Draw an example of a relation that is a function and an example of a relation that is not a function. Be creative. b. Not a function: a. Function: 4 b ● ●

Q: 29 Desde un cierto punto, que dista 20 m del pie de una torre de 10 m de altura, vemos el punto más…

A: This is height & distance problem. We use the trigonometric identity relation of tan(x).

Q: Vector field F is given by F(r) = (x, y, z+1) and surface A is the locus of points satisfying z + x²…

A: The given vector field is  and surface A is the locus of the points satisfying  for .To find the…

Q: Let a = 2 3 3 2 1 4 4 5 6 563 ) and 3 = ( 1 4 2 3 4 5 1 6 3 2 6 5 be permutations.

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Q: Let S be the surface shown in the following figure in the first octant in the xy-plane, and let 7 be…

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Q: Solve the following problem and show your complete solutions. 2. Find the area bounded by x = 1 +…

A: We have two equation x=1+y2 and x=10We have to find the area bounded by these two lines.

Q: On Wednesday evenings in October 2021, each episode of The Masked Singer was typically watched by…

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Q: 2 (90) 2 Determine if S={ all the correct answers }is a basis for R2 and check a. S is a basis b.s…

A: Note: '' As per guidelines we will solve first question. If you want any specific question to be…

Q: Prove that if n is odd then 3n+ 7 is even. Show that if n is an odd prime number it is not…

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Q: Let a : V → V be a diagonalisable linear map where V is a vector space of dimension 4 over the field…

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Q: Consider the matrix 0001 1 30 30 1 4 4 14 0 0 6410 5 1 1 3 0 The maximum number of independent zero…

A: The minimum number of lines needed to cover all zero entries in a matrix is equal to the maximum…

Q: Find the most general real-valued solution to the linear system of differential equations a' = T1(t)…

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Q: egiven differential equation is a model of an undamped spring/mass sy

A: For solve this numerically, we need to convert 2nd order differential to the 1st order code.…

Q: Determine the domain of the rational function. (Enter your answer using interval notation.) x³ + x +…

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Q: 1. Let B₁ = = {-1} {[]} i) Find Rep ii) Find Rep B1 and -{[]} B2 = be two ordered bases for R² C…

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Q: 1. Let R be the ring of all functions f: R → R, with operations of pointwise addition and…

A: Ideal:  Let  is a ring. A nonempty subset  of a ring  is call an ideal of , if following are true.…

Q: Use the divergence theorem F = tan−¹(5y + 8z)i + graphs of z = √√x² + y² to find the outward flux…

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Q: 11/6 is the wrong answer

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Q: 3. Let TV → V be an operator on a finite-dimensional space V. (a) Prove that T is not invertible if…

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Q: foreclosures handled by your firm in each of the months shown.

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Q: Optimal solution: Optimal objective value

A: We have the minimum  value of z=3x−ythe optimal  solution and optimal objective function value:…

Q: 6. (a) Use the Cauchy-Schwarz Inequality to prove that, for any finite sequences of complex numbers…

A: All the problems are application of Cauchy Schwarz inequality

Q: (12) Let f(x) = 17x5 + 3x + 2x +9 and g(x) = x³ + 2x - 1. (a) Compute the quotient and remainder…

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Q: 2. For each of the following functions decide whether it is one-to-one and whether it is onto, and…

A: 2.(i) we see, (1/4, 4) ≠ (1/2, 2)      but m(1/4, 4) = (1/4)×4 = 1            m(1/2, 2) = (1/2)×2 =…

Q: For the function F(x) = -6+ (a) graph the rational function using transformations. (b) use the final…

A: Vertical shifting: To graph of y=f(x) -c, shift the graph of y=f(x) down by c units.

Q: Answer both parts and fill in

A: Given that the polar curves as:

Q: Find an SVD for [-3 1]

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Q: X-2=2 2x+y=-7 5x+1-2x = ²5 rewrite in matrix form AX = b

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Q: Suppose that A is diagonalizable. Show that for any scalar c € F, A+cI is diagonalizable.

A: Let's consider a diagonalizable matrix A. This means there exists an invertible matrix P and a…

Q: 4. For the following two functions f and g, determine go f and fog. f: R → R X →sin (3x) 9: R → R X…

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Q: a) S SR y dA. Y b) S Sy dA

A: Given, D is the region inside the unit circle centered at the origin.L is left half of DR is the…

Q: 4. For the following two functions f and g, determine go f and fog. f: R → R X →sin (3x) 9: R → R X…

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Q: Find the singular value decomposition of the Matrix A

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Q: 1. Use the Direct Comparison Test to determine whether the following series converges or diverges. Ž…

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Q: 5. Find the Smith form of the following matrix: A(z) = (²+1 0 z+2 z²+z 22). z²+2 z Show the sequence…

A: The matrix

Q: ) Find all primitive roots modulo 7.

A: We have to find all primitive root modulo 7.

Q: 4. LADW #5.1.5: Explain (ie either give a counterexample or show that a paricular property in the…

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Q: Let b₁ = [¹3] and 62 = [₁¹]. T(62) = 661 +362. (a) The B-matrix of T (in other words, the matrix of…

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Q: Compute the volume of the solid in the first octant 3y and == 0. Question 6. E bounded by the…

A: The given problem is to find the volume of solid E in the first octant bounded by the paraboloid…

Q: The purchase price of a condominium is $121,500. A down payment of 22% is made. The bank charges…

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Q: Calculate the integral of f(x, y) = 7x over the region D bounded above by y = x(2 - x) and below by…

A: We will find out the required value.

Q: J (X (a) number of possible zeros (b) number of turning points (c) determine all of the real zeros…

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Q: Approximately how much material is needed to make the tent illustrated in the following figure (both…

A: A graph of the tent is given, the aim is to find the amount of material needed to make the tent.

Q: 2. Let A = = 1 -4 -2 (a) Compute the eigenvalues of A. (b) Find a basis for each eigenspace of A.…

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Q: The general solution of the homogeneous differential equation associated with the equation…

A: First we will find out the roots of the auxiliary equation of the corresponding homogeneous…

Q: 3. Problem 3 2 (-)--0) , = 2 (b) Find an orthonormal basis of R³ that contains the vector v₁ (a)…

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Q: Verify that the vector X is a solution of the given homogeneous linear system. X' = (3 cos(t)…

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Q: Part II. Writing the equation d² dt2 in the form of the system dx d dt (c) (d) (e) = V, = x³ + x², X…

A: To solve part(b)., we need part(a) , that's why I am providing the solution of the fisrt two…

Q: Let V = (x)i + (5y)j + (2z)k be a vector field. Let St the upward-oriented surface given by z = 4x²…

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Q: (8) Let p = 7. Compute the index of a with respect to the primitive root g = 5 for a 1, 2, 3, 4, 5,…

A: We recall the definition and solve this problem.

Q: solve the x^4-5X^3+20x^2-40x+60=0 by newton rapshan method given that all the roots of the given…

A: We have to solve the x4 - 5x3 + 20x2 - 4x + 60 = 0 by Newton Rapshan Method.