Sketch the graph of the polynomial function. h(x)= x(x-3)(x+3)(x-7)

Q: Find the slope of the line. -8-6-4 m = 8 6 4 2 -2- -4 -6₂ -8 2/4 6 8 X If the slope is undefined,…

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Q: Find the eigenvalues of the given matrix. -9 108 - 32 OA. -5 OB. -4 O C. -5, -4 OD. -5, 4

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Q: #2 f(x)=x²-4 X²-X-6 a) find the domain b) find the removable disconuity if any c) find verticle…

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Q: X2-420

A: The Given inequality

Q: Find the distance between x = 10 -4] and y = - 3 -8 The distance between x and y is (Type an exact…

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Q: The equation of the ellipse that has a center at (2, 3), a focus at (6, 3), and a vertex at (-3, 3),…

A: Center (2,3)Focus (6,3)Vertex (-3,3)Find a, b, h, k of the ellipse equation.

Q: Show that {₁, ₂} is an orthogonal basis for R². Then express x as a linear combination of the u's.…

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Q: Calculate (x-bar) for the data shown, to two decimal places 19.7 10.4 11.8 26.1 27.3 29

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Q: How many ways are there to express 45 as the sum of two or more distinct prime numbers? Keep in mind…

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Q: Use Cramer's rule to compute the solutions of the system. - 3x₁ + 5x₂ = =-6 7x₁ + 5x₂ = - 36 What is…

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Q: If we write the following complex number in standard form then a = b = Your answers here have to be…

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Q: Basis: Find a basis of the subspace of R³ defined by the equation 8₁+3x2 + 8x3 = 0.

A: The solution is shown in step-2

Q: Let B = = {b₁,b2} and C= {c₁.c₂} be bases for R². Find the change-of-coordinates matrix from B to C…

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Q: 12. Find LU fuctorization of matrix A(with Lunit lower triangulac A= 2-4 2 8-126 1 14-2 U= [2]…

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Q: A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables…

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Q: Determine the values of the parameter s for which the system has a unique solution, and describe the…

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Q: The Peterson family and the Choi family each used their sprinklers last summer. The water output…

A: Peterson family's sprinkler= 20 L/hrChoi family's sprinkler= 35 L/hrTotal hours= 45Total water…

Q: Tom bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $300…

A: The simple interest formula iswhere SI means simple interest, p is the principal amount, r is the…

Q: Show that H = y:x+2y-z + 1 = 0 is not a sub-space of R³. -1=0} is

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Q: Matrix A is factored in the form PDP-1. Use the Diagonalization Theorem to find the eigenvalues of A…

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Q: Find a unit vector in the direction of the given vector. 5 10 -5 A unit vector in the direction of…

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 1 -5…

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Q: f(x)=-3x+4 g(x)=x² The graph of k(x) is shown on the right. 0 8

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Q: Write the following in stan 7x² +4x³ +5+2x

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. 2 -2 -4 2…

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Q: For the matrix, list the eigenvalues, repeated according to their multiplicities. - 1 - 1 0 - 4 0 00…

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Q: Using electronic graphing tools, graph y = 2 sin(3[x - 4])+5 and y = 2 csc(4x − 3) - 1 on the same…

A: Y= 2sin(3 [x - 4]) + 5 (plotted in red curve )Y= 2csc(4x - 3) -1 ( plotted in blue curve)X = -π…

Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 8+ 4x3, x2…

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Q: A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position…

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Q: A theater group made appearances in two cities. The hotel charge before tax in the second city was…

A: A theater group made appearances in two cities. The hotel charge before tax in the second city was…

Q: Solve the following logarithmic equation. If necessary, round your final answer to three decimal…

A: Given

Q: (3) matrices. (a) A = Find a basis for the row space, column space and null space of the following 1…

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

Q: Find the matrix of the quadratic form. Assume x is in R². a. 9x² - 16x₁x2 +6x2 b. 4x² + 12x₁x2 2 a.…

A: We have to find the matrix of the quadratic form. Assume that x is in R2.Matrix of the quadratic…

Q: 8. The graph of y=x² has been transformed as shown in the graph. Describe the transformations, and…

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Q: Let A and B be 3x3 matrices, with det A = 3 and det B = 4. Use properties of determinants to…

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Q: Using matrix algebra techniques, find a general solution to the system. x' = 2x-9y y' = 9x - 80y…

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Q: Compute the determinant of the matrix by cofactor expansion. 1 6 0 0 -8 0 7 5 A. -2 B. -40 OC. -82…

A: To compute the determinate of the Matrix by cofactor expansion

Q: Find an equation in standard form for the ellipse graphed below. 6 5 4 3 2 -4-3 -2 -1 21 + -2- 2 3 4…

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Q: For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. s-8t s+ts,…

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Q: factos. 24+5a-a2

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Q: The matrix has eigenvalue λ = 3 repeated three times. Find an 3-eigenvector for A: 181 7= Give a…

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Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 40 -2 A= 2 0-10 3…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Consider the following rational function. -x³-6 x² - 16 Step 1 of 2: Find equations for the vertical…

A: The vertical asymptote to a rational function  occurs for the values of x for which the denominator…

Q: Find the equations for the oblique asymptotes, if any, for the following rational function. f(x)=…

A: We have the given function f(x) = If there is any oblique asymptote then we have to find it.

Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 70 1 A= -2 0 10 3…

A: Here we have to find a basis for the eigen space corresponding to the eigenvalue of the given…

Q: 5.) For what values of hare + 5 8 -24 vectors linear independent A.) The vectors are linear…

A: In this question , we can find the value of 'n' for which the vector is linear independent .

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R³-R², T ². T(e₁) =…

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Q: 3:04 PM Fri Jul 7 Find the coordinate vector B = (b₁,b₂) b₁ = [4] b 2 = [ ²3/a] = [23] x = KB ³0 в…

A: ,  and We have to find

Q: OO 0 171 - 1 3 1-2 2-4 -9-5 3 -6 1 2 3 w F O 0 7 2 0 -7 -1 3 1 -11 -9 -1 -7 O 3 - 2 -4 6 050 7 9 <-…

A: We know that col(A) is spaned by Linearly independent columns.

Q: Write the equation of the ellipse 25x² +16y² + 200x-64y + 64 = 0 in standard form where: h = k= a =…

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