Consider the function: f(x) = 2x² + 16x + 24 The direction of the graph is like which of the following:

Q: A = 8 9 -9 -1 7 -2 -7 4 -3

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Q: (A) Find the roots (Z₁, Z2, and Z3) of the following equation. 2³-32-2=0

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Q: (a) Which horizontal line is longer? (b) The top line is longer. The bottom line is longer. Both…

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Q: Find the unit vector in the same direction as the vector u = [7, −1]. [Ex: 1.234 " Ex: 1.234 1

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Q: Using implicit differentiation, determine y" if x² + y² = 16.

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Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

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Q: Make a change of variable, x= Py, that transforms the quadratic form 2x + 12x₁x₂ + 2x2 into a…

A: Solution is given below in step 2.

Q: For the sequence an=2(an-1-2) and a its first term is its second term is its third term is its…

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Q: There are 4 quarts in a gallon and 64 tablespoons in a quart. (a) Write a function I that converts x…

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Q: Given the circle and the cardioid respectively, r = 2, r = 2+2 sin 0 a) b) Graph both curves on the…

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Q: using long or synthetic division, find the remainder when f(x)= X to the power of three - 6X to the…

A: The division

Q: (2) 2x₁ + x₂ + x3 = 1 X₁-2x₂-3x3 =1 3x₁ + 2x₂ + 4x3 = 5 (Ans. x₁ = 1, X₂ = -3, X3 = 2)

A: We have to apply cramer's method to solve the system of linear equations.

Q: Graph f(x) = x² + 6x + 8 below by first selecti x-intercept. Clear All Draw: 10 9 -10 -9 -8 -7 -6…

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Q: 1 Use the leading-term test to match the function f(x)=x5 +-x-4 with one of the given graphs. Choose…

A: The solution is shown in step-2

Q: Vinegar is known to kill 82% of germs with each application. a) Determine an equation that relates…

A: I have appended the formula used in the solution procedure part of the question

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

A: The given determinant is .The objective is to solve the determinant along the first-row expansion.

Q: Find the accumulated value of an investment of $10,000 for 3 years at an interest rate of 6% if the…

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Q: At a FedEx factory Paul can fill a delivery truck in "m" minutes. His colleague Jason can fill a…

A: Solving the problem

Q: 4. For the system of equations 2x2+ 5x3+ 7x4 5x2+ 6x3+ 9x4 17x2+ 13x3+ 20x4- 2x2+ 4x3+ a) Write the…

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Q: Use the digits -9 to 9 (only once) to create a real solution between 30 and 80.  Show your work to…

A: Use the digits -9 to 9 (only once) to create a real solution between 30 and 80

Q: Determine the number of winning coalitions in the weighted voting system [100: 50, 45, 45, 3].

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Q: Solve the initial value problem. 4xy 4xy (ayc²¹a - ax + (4x² + 9x 2 y dy = 0, y(2)=3

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Q: Find the logarithm using the change log_(9)15

A: Givenlog9(15)

Q: 7. Is this a linearly independent subset of R³ ? {(1, 4, −6), (1, 5, 8), (2, 1, 1), (0, 1, 0)}…

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Q: 2] Evaluate det (A) by a cofactor expansion along a row or column of you A = 3 1 1 3 1 0-4 5 -3

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Q: Use synthetic division to find the quotient and the remainder. (4x4 +17x³-5x-3) + (x+4) The quotient…

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Q: Factor 15a4b4-45a³b²³ +3093

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Q: Find the infinite sum, if it exists for this series: -2 + (0.8) + (-0.32) + ·

A: The given series is To find the sum of the series.

Q: Let y = 7 4 and u = 2 -6 Write y as the sum of two orthogonal vectors, one in Span {u} and one…

A: Given that ;

Q: Factor. x+x4 -8x³y² +12 x+x4-8x²

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Q: 2. Let «=[2] ×2=[7¹] v=[}] =[G] Find the transition matrix from the basis [u₁, u₂] to the basis [V1,…

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Q: minimum of the function z=-2x1+x2 under the constraints system {3x1-2x2≤12 -x1+2x2≤8 2x1+3x2≥6 x1,…

A: To minimum of the function  under the constraints system.

Q: is X -5 factor of the polynomial X to the power of 3 - 2X to the power 2 -33X +90. Do not divide.…

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Q: Planning for college. At your child's birth, you begin contributing monthly to a college fund. The…

A: The formula for finding the future value of a series of payments P for n periods at interest rate i…

Q: monte (mull Find the common ratio and write out the first four terms of the geometric sequence…

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Q: The objective function is z= 3x + 6y. A. Find the value of the objective function at each corner of…

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Q: A = 0 -1 3 -7 0-5 4 7 1 0 -2 -10 0 10 6 12

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Q: what would be the future value of the following $10 000 invested for 6 years at 4% compounded…

A: The compound interest formula:Where: A = the future value of the investment/loan, including interest…

Q: Write down the first five terms of the sequence an a₁ = 92 = a3 = 04 = a5 = (n+2)! 2n

A: The given sequence is; an=(n+2)!/2nFind next five terms.

Q: A firm producing poultry feed finds that the total cost C(x) in dollars of producing and selling x…

A: A firm producing poultry feed finds that the total cost  in dollars of producing and selling  units…

Q: Use f(x)=x²-1 and g(x)=x² + 1 to find a formula for each expression. Identify its domain. (a)…

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Q: (4) 5x² +10x = 0 (Ans. -2,0)

A: 4)8)

Q: then T IfT: R³ → R³ is a linear transformation such that ([:]). 0 5 T 3 (@-BO-A· ·8-A- -3 T -3 = T

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Q: Problem #10: Find the solution to this problem. Include a diagram and a full solution. Gursant and…

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Q: 5. Determine an equation for the quadratic function with zeros of √5 and - √5 and containing the…

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Q: s) Consider the system Ax = b, where A = 2 3 -4 3 5 -5 7 I1 x = 1₂ 13 2 b: 3

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Q: The profit function for a manufacturer is given by P(x) = -0.04x² +8.25x-250, for x ≥ 50. The…

A: The profit function for a manufacturer is given by  for

Q: _et f(x) = 3x² − 8x + 5. When f(x) is divided by a + 2 the remainder is: When f(x) is divided by x +…

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Q: Evaluate L{f(t)} for f(t) = { 0-1₁ L{f(t)} = 0 80 e-st f(t) dt t, 0≤t<l 1, t≥1

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Q: FactoR. (If the expression is nonfactorable over the integers, enter nonfactorably X³ + 3 +216

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