Find the differential of the function f(x, y) 77 dz Now find Az and compare it to your answer above Az www 2e³y at the point (4,3) using Ax Hint: If entering a decimal, round to at least 5 places Question Help: Video Submit Question Z 0.2 and Ay = 0.3 4

Q: 1. Let M be a 4 x 4 matrix A = C = e f M = Assume that we know that det M = 5. Compute determinants…

A: The given problem is to find the determinants of the given matrices A,B,C,E with the given…

Q: Give [M], where M -3 8 9].

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Q: 3. Prove or disprove. (a) If S₁ and S₂ are compact subsets of R, then S, US₂ is compact.

A: Prove or Disprove (a) If  and  are compact subsets of  then  is compact

Q: Solve the linear programming problem by the simplex method. Maximize P= x + 4y = 2z subject to 3x +…

A: The given problem is to find the solution for the given linear programming problem subject to the…

Q: a) Differentiate the function 7- Q(p) = -2√/p³(e- b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

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Q: 4. Compute the determinant using the Laplace expansion (using the first now and the Sonus nule for:…

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Q: 8) Discuss the problem of determining a polynomial of degree at most 2 for which p(0), p(1), and…

A: Let us give a particular example which will ultimately explain the process of finding required…

Q: 1. Our goal is to find a real-valued function u(x, t) solving 1 (1) ut +2ux = 0, 1+x² (This is…

A: Given pdeut+2ux=0 and u(x,0)=11+x2(a) v(x,t) satisfies the equation vt=0Then v(x,t)=ϕ(x) function of…

Q: 6 Let y = -6, U₁5 -2 -3 U₂ = 1 Find the distance from y to the plane in R³ spanned by u, and u₂. The…

A: Given: The vectors ,  and .To find the distance from  to the plane in  spanned by  and .Concepts…

Q: Let P be the parallelogram with vertices (-1,-1), (1, -1), (2, 2), (0, 2). Compute ffpxy dA.

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Q: Please help with this question :Let p  element of Z  be prime . Show that PZ is a maximal  ideal .

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Q: 6. Show that there does not exist a sequence of polynomials converging uniformly on R to f if (i)…

A: A sequence is said to be convergent sequence if it eventually reaches a certain real value as the…

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Q: Consider an object D bounded by y = 0, y = x², and x = 3 with density p(x, y) = In(y). Compute the…

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Q: Find the absolute extrema of the function f(x,y)=-x² - y² + 4x + 4y +1 on the domain defined by x² +…

A: Given             Let…

Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

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Q: 14. When do you use the sine law or the cosine law to solve a problem?

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Q: A. Divergence Test B. Geometric Series C. p-Series D. Comparison Test E. Alternating Series Test F.…

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Q: . Find the Fourier coefficients of the functions given in what follows. All are supposed to be…

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Q: Let D be the unit disk: x² + y² ≤ 1. Evaluate √√ 4exp(x² + y²) dx dy by making a change of variables…

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Q: The formula for the volume of a pyramid is: V = 1/3 s² h The Great Pyramid of Giza is one of the…

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Q: (3) Let H be a subgroup of a group G. Let a E G. Prove that a¹Ha = {a¹ha he H} is a subgroup of G.

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Q: Use the technique developed in this section to solve the minimization problem. C = x - 7y + z 2y +…

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Q: Over what interval is the graph of the rational function positive but decreasing? 2 # 4 0 8 X -2 -4…

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Q: Let A = {a, b, c, d} and let R = {(a, a), (a, b), (a, c), (a, d), (b, b), (b, c), (b, d), (c, c),…

A: Given that   be a relation on the set Reflexive:  For every…

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Q: 1 1 1 1 -2 -2 2 3 -1 -1 -4 8 -1 3 11

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Q: 10. Suppose (an}, {bn} are sequences of nonnegative real numbers with him bn = b = 0 and lim a, = a.…

A: 10. Given that are sequence of nonnegative real numbers with        and       To prove that:

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Q: tobs= -2.5 T Reject HO terit=-2.064 Show Transcribed Text μ=475 OM=14 t0 o The effect size can be…

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Q: Is v= 3 {} -2 an eigenvector of A = 1 -4 3 2 -3 - 1 3 -2 ? If so, find the eigenvalue. 0 -2 Select…

A: Given that  is an eigenvector of the matrix      If  is the corresponding eigenvalue of this then…

Q: Suppose that {a} and {b} are two sequences of real numbers, and that a → L and n=1 n=1 → L where L &…

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Q: Show by means of a truth table that (p ^ q) → p is a tautology. (drag and drop the choices at the…

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Q: 3. The system of linear equations is presented below. -5+ 3y = -7z-x 2x-9 = -3z + y 4z - 2y + 4x -…

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Q: Problems: The inferior limit of a bounded sequence (an) ∞ n=1 is lim infn an = supn inf m≥n an Show…

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Q: 5. Suppose that a function f: R → R is a uniform limit of a sequence of polynomials on R. Prove that…

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Q: Two random variables X and Y with a joint PDF f(x,y) = Cx+y for 0≤ x ≤5 , 0≤ y ≤8 and constant C…

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Q: Let f be a one-to-one function from X=(1, 2, -, n) onto X. Let fk = fofo of denote the k-fold…

A: To show that there are distinct positive integers i and j such that f^i(x) = f^j(x) for all x in X,…

Q: Suppose that [a, b] R is a closed and bounded interval, and let {G:a E A} (where A is any index set)…

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Q: 7. If f is continuous on [0, 1] and if [s f(x)x" dx = 0 (n = 0, 1, 2, ...), prove that f(x) = 0 on…

A: We use Weirstrass Theorem

Q: Find the first three terms of the sequence (B₁f) of Bernstein polynomials for f(x) = x³.

A: The sequence of Bernstein polynomials for a function f(x) is defined as follows:B_n^k(x) = C(n, k) *…

Q: --0--0 and b Find the least squares solution of the linear system Ax = b. Enter the components of…

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Q: Over what interval does the graph of the rational function have positive, decreasing slope? 4 2 0 2…

A: If the slope of the tangent to the graph of a function  at point is positive then we say that the a…

Q: Σ (VO n=2 1. Evaluate the series 3 √(n + 1)n(√n +1+√n) L-3n + (e-π)¹e¹-³n

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Q: For each part, use the data provided to find values of a and b satisfying a2 ≡ b2 (mod N), and then…

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