6. Show that the equation r7 +5+2x³ +9x8 = 0 has a unique solution on [-1,1].

Q: Verify that the indicated function is an explicit solution of the given differential equation. y" -…

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Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: A: - -2 3 -6 7 Find cos(At) and sin(At) Note: It's the same as finding eªt b instead of writing e2t…

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Q: In a family with 2 children, the probability that all the children are girls is approximately 0.25.…

A: In a family with 2 children, the probability that all the children are girls is approximately 0.25.…

Q: How many years will it take a 1,500$ loan to grow to 2,222.32 at 14% interest, compounded annually?

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Q: An infinitely thin rod of length 1 m has density 8(z) = 1+kr² g/m, where k> 0 is constant and a is…

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Q: Find the inverse Laplace transform of the function by using the convolution theorem. F(s) =…

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Q: Given the differential equation y"-4y'-2y = 5 sin(4t), y(0) = -1, y'(0) = -2 Apply the Laplace…

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Q: Convert the integral below to polar coordinates and evaluate the integral. 5/√2 zy dx dy A = 0 B = 5…

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Q: maximize: 7x1 + 8x2 subject to: 4x1 + x2 ≤ 100 x1 + x2 80 x1 <40

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Q: Let (G,) be a group. Show that (G,) is abelian iff (x+y)¹=x-y- for all x, y E G.

A: Given:It is given that  is a group.To Prove:We have to show that the group  is abelian iff  for all…

Q: The following gives the number of accidents that occurred on Florida State Highway 101 during the…

A: MonthJanFebMarAprNumber of accidents25406090Taken as: XY125240360490Total number of data, n=4

Q: Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (4, 5, 5). (a) Calculate…

A: Given function is  and let  be the line segment from . We have to calculate  and for , .Since,…

Q: 1. Show that the following pairs of matrices are not similar. 1 2 A = and B = 2 1 a. b. C. A = A = =…

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Q: Evaluate √3-2²+1-19 dr

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Q: Find the product 21 22 and the quotient Express your answers in polar form. 21 = V √3cis (²), 22 =…

A: Solution is uploaded below

Q: A graph of a function f is given. -20 -15 204 15- 10- W -5 10 15 x-axis -5 -10 y-axis -10- -15- a.…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Given:S is the surface .To Evaluate: .

Q: Solve []- [253][](0) = 2,3(0) = 10 X -3 Submit Question 2 cos (41)-4 sin (4t) x + X 0 4 2 sin (4t) +…

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Q: Consider the error formulas. |E| ≤ (b − a)³ [max [f"(x)], a≤x≤ b 12n² |E| ≤ (b-a)5 180n4 Use these…

A: Trapezoidal error ruleSimpson's error ruleGiven integration : and We have to find error.

Q: Let f(x, y) = √√1 + 18xy and let C be the curve given by y = 2x³ for 0 ≤ x ≤ 3. Compute fef ds. (Use…

A: is the curve given by for .We have to evaluate the integration

Q: Find the interest paid on a loan of ​$2,100 for three years at a simple interest rate of 12​% per…

A: Simple Interest:The interest amount paid by borrowers to the lenders or the interest amount charged…

Q: The area of the top side of a piece of sheet metal is 3 square feet. The sheet metal is submerged…

A: Pressure= weight * heightForce =  Pressure * area

Q: 2. A The figure above shows the graph of y=ab", where a and b are constants. What of the foll graphs…

A: Let us solve above problem.

Q: bc a b If def-4, find 2d+g 28+h 21+1 ghi a b c 2d+g 2e+h 21+i (Simplify your answer.) ghi

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Q: Reading scores. The​ grade-level reading scores from a reading test given to a random sample of 12…

A: The​ grade-level reading scores from a reading test given to a random sample of  students in an…

Q: 2. Consider the linear system 12 -2x₁ 7 13-0 = 1 1 22 2 5 a). Find the exact solution of the system.

A: As your question has multiple sub parts according to guidelines I only solve the first problem…

Q: Given the following set of data, determine the mode. 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1

A: In the given set of data, the number that occurs the highest number of times is called Mode.

Q: Let x 4 and y 2 yll₁=0 -0 ||x - y||₁ = ||x - y ||∞ = ||x − y||₂ = [3] 5. Compute

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Q: Find the Laplace transform of the following function. f(t) = 3t2 + cos(2t) - est

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Q: While on a camping trip, a camper hung their food bag using two ropes between two trees. One rope…

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Q: In the vector space of real functions on [-, π], let the inner product be defined by ㅠ (f,g) = f( […

A: Using the Gram-Schmidt orthogonalisation prosess to find an orthogonal basis.

Q: 6. Use Euler's formula to obtain two points from the solution of the following differential…

A: As per the question we are given the following first order differential equation…

Q: Find the coordinate vector [x] of x relative to the given basis B= (b₁,b₂}. 3 5 D₁-[-2] ·,- (-2)}-…

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Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

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Q: part D, E and F

A: From part-b the eigen values are So, the algebraic multiplicity for 1+2i is 1.And the algebraic…

Q: Determine the values of n and h required to approximate R02e2xsin(3x)dx to within 10−4 using the…

A: We use concept of trapezoidal and simpson's rule.

Q: Theorem: If n is an odd integer, then ⌊n/2⌋ = (n-1)/2.

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Q: 25 B a Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give your…

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Q: Retail Sales A candy shop sells various items for the price per pound (in dollars) indicated in…

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Q: Suppose A is an n x n complex matrix. (a) If A is invertible, how can we solve the linear system Ax:…

A: (a) If A is an invertible n x n complex matrix, it can solve the linear system Ax = b by using the…

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

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Q: How do we prove the following by doing a direct proof? " Let a  ∈  Z. Prove that if 3|2a, then 3|a."

A: This question is done by the help of number theory concept.

Q: 1. £[7u(t-3)] 2. L[u(t-3) -sin (t - 3)] 3. L[u(t-4) e¹-4]

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Q: Let U₁ = (1, 0, 0), U₂ = (3, 7, -2), U₂ = (0, 4, 1). Le + IR ³ have the usual inner product. use the…

A: Solution is uploaded below.

Q: Show that if n, q ≥ 1 then the number of multiples of q among 1, 2,..., n is ⌊n/q⌋. Hence show that…

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Q: 10. 2x"(t)-2x' (t) - 4x(t) = 2e²¹

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Q: Find the cube root of -4√3+4i.

A: The given complex number .The objective is to find the cube root of the number.

Q: (x+2y) dA where D = {(x, y) | 0 ≤ x + 2y ≤ 1, 0 ≤ 2x + y ≤ 1}.

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Q: (1) Use series to find the solution of the differential equation (x²-1)y" + 3xy + xy = 0 with y(0) =…

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