Divide using synthetic division. x5 +4x³-5 x-1

Q: Determine whether the given relation defines y as a function of x. y=16x5 Is y a function of x? O No…

A: given that y =16x^5 for all real values of x , 16x^5 is also real  Also every real number x has…

Q: 11. Find all the zeros of f(x)=x²-x² - 4x³² +8x² −32x+48 using synthetic division. Write fix) in…

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Q: uppose a linear programming (minimization) problem has been solved and the optimal value of the…

A: (a) In general, If the new constraint passes between the feasible region, the new feasible region…

Q: Consider the three vectors u = (0, -2,3), v = (1,-4,0) and w=(-4,3,-5). a) Find the cross product…

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Q: Consider the function. f(x) = { -25 x+1, -7 < x < 0 1-x, 0≤x <7' (a) Sketch the graph of f(x) for…

A: Draw the graph:

Q: K Solve the given initial value problem. dx dt dy dt = 6x + y; = - 2x + 3y; x(0) = 3 y(0)=0 The…

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Q: A graphing calculator is recommended. Find a power series representation for f. (Give your power…

A: Finding the power series:

Q: 2. For the following systems with complex eigenvalues, find the general solutions: -5 (a) x² = ( 15³…

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Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

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Q: The vector u has a length of 7 and the vector has a length of 1. When the tails of the two vectors…

A: Please refer to the solution in next step.

Q: 2 -5 1 4 -1 2

A: Given that W is a subspace whose basis is {(2,-5,1),(4,-1,2)} We have to find the orthonormal basis…

Q: 5. Find a polynomial of degree 3 whose zeros are 4, 1, -2 and y intercept 16.

A: According to our guidelines we can do at most one question at a time. Please post remaining question…

Q: Diane drove 408 miles using 16 gallons of gas. At this rate, how many miles would she drive using 11…

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Q: use the laplace transform to solve the following IVP x' (+) + x (+) = f (+) x(0)=0 1 where O te[1,2)…

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Q: he initial value problem below using the method of Laplace transforms. +6y' + 5y = 160e³t, y(0) =…

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Q: Let A be an m x n matrix. Suppose that m > n. (a) Can we conclude that the system Ax = 0 has more…

A: To clarify a few claims.

Q: 1. Solve 2 cosx-4=0. Explain the solution.

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Q: Find the general solution to 2t²y"+ty' - 3y = 0, t>0 given that yo(t) = is a solution. Write the…

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Q: a) For which p-values is the following series convergent? 1 n(2p+5) n=1 b) Find the radius and…

A: a) The given series ∑n=1∞1n(2p+5). We have to find the values of p for which the series convergent.…

Q: 5. Determine whether the series below converges conditionally, converges absolutely, or di- verges.…

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Q: Consider the vector field v(x)=(y/(x^2+y^2))i − (x/(x^2+y^2)) j + 4k. Calculate ∫Cv dr, where C is…

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Q: 2) Consider f(x) = SIN(TX). a) Construct. Newton's divided difference interpolating polynomial of…

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Q: 5. Let a, b, c, and n be integers. Prove that if a = b (mod n) and c = d (mod n), then a − c = b -d…

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Q: Internet Audience At the end of a certain year, the four companies with the largest number of home…

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Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: Find a singular value decomposition of the matrix A. A = [(1 0), (1 1),(-1 1)] it is a 3 by 2…

A: Solution,                           A = 1011-11Here we are trying to find out two…

Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be +18, where t is…

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Q: A woman, with her employer's matching program, contributes $500 at the end of each month to her…

A: Consider the provided question, Calculate the Future Value of money contributed in her retirement…

Q: Determine the inverse Laplace transform of each of the following: 3e-2 F(s)=2-9 (a). (b). F(s) =…

A: We have to find out inverse Laplace transform for given functions.

Q: K Determine if the following vectors are orthogonal. u= 13 2 -7 0 V= 4 19 -2 3 Are the two vectors…

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Q: Parseval's identity to establish the sum 96 1 (2n-1)*

A: We know that, ∑1∞1n4=π490

Q: (0) (a) (b) (e) (d) 0 0 0 0 0 1 0 4 1 -2 0 1 0 0 0 0 0 1 0 0 2

A: Simplex method is a techniques to solve the linear programming problems.   Given:-Here the given…

Q: b) Evaluate the value of I = S(eºy − 3x) dx + (6xey + y)dy, where C' is the parabola y = C (0, 0) to…

A: The integrand is given here as         (e6y - 3x)dx + (6xe6y + y)dy        = (e6ydx + 6xe6ydy) -…

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini WILL RATE…

A: A large tank contains 100 gallons of water with 30 pounds of salt dissolved in the water. a) The…

Q: A construction crane sells for $800000 if purchased new. After that, the value decreases by 40% each…

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Q: Use the given information to complete problems 5 and 6. Five students have the following locker…

A: Five students have the following locker combinations                       9-20-10…

Q: 1. Evaluate log381 + log,64 a. 5184 log 81 log 3 + 4 64 (6.) 7 c. 1 Af d. 145 = 71 2. Express logma…

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Q: The Table below represents volume and trip cost data from which you are asked to determine the…

A: To find: The volume of drivers paying the optimum toll,  Given Data:

Q: 3. Let D be the closed triangular area that lies on the plane 2x+y+z= 4 in the first octant r≥ 0, y…

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Q: 2. Consider the following ODE initial value problem: y"" + e-ty" - cos y = 0, y(0) = 1, y'(0) = y"…

A: Runge kutta of order 4: Convert the system of first order equation then apply:

Q: (a) Write out the following sum in summation notation 1 2 3 4 + + + X 2² x3 (b) Expand (1+2x²)5 and…

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Q: Find an orthogonal set with the same span (and same number of elements) as 4 -4 15 8 > 2 1 7 -8 3 12

A: v1=4-4158, v2=1217, v3=-1-8312

Q: Calculate the rate of change of the function f(x, y) = cos(ry) found by moving in the direction of…

A: Calculate the rate of change of the function f(x,y)=cos(xy) found by moving in the direction of…

Q: ketch a graph of the polynomial function p, which is given by p(x) = 3(x + 5)3 (6 − x)9 (4x − 2).

A: The given polynomial function is, px=3x+536-x94x-2. For the graph put different values to obtain the…

Q: Let P 2 be the vector space of all polynomials of degree less than or equal to 2, under the usual…

A: Here, the vector space of all polynomials of degree is less than or equal to 2 under the usual…

Q: Evaluate the polynomial P(x) = x³ - 3x² - 10x + 24 at x = 2. Use this result to factorise P(x) into…

A: Given that Px=x3-3x2-10x+24 . Solution given below.

Q: Find a minimum value for the radius of convergence of a power series solution about X- (x − 5x +4)y"…

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Q: 4(a) A function f(x) defined on [0, 1] may be represented by its Fourier cosine series given by 1 2…

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Q: 3. Use the method of Frobenius to find the general solution near x = 0 2x2y" +7x(x + 1)y' - 3y = 0

A: The given differential equation is: 2x2y''+7xx+1y'-3y=0. Divide by 2x2 on both sides.…

Q: Solve the following exponential equation using logarithms: 75(1.08)" = 450

A: 1. The given exponential equation 751.08n=450. We have to solve the equation for n, using the…