Solve y" + 4y —и(( — 1) + 6(t — 2), у(0) — 1, у (0) — — 1. |

Q: 5. Given the system 10 2 (a) Find the general solution. (b) Find the solution that satisfies the…

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Q: 2. Given f(r, y) = 2r-3y2 +6xy - 12r. (i) Find critical points of f. (ii) Use the second derivative…

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Q: b) Given a linear system as below х — 2у + 3z %3 9, —х + Зу %3D — 4, 2х — 5у + 5z %3D 17 Find the…

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Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X.

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Q: 5 9. and define p : R² → R² by p(x) = Ax (that is, p = PA). Find Let A -1 -1 all 9-invariant…

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Q: 6. Given that z = u' + 2v – x + 3y; u = r´ - s', v = r´ + s´, x = 2rs, y = 4. Find 2 =r dz(r, s, h,…

A: Given, z=u2+2v2-x2+3y2u=r2-s2 v=r2+s2x=2rsy=2rsTo find: dz(r,s,h,k)

Q: Use the Venn diagram to determine n(U) - n(B). A В three four seven 16 06 n(U) - n(B) =

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Q: Using Bernoulli's equation

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Q: What value of t ensures the following system of equations has no solution? 3x + (12 – 4)y = 1 ty = 2…

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Q: Use the Binomial Series Theorem to find the power series and radius of convergence for (2+ 3x)/.

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Q: a. Intermediate-Value Theorem from Intermediate-Zero Theorem? b. Right-Hand Continuity from…

A: We have to write the difference between: (i) Intermediate value theorem and intermediate zero…

Q: How much material would be needed for the rungs of a ladder of 30 rungs, if the rungs taper…

A: Solution :  The amount of materials needed is the product of the number of rungs with the amount of…

Q: 1. y +2y = x?y³ %3D

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Q: Show that the lines L1 : x = 1 – t, y = 2t, z = 4+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: seeds per hectare

A: expected plant population= 81000/hectare

Q: Arguello works for a sales company with a regular work schedule per week of 40 hours at $14.75 per…

A: Solution

Q: Let P(x) be the fifth-degree Taylor polynomial for a function f about x=0. Information about the…

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

Q: Solve the linear system below using Gauss Elimination and determine whether the Lolution is…

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Q: Q1 630 Given 10 Represent the answer using three (3) significant figures by applying + 541 70 (a)…

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Q: 2. Let A = (1,0, 2) and B= (6,-2, 3). Solve for projAB.

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Q: If A and B are n x n symmetric matrices, then AB is symmetric. A) True В False

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Q: Find the elgenpairs of matrix A and the vector Kty such that the initial vahue problem * = Ax, x(0)…

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Q: Determine the greatest common divisor of the polynomials X4 + X? +1 and X5 + X3 + x² +1 in F[X],…

A: Please check the answer in next step

Q: Which of the following is a solution of the differential equation dy - 6 dx + 9y = 0. 1. y = e -2х…

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Q: Mav was comparing the price of ground beef at two stores. The equation y = 4.81a represents the…

A: Given,  The total cost of ground beef at super grocery B is represented by the equation, y= 4.81x

Q: Which of the following sets of vectors in M22, the vector space of 2 x 2 matrices with real number…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: onsider the following matrix: - 4 12 A = 3 12 2 he following vectors are linearly independent…

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Q: Find the general solution of the following differential equations. 1.   (5x4y + 4x3y3) dx + (3x5…

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Q: Approximate the roots of the polynomial f(x) = X³ - 7X + 6 using False-position method.

A: We will find Approximate the roots of polynomial f(x) = x3-7x+6 using False-position method. steps…

Q: Which of the following is longer than 600 meters? * 60 dekameters 23,000 inches 2,000 feet 600 yards

A: Solution

Q: Show that The Hermite polynomials can be difined by the integral representation H, (x) = (-i)"2"e**…

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Q: 4. Let f(x) = x, Vx E [0, b]. Show that f is integrable and that 62 f(x) dx : Answer:

A: Given function is  fx=x, ∀ x∈0,b

Q: For the following relation ~ on set X, determine whether it is symmetric, transitive or reflexive.…

A: For all x in X, x2 ≠ x2 + 1,hence x ~ x Hence ~ is reflexive.  Now consider the equation          x2…

Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: 6. Let a > 0 and let R be the region under the graph of f(x) 9- ax and in the first quadrant. Find a…

A: We will find intersecting point and then draw region bounded by graphs . Then by integration find…

Q: 3t

A: We have to find the Laplace transform.

Q: Prove the following using the mathematical induction Let c and d be integers. For every natural…

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Q: b) Determine whether the matrices L- ), M = [ - 3 - 2 2 4 3 ,and N = -2 2 are linearly independent…

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Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

Q: 1.    Edmund, living alone, stays next door to his sister who bought the Honda car and very from his…

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Q: 1 A = -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP…

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Q: Which is a solution to the following system of equations? + 3: = 1 2y + 2: = 4 = 3 (r, y, 2) = (4,…

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Q: Decide if the statement is true or false. Assume that C#ø, U#Ø, and CCU. UCO

A: The sets C, D are non-empty sets. The set C is a subset of the set U. Therefore the set U contains…

Q: Find and classify all critical points of the function f(x,y, z, w) = x +y+3z2 + w² +3ry+6xz +5rw +…

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Q: Using the Divergence Theorem, evaluate I= F dS where S is the sphere of radius 2 centered at the…

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Q: 7 similar cars are entered in a race. The cars all have an equal chance of winning and there are no…

A: Given 7 similar cars are entered in a race. To select 1st position ,7C1= 7 choices. To select 2nd…

Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: Determine the coordinates of the centroid of the shaded area. y 25 E 50 60 25 60 70 50

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Q: p3 – 4x2 (x + 2)² ’ x(x+8)(x – 2) (x + 2)³ 8(7x – 4) (x + 2)4 - - - f(x) = with f'(x) = and f"(x) =…

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Q: The following data is given: 1 3 4 9. 12 14 y 2 4 5 7 9 11 Use linear least-squares regression to…

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