Consider the system x + 5y + z = 7 2x + 7y - 11z = -2 12x + 7y + 3y = 22 Use (1,2,1) as initial solution.

Q: 67. The DNA (see Figure 3 on page 850). The radius of each helix is about 10 angstroms (1 Å= 10-8…

A: As in Question said we have to Answer the Question of 67 only.  Given 1 A° = 10-8 cm Each helix…

Q: 11-1 11-1 3. Clasify each series as absolutely convergent, conditionally con or divergent n+1 a.…

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Q: Suppose A has 0 as an eigenvalue. What can you say about the determinant of A?

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A: Here. We have to find the relationship between eigenvalues and characteristics polynomial.

Q: 2 Z = (1-2xy + y²) ²¹²2. show that @ A 31 at & [1-2²) ² + 2 (y² 12 )] C )架+ dz dx he lov

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Q: Solve the partial differential equation xu_x+yu_y=u^2 Solve for general solution.

A: Given partial differential is  xux+yuy=u2 is a linear partial differential equation of  first order…

Q: 4. Obtain an approximate solution of the integral equation y(x) = x² + √(x+5) y(5)d5 using the…

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Q: Q6: You are working for a COMPANY that makes floats for ABC commodes. The floating ball has a…

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Q: d²T dx² +0.02(20-7(x)) = 0; 7(0) = 10, T(6)= 70

A: The differential equation T''+0.02(20-T)=0 withT(0)=10 and T(6)=70 By using shooting method to find…

Q: 2-15 SYSTEMS OF ODES Using the Laplace transform and showing the details of your work, solve the…

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Q: Problem Set A 1. Expand the following expressions: a. TC(q)- 2TR(q) - FC(q) b. 5q-(3-2q)³ C. n (2²)…

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Q: $8500 was invested on April 23. The investment was valued at $9,290 at maturity on October 18. What…

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Q: A2/11 Find the inverse of the following matrix 1 2 3 25 3 108 2400 the Gauss-Jordan 202218batrix…

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Q: 2 -8-8-8-6- 6. Write the vector equation a and solve it. 0 1 = 2 as a system of linear equations

A: Given that the vector equation…

Q: dr dt 7(0) = 3i- j (a) Solve the initial-value problem. ( 12t sin(4t))i + (4t√/t² + 1) j

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Q: A line, in R³ which passes through the point (xo, yo, zo) and with the direction vector (a, b, c),…

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Q: 2. Consider the boundary-value problem y" = −(x + 1)y' + 2y + (1 − x²)e¯*, 0≤ x ≤ 1, use the linear…

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Q: Part 1: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon…

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Q: 7. Evaluate ]] drde over the loop of the lemniscate r² = a² cos(20).

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Q: 1. INTEGRALS (a) Let f: [a, b] →→ R be a Riemann integrable function and let c be a positive…

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Q: The dimension of the space of all vectors in R4 of the form (a,b,c,d) such that 2a + b = 3c is a. 1…

A: Given , Dimension of vector space of vectors in ℝ4 of the form  (a,b,c,d) such that  2a+b=3c . (.)…

Q: A conservative force field is given by F = 6 sin (3x)i + 4yj. (a) Calculate the work done by the…

A: F= 6sin3xi^+4yj^

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Q: For the paraboloid S = : {(x, y, z): z = x² + y²} and V = {(x, y, z): x > 0} find two different…

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Q: «Σ(;)" 2 (b) (1 + i)k (c) 2i k=12 Σ «Σ(#) (1) Σ (1) * «Σ(1214) k + k + k=1 Find the sum of each of…

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Q: A college student works in both the school cafeteria and library. She works no more than 10 hours…

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Q: Graph the inequality. yzx-6

A: Given inequality is y≥x-6. To graph the give inequality, we shall first plot the equality y=x-6.…

Q: Trace T rA of a matrix A the sum of diagonal elements of a square matrix, e. g., T r(S) = x + y + z.…

A: The space of symmetric matrices is an important subspace of the space of all matrices. As per the…

Q: Can we go over this solution please. I am not sure I am clear.

A: To solve this problem, we can use the formula for exponential growth: P(t) = P₀(1 + r)ᵗ where: P(t)…

Q: 10 What is the total cost of feeding one ewe from mid-gestation through late gestation (October to…

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Q: X y² Find the eccentricity of an ellipse- half of its maior axis + I a² b² = 1 whose latus rectum is

A: Given: Here is the given ellipse, x2a2+y2b2=1 Latus rectum=12× major axis. To find: The…

Q: QUESTION 2 Find a general solution to the following ODE: d df [sing der] + [n(n+1) sing]f =0. dep 0≤…

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Q: Please answer this question asap I will rate you for sure.   You were asked to find the equation…

A: Sol:- The center of the hyperbola is the midpoint between the two foci, which is (4, (-3-9)/2) = (4,…

Q: 2) a) Find the Maclaurin series expansion for: 1) 4(Z) = 4Z+) 32²+52-2

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Q: QUESTION 10 You are offered the following bet Pay $20. Roll a six sided die. If you roll a six, win…

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Q: . Let A be a circle lying on the unit sphere S. Then there is a unique plane P in R³ such that PnS…

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Q: Show that lim inf a ≤ lim sup a, for any sequence in R n

A: Suppose that {an} is unbounded, then either lim sup an=∞ or lim inf an=-∞. Hence, in case of an…

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Q: The differential equation ------------ ------ 6 - h(x) lim x+ ( f(x) - 6 6 - h(x) x+ ( f(x) - 6 lim…

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Q: Use the point on the line and the slope m of the une to find three additional points through which…

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Q: Find the dimension and a basis of U = r2s+t 0 -3r s-t r, s, tER

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Q: The ratio of Anson's savings to Billy’s savings became 3:11 after Anson gave 1/10 of his savings to…

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Q: Find all solutions to the following system of equations.   x  =  1.5x(1 − x) − 0.7xy y  =  y + 2xy…

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Q: To provide for expansion, a company has established a sinking fund earning 8% quarterly. The fund is…

A: Sol:- To find the periodic payment, we can use the formula for the future value of an annuity: FV =…

Q: 0.5- 0.4- 0.3- 0.2 0.1 0 1 2 3 4 number of successes 5 6 Q Use the above histogram of the binomial…

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Q: Problem 7. Describe all subspaces of the following vector spaces: F2, trand g 2 b.j F²,

A: Ans-We have to determine the subspaces for F22 and F32 a) Subspaces of the vector space F22: Let's…