Find the roots of the polynomial equation. 2x5 +7x4-18x²-8x+8=0

Q: Unrestricted. Bacterial Growth A cenain colony of bacteria grows at a rate proportional to the…

A: The number of bacteria doubles every 12 hours. To determine: The time taken by the colony to grow to…

Q: Compute the indicated product.       −1 3     4 2     0 1     3 1 3 5 3 4

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Q: The matrix aij and vector b; are specified by [5 0 --61-8 aij = 3 3 b 4 4 0 Determine the following…

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Q: For each of the following rational functions, determine the monomial function that best approximates…

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Q: What is the differentiation of : z = 5(x^3)(y^2)

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Q: Question 1: Evaluate fe²-² vertices (0, 1), (1, 0), (1, 2), (2, 1). yez²-y² dA where R is the…

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Q: i If (a,ß), a<0 is the unit vector that is parallel to the tangent line to the curve y=-1x²-x at the…

A: The equation of the given curve is            y = -x2 - x        =&gt; dy/dx = -2x - 1 So, slope of…

Q: Either A(1, 3, -7) and B(0, 2, -4). What is the exact size of AB?

A: The given problem is to find the exact size of AB where given A(1,3,-7) and B(0,2,-4). We have to…

Q: A conservative vector field is given by F = (−2x + 2)i + (−z+1)j + (−y + 2) k Select two options…

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Q: find a reduced residue system modulo 28; state the value of theta 28

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Q: Consider these lines in three-space. ₁: [x, y, z]= [5, -3, 6] + [-4, 1, -2] l₂: [x, y, z] = [3, -8,…

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Q: Write US states begin with Letter "M" using roster notation.

A: We want to write US states begin with Letter "M" using roster notation.

Q: Find all the second order partial derivatives of the given function. 10) f(x, y) = (x2 + y2)7

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Q: [3] 37 Let A = Write 2A. Is det(2A) equal to 2det(A)?

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Q: Celestial Sphere: Define the terms "Right Ascension" and "Declination" and give their units of…

A: Right ascension and declination are terms used in astronomy to describe the position of celestial…

Q: 8. Two planes take off at the same time from an airport. The first plane is flying at 255 miles per…

A: If there are no wind currents blowing, we have to find how far apart are they after 2 hours. andWe…

Q: What is the total differential: w = (x^2)(z^2) + sin(yz)

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Q: Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire…

A: Inference. Use the rules of inference. Given the premises: If the steak is well done, it’s…

Q: Solve the given differential equation by undetermined coefficients. y'' + 2y' + y = sin(x) + 2…

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Q: Which relation below is a total order? O A = {2,3,4} ordered by the relation R on A defined as…

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Q: 2.1 EXERCISES In Exercises 1 and 2, compute each matrix sum or product if it is defined. If an…

A: This question is about basic operation on matrices.

Q: Consider the vector field F = 2i+yj + (x + 2) k and the surface S defined as the surface of a cube…

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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

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Q: Solve the linear congruence 17x = 9 (mod 276) using systems of congruence.

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Q: Section 2.5: Consider the matrix A = 2 4 4 1 0 1] 3 1 4 4 and the vector b = 3 7 i. Find the LU…

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Q: Let X be an exponential variable with unknown parameter \. We know that P (X ≤ 10) = §. Find the…

A: We are given that         X ~ exp(λ)     So, P(X ≤ x) = 1 - e-λx                       [cdf for…

Q: Write a polynomial p(x) whose roots are 1 + √2 and 1-√3 such that p(2) = 5.

A: The given roots are, 1+2, 1-3 Since the given roots are irrational and as they exist in pairs we…

Q: relation O on Z as follows: \m, n = Z, mOn → ³k € Z | (m − n) = 2k +1 choice that is true. ation O…

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Q: Use the simplex method. Minimize g = 10x + 9y + 11z subject to x + y + z 2 3 y + 2z 22 x 22. (x, y,…

A: To Solve: Min g=10x+9y+11z  subject to x+y+z≥3 y+2z≥2 x≥2 Using Simplex-method.

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Q: 8) Find a unit vector in the direction that f(x, y, z)=2x² +6xz²-yz³ increases most rapidly at the…

A: Given: A function fx , y , z=2x2+6xz2-yz3. To Find: Unit vector in the direction of the given…

Q: Correct k(x)=5x-((2+2x))/(5) intercept as an ordered pair. Simplify your answer.

A: Given: kx=5x-2+2x5To find: The intercept as an ordered pair.

Q: Consider the mountain known as Mount Wolf, whose surface can be described by the parametrization (u,…

A: Given that the mountain known as Mount Wolf, whose surface can be described by the parametrization:…

Q: Find the general solution of the following system of differential equations: 1 40-€88 -4 -6 4 -2 -2…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Verify that det EA = (det E)(det A), where E is the elementary matrix shown and A= E The determinant…

A: The given matrix is  A=abcd, E=1k01 We have to verify detEA=det EdetA. Also, aij=a11a12a21a22 We…

Q: Suppose that f(x,y) is a differentiable function and that its partial derivatives have the values…

A: Sol:- We can use the linear approximation formula to estimate the values of f(1,7), f(2,6), and…

Q: A) Discuss the convergence of the 2) 2 3" following Series: WE

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Q: y" + cy=sin(2t). (a) For what value of c does resonance occur? Compute the solution at resonance…

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Q: Solve the problem. The paired data below consist of the costs of advertising (in thousands of…

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Q: (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = g(2) = g(4) = g(6) = g(8) = g(10) =…

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Q: The time required to process a shipment of oysters varies directly with the number of pounds in the…

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Q: Let S be the closed surface that consists of the hemisphere x² + y2 + z2 = 1, z ≥ 0, and its base x²…

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Q: Graph the feasible region for the given system of inequalities. x + 2y ≤ 6 2x+y ≤ 6 x>0 y 20 Use the…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞…

A: We will estimate the limit.

Q: Use a comparison ·∞ 2x+3 (ª) ſº - (b) test to determine whether or not the integral converges: dx…

A: Comparision Theorem :       Suppose that f and g are continuous functions with fx ≥ gx ≥ 0 for x ≥…

Q: Find the points on the curve y = x³ -3.5x² + 10x + 15 where the tangent is horizontal. List the…

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Q: In a 6L and 12L bottle, can we measure out 5L? Why or why not?

A: No, it is not possible to measure out exactly 5L of liquid using only a 6L and a 12L bottle.

Q: 4 6. This rectangle of x's is of another (original) rectangle of x's. X X X X X X X X X X X X X X X…

A: The given rectangle is 45 of original rectangle which means 45 of number of X's in the original…

Q: Determine if the columns of the matrix A = Yes O No -2 1 40-4 are linearly independent. 24 6

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Q: Q11 Solving the mathemtical model of linear programming Simplex method i min z = 2000X₁…

A: The given Linear programming problem is: min…