3. Prove that n! > 2" for every integer n ≥ 4.

Q: Learning Target N5: I can encode English sentences into numbers and reverse the process. I can…

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Q: 2. Sketch a graph of r = 1 - sin 0 and r = 1 on the polar coordinate system provided below. Assume 0…

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Q: Write five other iterated integral that are equal to the integral off f(x, y, z) dx dz dy

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Q: d the orthogonal projection ŷ of y = 5 0 -5 = = Span u₁ = {-----})}) 4 , = 2 -4 onto the 3

A: The orthogonal projection of y onto span u1,u2 is

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A: where denotes precipitation and denotes arthropods

Q: 5. Consider X with the discrete metric. (a) Show that every subset of X is open and closed. (b) Show…

A: Consider X with the discrete metric. (a) Show that every subset of X is open and closed. (b) Show…

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A: Consider the matrix A given below.A = [[0, - 1, 0], [- 6, 1, 0], [6, 2, 3]]Determine if x = [[5],…

Q: 5. Marc is asked to simplify the expression √3-√75. He says that since the radical you -------- ----…

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Q: Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y² - 14Y + 55 X + 4Y ≤ 8…

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Q: Problem 1 Consider the set A of all strings of letters a- ● dcbac eba fe aba fa ● ● f of length 5.…

A: According to guidelines we can solve only first three subparts.

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Q: Prove that if R is an equivalence relation on a set A, then the inverse relation R−1 is an…

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Q: b) Isolate b₂. 'M A = b₁ + b ²₂ 2

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Q: 6. LADW #2.2.1bf, page 46 (you only need to do (b) and (f)) - Note that you need to solve the system…

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Q: Find an equation of the tangent line to the curve (a lemniscate) at the point (3, -1). 2(x² + y²)² =…

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Q: Problem #2: Find a 3 x 3 matrix A that has eigenvalues λ = 0, 2, -2, with corresponding eigenvectors…

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Q: Find the limit x lim (1.3) (0,0) 2¹+ y² + y8

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Q: Let S be a nonempty subset of R that is bounded below. Prove that inf S= -sup{-s:s∊S}

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Q: How close is the approximation sin x = x when |x| sinx? How close is the approximation? OA. Error…

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Q: 3.118 Let B be the standard basis for P3. In each part of this exercise, (i) give B coordinate…

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Q: ΣΧ = 120, ΣΥ = 367, ΣΧ2 = 3070, ΣΥ2 = 27517, ΣΧΥ = 9098 and n = 5. 1) The slope of the estimated…

A: Note: According to the guidelines we are allowed to solve three subpart at a time. Please post rest…

Q: Learning Target R2: I can use sigma notation to rewrite a sum and determine the sum of an expression…

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Q: Find the particular solution of the differential equation x²y" + 8xy' +12y = 1x 4 y'(1) = 42.…

A: We have to solve the differential equation.

Q: Can you only use matrix, not wronskian. Also indicate what method of matrix was used.

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Q: Mark the following either true or false. Justification is required. A matrix is invertible if and…

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Q: Match the second order linear equations with the Wronskian of (one of) their fundamental solution…

A: Since you have posted multiple subpart questions, we will solve the first three subpart for you. If…

Q: Show directly from the definition that the following are Cauchy sequences: ^(N+1) B (1 + 2/₁ + ... +…

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Q: Use the PMI to prove that 3-1 is even for all n E N.

A: To Show:  is even using the principles of mathematical induction

Q: x = 9 csc(t), y = 9 cot(t), 0 <t<= (a) Eliminate the parameter to find a Cartesian equation of the…

A: In this question we will find the Cartesian equation and graph.

Q: 17. Let S denote the part of the cylindrical surface x² + y² = 9 that is between the planes z = -1…

A: A parametrization of the surface S is \)" data-mce-style="cursor: default;"&gt;S(u,v)=&lt;3cos⁡u ,…

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Q: Graph the conic section. Identify the vertices, foci, directrices, and asymptotes. Use a graphing…

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Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 4 4 ✓1.S=…

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Q: Let p be a prime number. Prove that Z/pZ is a field.

A: Let R be a commutative ring with unity. Then an ideal M of R is maximal if and only if the quotient…

Q: Show that if f: A→B and E, F are subsets of A then f(E∪F) = f(E)∪f(F) and f(E∩F) ⊆ f(E)∩f(F).

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Q: 3. Evaluate y² x² dA where R is the part of the annulus a² ≤ x² + y² ≤ 6² lying in the first…

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Q: Consider the set S composed of the points on the line segment S₁ between points (-1,0) and (2,0) and…

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Q: ) Consider the following linear programming formulation: Minimize cost = $1X₁ + $2X₂ Subject to: X₁…

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Q: Question Given: DE DF, AE LED and CFL FD. Prove: AADE ACDF. Step Statement DE DF AEED CF FD Reason…

A: It is given that.. To prove that .Let us draw the diagram as follows.

Q: (c) Prove that m is prime if and only if y(m) = m - 1.

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Q: 16. Let S denote the torus (3 + 2 cos v) cos u (3+2 cos v) sin u 2 sin v and compute the flux…

A: Let S be a torus  ,  and .To Find:Flus integral

Q: 4. (i) For an odd number n, suppose that 2" #2 mod n. Can n be a prime? Explain. This is called the…

A: Eulers and fermats little theorem will used