Ibu Tami has an antique painting whose value increases following the following functions: V(t) = 120(1.3) ³√² Find the growth function of the antique painting.

Q: 4. For the function f(x) = 2x² - 3x² sin x + sin x cos x, evaluate ſ¹₁f(x)dx

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Q: M = 0.80 0.14 0.06 0.07 0.71 ** 0.35 0.41 0.24 What is the missing component in the matrix M? (Enter…

A: Given its a stochastic matrix, either it is a right stochastic or a left stochastic matrix or both.…

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Q: For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the…

A: As per guidelines we are supposed to answer only three subpart. Here question 1, 2 and 3 answared.…

Q: show that the general factorial function: () (¹) (+).. m (a)m here m is a positive integer and n is…

A: Given Data: To show that the general factorial function  αmn=mmnαmnα+1mn.........α+m-1mn here m is a…

Q: 1- Use the method of Frobenius to obtain series solutions of the following. xy" -3y' +y = 0.

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Q: 8. If a coin is tossed 8 times, what is the probability that it will land heads exactly 4 times?

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Q: Evaluate 1 [ f In(y² + 1)dxdy. 0

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Q: Identify the edges of all the spanning trees of the given simple graph b Check All That Apply (a. q.…

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Q: In general, % of the values in a data set lie at or below the median. % of the values in a data set…

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Q: 5. Find the centroid of the region bounded by the curves: a) y = x³; x+y= 2; x = 0 b) y = x; and x =…

A: The area is bounded by y=x3; x+y=2; x=0 The point of intersection is 1,1, 0,0, 0,2…

Q: Consider the following system of equations. 4x2y + 3z = -11 2x + 2y + 5z = 11 8x - 5y2z = -7 Find…

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Q: Find the unit tangent = (a cos t, a sin t, b t) - at any point. Also find the length of one to the…

A: r=acost, bsint, bt, -∞<t<∞ where a>0

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: Let T be an operator on an innner product space V, and suppose that ||T(x)|| = ||x|| for all x in V.…

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Q: Use the Divergence Theorem to evaluate where S is the sphere x² + y² + z² = 1 J[₂ (2x + 2y + z²) ds

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Q: Find the rate at which the total average number of COVID cases is increasing at  x=15 tents and…

A: Let us assume the number of tents be x and the total average number of COVID cases be y.We need to…

Q: Use the simplex method to find the maximum value of the objective function, given the constraints…

A: Max P=21w+14x+20y+10z Subjected to constrain  12w+5x+2y≤303   w+x+y+z≤59…

Q: In each case, find the characteristic of the ring. (a) Zn x Zm (b) M₂(Zn) (c) Zx Zn

A: We know the definition of characteristics of ring,  Let R be the ring then the characteristics of…

Q: Derive the 2D Laplacian operator in polar coordinates, using the following relationship between x,…

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Q: Test the series for convergence or divergence. Part 1: Divergence Test Identify the corresponding…

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Q: . If cos(y) = and y is in the first quadrant, find cot²2/ 5

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Q: 4. Given 1 3 1 -5 8 0-17] -5 1 5 7 1 -3 3 11 7 -19 -13 4 (a) Find orthonormal basis for the column…

A: The given problem is to find the orthonormal basis for the column space and null space for the given…

Q: . Solve the following problem over the interval from x = 0 to 1 using a step size of hi-l and ha=0.5…

A: when h=1 y(1)=1     when h=0.5 y(0.5)=1.5 and y(1)=3.337

Q: units (of oxygen) per 7. Find the oxygen consumption of a fish that is moving at a speed of 2 feet…

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Q: d) 3xy" +4y' +y = 0.

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Q: Prove that : L₁₁ (1-x²) PP dx = 0. 2n(n+1) 2n + 1 . mn. m1 = 11. m, ne N

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Q: Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A: A search committee was formed to find a new software engineer from a set of 50 applicants. The total…

Q: Let b E N. For each integer r = 0, 1, ..., b 1, define Ar = {bq + r | q € Z}. Show that {A0, A1,...,…

A: Given: A set is defined Ar=bq+r : q∈Z, where r = 0, 1, 2, 3, ...., (b-1). To show:…

Q: (2) Is the set {r € Rr² € N} countable? Justify your answer.

A: Yes the set A={x €R : x2 €N } is countable

Q: point Use the graph of f(x) shown below to find the following integrals. (Click on the graph for a…

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Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1

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Q: c) Set up, but do not evaluate, an integral to compute: the mass of a wire following a semi-circular…

A: The given semi-circular path is of radius 2 and contained the plane x=3. The semi-circular path goes…

Q: Example 1.3. Show that the tangent at any point of the curve whose equations referred- to…

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Q: Prove that: L'₁ (1-x²) Pm ³ dx = 0. 2n(n+1) 2n + 1 mn. m1 = 11. m, ne N

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Q: The Maclaurin series is given by the formula fx = Σ n=0 f(n) (0)xn n! Find the Maclaurin series of…

A: We have to find the Maclaurin series expansion of the function  f(x)=xcosx upto three terms.

Q: 5. Show that 2 is a primitive root mod 61 and compute log₂ (29) mod 61.

A: To show 2 is a primitive root we have to show that it has order 60. We do this and illustrate the…

Q: 12-13. A toy has supply equation p = -20+20 ln(x), and demand equation p=190-22 ln(x), 12. a) When…

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: [5] [Elementary row operations as matrices] Consider the two matrices A = 2 2 -1 4 7 2 3 1 Ã 2 0 5 0…

A: Given: A= 223-141 72-1, A~= 2230552 0-5-232To find: a) Write two elementary row operations to…

Q: Problem 6. Find the absolute maximum and the absolute minimum of f(x, y) = ³+y³ 3.r on the region D…

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Q: The total cost C for a manufacturer during a given time period is a function of the number N of…

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Q: 7. Let (a, b), (c,d) E R2. Define a relation ~on R² by (a, b) (c,d) if 2a - b = 2c-d. (a) Show that…

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Q: dx dt 3 B -1 - 9 -3 X, x(0) = 2 4

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Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

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Q: Show that the series (a > 0, ß > 0) a +1 (α+1) (2x + 1) (B+1) (2ß+1) + 1+ B+1 + (a + 1) (2x + 1) (3a…

A: We will use ratio test for convergence    To  check a series ∑anit is convergent or divergent first…

Q: Find the area of the region that is bounded by f(x) = r², the tangent line to f(x) at x = -6, and…

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Q: b) Find constants a and b for which the inverse Laplace transform of s-1 = s²+2s+5 F(s): is f(t) =…

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Q: Evaluate the surface integral ff 3y2 d.S, where S is part of the surface of a paraboloid with…

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Q: The initial probability vector P and the transition matrix A are given for a three-state Markov…

A: Please check step 2 for solution!