(a-c+1,2-c;x)

A: As per the question we are given the following Kummer transformation of the Tricomi confluent…

Q: II. PROBLEM SOLVING SET-UP the definite integral that will solve the area or volume described in…

A: (2) The given curves arex2+y2=4, and x29+y24=1. To SETUP: Integrals for the volume of the solid…

Q: Let S be the cylinder x² + y² = a², 0≤zsh, together with its top, x² + y² sa², z=h. Let F= -9yi +…

A: Given S be the cylinder x2+y2=a2, 0≤z≤h, together with its top x2+y2≤a2, z=h. And  F→=-9yi+9xj+9x2k.

Q: X dy dx - Y 2 x arcsin (r)y5

A: CONVERT THE GIVEN EQUATION IN LINEAR EQUATION OF FIRST ORDER BY SUBSTITUTING v=1y4 AND THEN SOLVE…

Q: 7. Consider the following initial value problem y" - 2y - 3y = -4e¯t, y(0)=0 and y'(0) = 1. Solve…

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Q: Given the angle 31 12 0 state all co-terminal angles to theta, in the interval -2t < 0 < 3t 0: ㅠ =…

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Q: If a and b are nonzero real numbers and t be a real variable, compute for the integrals J I₁ = eat…

A: Computation of integrals and comparison of real and imaginary part

Q: The goal of this exercise is to practice finding the inverse modulo m of some (relatively prime)…

A: We will give the solution of the wrong portion of the given question.

Q: The point Py) lies on the unit circle. Determine the value(s) of y. b) d) H 14 + + 23 18 81 80 81

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Q: Assume that, for each n, fn is an integrable function on [a, b]. If (fn) → f uniformly on [a, b],…

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Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi…

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Q: Let f : [a, b] → R be increasing on the set [a, b] (i.e., f(x) ≤ f(y) whenever x &lt; y). Show that…

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Q: What is the inverse of the matrix:  [2 1] [3 4]

A: INVERSE OF A MATRIX EXISTS IFF ITS DETERMINANT IS NON ZERO OR MATRIX IS INVERTIABLE. AND THEN

Q: Find the future value of an ordinary annuity if payments are made in the amount R and interest is…

A: Givan that, R = 100 6.2% interest compounded semi annually for 12 years.  The future value of the…

Q: Given: 1 2 Ï(x) with Ï(1) = (1, 2,−1) and Ï'(x) = { }, - (= -2) X a. If Ả(x) = (−2, −3x,x²) × Ì'(x),…

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Q: 11. If F(x)= COS C 1+ 4t2 dt, find F"(x)

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Q: 1) Let R be a commutative division ring. Then R[x] is a field. 2) Let R be a unique factorization…

A: We apply mod p test for 5th statement .

Q: 2. Identify if the following series is convergent or divergent. If convergent, find its sum.…

A: We are given the series ∑n=1∞nnn!3n+1n+12. Our aim is to check whether the given series converges or…

Q: Mass of a conical sheet A thin conical sheet is described by the surfacez = (x2 + y2)1/2, for 0 ≤ z…

A: Given: z=x2+y212, 0≤z≤4 fx, y, z=8-z To find the mass of the cone.

Q: ditive subgroups. Draw the lattice diagram of subgroups and COMPLETELY list down the maximal ideals…

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Q: -8 -5 -1 6 -4 --- U₁ = -5 -6 -7 -10 1 -18 Compute the distance d from y to the subspace of R4…

A: Given: y=-8-1-5-10, u1=-56-61, u2=0-4-7-18To find: The distance, d from y to the subspace of ℝ4.

Q: nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C…

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Q: A periodic function is defined by f(x + p) = f(x), where p is the period of f(x). Assume a periodic…

A: note : Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: i. Find the greatest common divisor of 954 and 228 using the Euclidean Algo- rithm. Hence find…

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Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

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Q: Use the Laplace transform to solve the given initial-value problem. v = s(t − ½ n) + s(t – 2/2),…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: Apply householder reflectors to find QR-factorization tt of A = [ 23 -1 ] such that A= QR when Qis…

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Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

A: (b) 58x = 130 (mod 182) Let us consider:  58x = 182t + 130 Substitute the value of t = 0, 1, 2, 3, .…

Q: Let E-fr.8.2): os es , 05 25 1,7√25 rs 7). Compute 6.8365-1051090 mit Answer x III. r

A: ∬∫Ey2 e(x2+y2)3= ∫0π∫01∫7z7(r sin θ)2. e(r2)3. r dr dz dθ= ∫0π∫01∫7z7(r3 sin2 θ). e(r6) dr dz dθNow,…

Q: Question 5. The function f(t) is defined by -t-4 0<t≤1 1<t≤2 f(t)= with f(t+2)=f(t). Evaluate…

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Q: If the Fourier transform of f(t) = { √3 2<t<4 0 elsewhere is F(w), express the Fourier transform of…

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Q: Consider F and C below. (a) Find a function f such that F = Vf. (b) F(x, y) = (2x, 6y), C is the arc…

A: We are given the vector function F = (2x, 6y). Our aim is to find the function f such that F=∇f.…

Q: Given the function f(x) = 2x³ - 3x² - 72x + 2, determine the intervals where the function is…

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Q: Use the Laplace transform to solve the given initial-value problem. 0, 0 ≤ t < T 1, π ≤ t < 2π t≥ 2π…

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Q: Solve for x using the square root property. 9(x+3)^(2)-5=31 x

A: We solve given quadratic equation by using square root property.

Q: 6. Write the following expression in product (II) notation. 32.43.54.4342 7. Compute the value of…

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Q: Show 1) The volume of a regularly bounded body is given by 1 V V = = Note that = x₁е₁ + x₂е2 + x3 €3…

A: To prove : The given two bits of the problem are true.

Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

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Q: cha a_i, =aFor a in S, we denote its it h com ponent by ival ently, we have = (al; : : : ; an)…

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Q: 5) Find a basis for (i) the row space, (ii) the column space and (iii) the null space of the…

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Q: phism, where R is a commutative ring with unity. Le he arbitrary elements of R. Then there exists a…

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