Prove that 88 B₁ (x)dx = ti+k+1 k + 1

Q: Give an example of a degree three monic polynomial in Z[x] that is irreducible in Q[x] but whose…

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Q: Using matrix algebra techniques, find a general solution to the system. X' = 4x - 6y y' = 6x - 11y…

A: This question is about ordinary differential equation.

Q: 81 I1 a3 0 1 0 1 2 1 0 0 -1 1 -½¼/4 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. 7…

A: Given Information:Tabuleau for particular LPP using big M method is given as…

Q: 2. Is the affine cipher e(x) = 10x + 17 (mod 63) invertible? Yes or no. If yes, find the inverse…

A: To determine if e(x)=10x+17mod63 represents an invertible affine cipher, we need to check if the…

Q: One bank advertises a nominal rate of 5.82% compounded quarterly. A second bank advertises a nominal…

A: Given that one bank advertises a nominal rate of 5.82% compounded quarterly.A second bank advertises…

Q: State the x-coordinates of the inflection points of the curve below. -8 -6 -4 -2 X = X X= 20 y 15 10…

A: A graph is given.Find out the inflection points of the x-coordinate s of the given graph?Inflection…

Q: Write - Q as an ordered pair of ordered pairs, construction of the rational numbers.

A: To explain:Rational numbers in terms of ordered pair of ordered pairs ,  by using addition…

Q: The house you find that would accommodate your growing family costs $295,000. You obtain a 30-year…

A: Loan amountinterest rate per month, number of periods in 30 years,

Q: Learning Target R3: I can use iteration and characteristic roots to solve a recurrence relation. 1.…

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Q: Use Green's theorem to evaluate line integral fe²x sin(2y) dx + e2x cos(2y) dy, where C is ellipse…

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Q: Write the system in the form 1-1 4]+ x' = etx7ty + 4 sin(t) - y = 8 tan(t)y + 4x − 4 cos(t) d ["] =…

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Q: Diego bought some raisins and walnuts to make trail mix. Raisins cost $4 a pound and walnuts cost $8…

A: Diego bought some raisins and walnuts to make trail mix.Raisins cost  a pound and walnuts cost  a…

Q: Consider the problem: Cube equal squares and number. • Use al Khayyami's method and identify two…

A: Solution:Given that, .Now, according to the al Khayyami's method,..

Q: Revenue R(P,Q) = PQ is a function of two variables: price P and quantity Q. Sketch a contour map of…

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Q: 0 X 0, 0, E (1+v) (1-2v) 28, (1-u) (1+v) E D (1-u) 0 C 0 Invert the above to get the below form:…

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Q: 1. The trace for y = 1.5 2. The trace for x = -2 3. The trace for y = -0.6 4. The trace for x = 0.4

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Q: Consider the matrix 3 0 0 M-() -3 4 9 0 0 3 = Find an invertible matrix U and a diagonal matrix D…

A: In this question we will find the diagonal matrix.

Q: A vessel arrives at Port of Shanghai on October 12, 2020 @ 2000hrs. It has 1800 moves to be done…

A: Three cranes were assigned:Crane A( 30 mph), crane B(32 mph) and crane C(33 mph).Cranes A and C are…

Q: Let w, x, y, z be vectors and suppose z = 3x +y and w = −12x − 3y + 4z. Mark the statements below…

A: Let two set of vectors {u1,u2,⋯,un} and {v1,v2,⋯,vm} then Span(u1,u2,⋯,un)=Span(v1,v2,⋯,cm)iff every…

Q: 1. Find the volume of the solid determined by x² + y² ≤ ¹ and z¹ ≤ 1.

A: Solution:[1]

Q: ally dampeus. Exercise 6.2.6: Solve x" + x = u(t-1) for initial conditions x(0) = 0 and x'(0) = 0. m…

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Q: Problem 1 (Exercise 2.9.1) Find the general solution for t > 0. t²x" + tx' - x=0

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

Q: Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to…

A: Given differential equation is Noted that here  is ordinary point for given ODE .So it's power…

Q: Evalulate the limit below by filling in the table. This is probably a function you are unfamiliar…

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Q: Use the factorization A = PDP 21-2²: 15 -42 4 -11 AK = 0 37 10 I k to compute A^, where k represents…

A: Given information:To find:Use the factorization to compute , where  represents an arbitrary…

Q: The human resources director for a commercial real estate company received the following numbers of…

A: Let A be the set of applicants with sales experience B be the set of applicants with collage degree…

Q: For the following problems, draw graphs of f(x), which is continuous, over the interval [-4, 4] with…

A: We have to draw a graph of a continuous function in interval [-4,4] has 1) An absolute maximum at…

Q: Take the following information about the theater industry. The theater seats are classified as…

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Q: Jessica is in a kayak 4 km offshore from a straight road. She wishes to reach a hiking trail which…

A: The kayak is  km off shore from the road and the hiking trail is located  km down the road from the…

Q: a. Find a nonzero element X in W. X = Let V be the vector space of symmetric 2 x 2 matrices and W be…

A: Given: Let  be the vector space of symmetric  matrices and  be the subspace(a): In part (a) we have…

Q: Let us consider that (0,q^2), (1,1) and (p^2, 0) are co linear then prove that 1/p^2+1/q^2=1.

A: We have three points (0,q2) , (1,1) and (p2 ,0) , which are co-linear.So we have to establish a…

Q: Find the correct solution form for the particular solution to the differential equation if the…

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Q: f(x) = 1/x. Please find the following from information below; 1) Determine first four, non-zero…

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Q: In Exercises 5-8, which of the given subsets of P₂ are subspaces of P₂? 5. W {p(x) in P₂: p(0) +…

A: Since you have posted a multiple question according to guidelines I will solve first(Q5) question…

Q: 1 Are the vectors 2 4 −4 2 -5 Choose linearly independent? 3 -1 - 0 and

A: and We have to check the given vectors are independent or dependent.

Q: Convert 743km to metres. ratio 44:52 in simplest form a calculator is R^(258) withou he VAT…

A: Formula:  1 kilo meter = 1000 meters           743 kilo meters =   meters…

Q: Write the system -2x +9y+ 3z + w -3x + 3y - 8z - 3w 7x+y8z - 2w in the matrix form A x Y 2 W where A…

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Q: Compute the Riemann sum S4,3 to estimate the double integral of f(x, y) = 7axy over R= [1, 3] x [1,…

A: Riemann sum is an approximation of a region's area, obtained by adding up the areas of multiple…

Q: Are the vectors Choose 1 HQ-B -5 A+ 2 2 2 -1 3 and -3 linearly independent? -2 If they are linearly…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 6 - ² and y = 0 3 2.…

A: Given that the base is the region bounded by and And every cross-section parallel to the x-axis is a…

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 25 -4…

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Q: 3x2y''+x(1+x)y'-y=0 What is the general solution of the differential equation using Forbenius…

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Q: What if we have x(0)=[3, -3] and x_1'(t)=19x_1(t) - 10x_2(t),   x_2'(t)=30x_1(t) - 16x_2(t)  what…

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Q: Question 4. Let f(x, y, z) = ln(xy + yz), r(t) = 1 +sin(t), y(t) = e²t, z(t)= 1 - sin(t) By using…

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Q: Assuming a, b and k are constants, calculate the following derivative. ([1]) Find a value of k so…

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Q: Problem #9: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of…

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Q: Decide whether or not the infinite sequence is a cauchy sequence. If it is not a cauchy sequence,…

A: The infinite sequence is .To Find:Determine whether it is a Cauchy sequence or not.

Q: Find a general solution to the differential equation using the method of variation of parameters. y"…

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Q: 1. Is the affine cipher e(x) = 9x + 5 (mod 63) invertible? Yes or no. If yes, find the inverse…

A: Step 1: The answer provided below has been developed in a clear step by step manner.As per the…

Q: How much money should be invested in an account that earns 9% interest, compounded monthly, in order…

A: For compound interest, we have the formula                          A =   where  A = amount after  t…