Find the value of the determinant D given by: b 3 d -4 a D= с 6 9 9 where a = 3, b = 4, c = 11, d = 12 Give your answer as an integer.

Q: Testing for conservative vector fields Determine whether thefollowing vector field is conservative…

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Q: 1 Problem 10: Consider the matrix B= 0 -2 1 (4) Find a basis for the null space of B. (5) Verify…

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Q: Explain why both the Riemann sum R(f,P) and )f b/a ffall between L(f,P) and U(f,P). (b) Explain why…

A: asvhgavsghdvgahsvdgxhas

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Q: . The squares of a rectangular board of 11 rows and 9 columns are numbered sequentially 1 through 99…

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Q: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: Speed (km/h) 40 60 80 90 100 Stopping Distance (m) 6.6 14.9 26.5 33.5 41.4 Time left 0:31:52 The…

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Q: 4- with explanation, find the particular solution of 3xy¹ - y = lnx + 4, satisfy y(1) = -2 +¹, x >0

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: If p(x) ∈ F[x] and deg p(x) = n, show that the splitting field for p(x)over F has degree at most n!.

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Q: If A is an orthogonal matrix, its QR factorization has Q = __ and R = __ . Therefore RQ = __ . These…

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Q: dx x dyx+(1+x7y}=12

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Q: Let h be a continuous function over the interval [-10, 6] with derivative given by h' consisting of…

A: Given h is a continuous function over the interval -10,6. The graph of the derivative of the…

Q: Find a fundamental set of solution for the following system of differential equation. x' = 12x + 2y…

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Q: The following problem is nonconvex because the equality constraint is not affine, and the inequality…

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Q: 4. Suppose X: SR has a countable range R. Show X = B/B(R) iff x-¹({x}) e B, Vx € R. €

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Q: The equation f(x)=ex -x has a single real root. Find it using the Bisection method (do at least 2…

A: To find : The root of the equation f(x) = ex - x using bisection method.

Q: Running heats In Olympic running events, preliminaryheats are determined by random draw, so we…

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Q: 13) Find the volume and the centroid of the region bounded above by sphere r = a and below by the…

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Q: Prove that limx → c f(x) = ∞ if and only if for every sequence an that is in the domain of f and…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Show that the change of variables y = x/2u trans- forms the differential equation y"+(1-) -0 3 y 0…

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Q: Let /(x). +z, -=<I<0, 1- -*+2 OSZ<*. (a) Sketch the graph of f. (b) Find the Fourier series of f.…

A: The given problem is to sketch the given periodic function and also to find the Fourier series…

Q: 978-3-16-148410-0

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Q: A six-problem homework on which the Ph.D. is fastest gives a second constraint 2x1 + x2 + x3 = 6.…

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Q: Question 5. Solve for y(z) given that y"+12y +37y--222 subject to y(0) = -9 and y'(0) - 22. (1)…

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Q: Solve the system 21 X2 103 LC4 = +8 +t 521 -622 +3x3 +324 = 2 -21 +22 +2x3 +324 = 2 4x15x2 +5x3 +6x4…

A: We can solve the system of linear equations by using matrix method very easily. So let them into…

Q: 2-18. Wyoming Electric Coop owns a steam-turbine power-generating plant. Because Wyoming is rich in…

A: Answer given below.

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Q: (d) If each fn has fewer than M discontinuities (where M ∈ N is fixed), thenf has fewer than M…

A: To Show: If each fn has fewer than M discontinuities (where M ∈ N is fixed), then f has fewer than M…

Q: Consider the following system of second-order differential equations: x ̈ = −0.7x + 0.9y, y ̈ =…

A: Given that the following system of second-order differential equations:…

Q: 3. Explain why whenever A is Ax = 0 always has linear transformation, solution

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Q: Exercise. Suppose that (X, p) is a metric space. a) Prove that any set in X consisting of precisely…

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Q: Alex is measuring the time-averaged velocity components in a pump using a laser Doppler velocimeter…

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Q: determine two linearly independent power series solutions to the given differential equation…

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Q: (Term-by-term Differentiability Theorem). Let fn be differentiable functions defined on an interval…

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Q: a Let V le the pace of polynomials of degree at most 3, and T:VV be given by Tf - f^²+2f¹²+ 3f.…

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Q: For each of the following functions, show whether it is convex, concave, or neither. (a) f(x) = x² +…

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Q: Find a basis for W, the orthogonal complement of W, if W is the subspace spanned by - 3 4 -2 0

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Q: PART 1-MAP READING The following drawing represents one square mile or 640 acres. The name inside…

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Q: Find the best fit line for (17,4), (-2,26) (11,7)

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Q: For each n ∈ N, let

A: Given: hnx=12nif  12n&lt;x≤10if  0≤x≤12n; n∈N and Hx=∑n=1∞hnx. We have to show that H is integrable…

Q: Let T and U be a self-adjoint linear operators on an n-dimensional inner product space V, and let A…

A: Given Data: We have to prove: (a) T is positive definite (semi definite) if and only if of eigen…

Q: Volumes of solids Use a triple integral to find the volume of thefollowing solid.

A: Given: Cone: z=x2+y2 Sphere: x2+y2+z2=8. We have to find the volume of the solid.

Q: A quantum particle is trapped in a quantum system, giving it three discrete set of energy states.…

A: As per the question we are given a 3×3 matrix H asn we have to find : All possible energies i.e.…

Q: Using the Fundamental Theorem for line integrals Verifythat the Fundamental Theorem for line…

A: Given: Integral,I=∫c∇e-xcosy·dr; C=0, 0→ln 2, 2πTo find: The value of a given integral using the…

Q: Consider the function f(x)=e³x. Evaluate f'(1)using: (i) Forward difference Method with truncation…

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