Using the given zero, find all of the zeros and write a linear factorization of f(x). 3i is a zero of f(x) = x² + 4x² - 45

Q: Below are the instructions to calculate taxes due at the 2022 Tax Rate Schedule for people filing as…

A: To find the tax amount for these taxable incomes of .

Q: (a) (b) Consider the following two systems. (i) Find the inverse of the (common) coefficient matrix…

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Q: METEOROLOGY Use a graphing calculator to write a sine model that gives the average daily temperature…

A: We are given the temperature T(in degrees Fahrenheit) for Boston as a function of t(in…

Q: Prove that if X∩Y=X∪Y=X∪Z, then Y=Z for all sets, X, Y, and Z.

A: , for all sets and .We have to prove .

Q: A rectangular garden is 27 feet long and 15 feet wide. A brick walk way with uniform width is going…

A: Given: A rectangular garden is  feet long and  feet wide. A brick walk way with an area of square…

Q: With respect to the attached figure, line PARALLEL to the line N and passing through the origin, has…

A: We have to find the equation of the line which is parallel to line N and passing through…

Q: 1) z = √√√36-9x² - 4y2 a) Draw a contour map using z = 0, 1, 2, 3, 4, 5, and 6. b) Draw the surface…

A: We have to draw the contour map and draw the surfaceNote: According to the guidelines we are allowed…

Q: Let X be a random variable with the following probability distribution: X f(x) -2 0.5 3 0.3 Find the…

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Q: 2. (i) Find a matrix X such that (ii) Find a matrix Y such that 1 - 32] x = [3] X -2 21 53 Y = 0 2²…

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Q: . Let a, b € Z, and let d = gcd(a, b). Show that the subgroup of Z generated by {a, b} is dZ.

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Q: Solve the initial value problem dy = e e4x - y, y(0) = 7 dx by using an integrating factor. P(x): 1…

A: Here, the integrating factor is already given. We need to use the formula to apply the integrating…

Q: Use the definition of O-notation to prove that 15x3 + 8x + 4 is O(x3)

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Q: Represent the two sets of data on a single stem-and-leaf display. A: 29 32 34 43 48 43 25 39 37 39…

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Q: Solve 2x4+36x > 8x3+6x2

A: Given that the inequality is

Q: Using (a) composite midpoint quadrature rule, compute the approximate value for the integral of x^4…

A: To find:a) The approximate value for the integral of  , using a mesh size (subinterval length) of…

Q: for the parabola that passes through the given points. Write an equation in stand (1,5), (3, 7), (6,…

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Q: what is 3% rounded to the nearest one percent?

A: The objective is to round 3% to the nearest one percent.

Q: 5. Characterize the overall accuracy of the linear model by computing the sum of the square errors.…

A: Let us solve above problem by using the given data

Q: Determine whether each of the following Sequences is convergent. Justify!! @@ (x₁) where x := n 16.…

A: Determine whether each of the following sequences is convergent. Justify.C.   where .

Q: Q3- Given the following system of equations x-y-z = 6 3x - 3y — 3z = 18 6x — бу — 6z = 108 - How…

A: The Augmented matrix of the given systemLets use row operations to find the   echelon form.

Q: 1. Suppose that at some initial point in time 100,000 people live in Auckland city and 25,000 people…

A: The model governing people movement between Auckland and its suburb are given bywhere  is the number…

Q: Consider the function f(z) = |z|² This function is a(x, y) = x² + y² and b(x, y) = 0 a) verify the…

A: Given function: Real and imaginary parts of this function are given i.e.Real part: Imaginary part:…

Q: Suppose that the probabilities are 0.1, 0.2, 0.4, and 0.3, respectively, that 0, 1, 2, or 3 power…

A: The given probabilities are and , respectively, that or  power failures will strike a certain…

Q: 1. The graph of f(x) is below. i -5 A -2 What is the minimum value for f on [-3,5]? What is the…

A: We find the maximum and minimum value of f on the given interval using graph.

Q: Consider the statement: 3x2 ≤ 3x2 + 17x + 5 for all x > 1. Express this statement using Ω-notation.…

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Q: Construct a truth table for the following symbolic statement. (~p→q) → (~q→-p)

A: This question is about discrete mathematics.

Q: A gram of fat contains 9 dietary calories, whereas a gram of carbohydrates contains only 4.¹ (a)…

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Q: Consider the function f : R^2 → R defined by f(x, y) = {(cos x sin y)/y if y ̸= 0 cos x if y = 0. Is…

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Q: Ziba, Inc. manufactures Titanium and Carbon frame racquets. In the coming production period, Ziba…

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Q: A principal amount of $6,000 is placed in a savings account with 6% annual interest compounded…

A: Given:Principal Amount, Annual Interest Rate, Also, given that the annual interest is compounded…

Q: Consider the system of differential equations Y₁ 8y1 - 4y2, y₂ = 10y₁-4y2. =

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Q: Convert the following general linear programming problem into standard form: - 2x1 + 3x3 max s.t.…

A: We have to convert the LPP into standard form Max s.t

Q: Find equations for (a) the tangent plane and (b) the normal line at point Po(0,1,2) on the surface…

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Q: Given A,B,C subsets of a universal set U, show that A - B = B - A

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Q: For the metric space (R, de) where de is the Euclidean metric, does there exist a set { /:nEN} ?…

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Q: d) ху" +2(x-1) ц' -Gy=x4+2/sx-4c-x

A: Given differential equation:To find:The solution to the second order non-homogeneous differential…

Q: Let v = (-1,3,4). Find (a) a unit vector in the direction. of v and (b) a unit vector in the…

A: The given vector .The aim is to find the unit vector in the direction of  and the unit vector in the…

Q: For a fixed set A. Which of the following propositions expresses the fact that the intersection of…

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Q: a) Create a variable m that is a column vector with 6 equally spaced elements in which the first…

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Q: Sölve the system using matrices (row operations) How many solutions are there to this system? A.…

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Q: 2. Which of the following are groups? For those which are not groups, explain why not (it is enough…

A: 2)(i)  under   is  not  a  group  since which has  no  inverse  under    (ii) Let      Then,   is…

Q: A student needs to type a 50-page report and turn it in within 14 days. They recorded their progress…

A: We have given coefficients of determination..means only 33% data is explained by this…

Q: The table represents an exponential function with a horizontal asymptote at y = –3. x –3 –2 –1 0 1…

A: Given the table represents the exponential function with horizontal asymptote…

Q: 7. Is there a value a such that f(x) = 9x² + 4 and g(x) = (3x - a)² are equivalent? Explain.

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Q: Find the Cholesky factorization A = RTR of the matrix 4 -2 0 -2 0 2 -3 -3 10

A: The given matrix is .To find the cholesky factorisation  of the matrix.

Q: Populations that can be modeled by the modified logistic equation dP dt P(bP-a) can either trend…

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Q: Let G be the graph shown in the diagram below. V1 V2 V3 VA V5 V6 07 Is there a cycle of G that…

A: The given graph G is shown in the following diagram.We know that a Cycle in a graph is a non-empty…

Q: Determine the integral curve for the vector field F(x, y, z) = (1, Xyx, xyz) subject to the…

A: Determine the integral curve for the vector field  subject to the constraints , , and .

Q: IN || |z| N = b) w = (21)7 |w| = c) u = 3. 3 |u| = 1 (-2+2/)¹1 ✓ and arg(z) = X and arg(w) = X and…

A: Given that complex numbers as We need to find the modulus and argument of these complex…

Q: The following problem is that of discrete mathematics. Determine whether the statement is true or…

A: Given statement isThe difference of any two odd integers is even.