An artist with a palette of 12 colors designs a flag with 5 different vertical stripes. Find the number of possible flags she can create.

Q: 1. Given f(x) = x + 1 and g(x) = x² + 3x + 2, determine a simplified equation for h(x) = f(x) +…

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Q: it took 14 9 gallons of gas to fill the gas tank of Kim's car. She had driven 357.1 miles since her…

A: Kim's car took gallons of gas to fill the gas tank.She had driven miles since her last fill-up.The…

Q: Given c = -27 + 8j and a = 107 + 4j, find ||ē+ ā|| and |||| + ||ā||. and a = 107 + 43,1 Give EXACT…

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Q: Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is…

A: Two chemicals A and are combined to form a chemical C. The rate, or velocity, of the reaction is…

Q: 1. Determine the radius of convergence of the series Σar", where an is given by: (a) 1/n". (b)…

A: Note: As per our guidelines, we can solve first three subparts. Please repost remaining parts.

Q: 4. Consider the following autonomous first-order differential equation. dy = y² (y²-9). dx Find the…

A: For an autonomous system of the form: , it can be written that:The region above or below the…

Q: K ✓ A motorboat starts from rest (initial velocity v(0) 0). Its motor provides a constant…

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Q: Let x₁ = 5 and x n+1 = X n 2+4 2x n n 1. Find lim x " n n→ ∞

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Q: 3. Solve the following system of ODES : a. =x√ √ x² + y² dy dt dx dt = - 2 +y X (0) = y(0) = $ h =…

A: Given information:A system of ordinary differential equations (ODEs):dydt=xx2+y2dxdt=−yx2+y2With the…

Q: Solve each system of equation is a separate worksheet. x1 x2 + 2x3 6 1. 2x1 + x2 3. X3 x1 + 3x2 +…

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Q: (a) Evaluate the following integrals (i) (2t + i)² dt. (ii) fot, dt. 2 t+i ㅠ (iii) S 2teit² dt.

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Q: For the next 3 problems - Find the equation of the line graphed, find a second e number of solu that…

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Q: y = Find the indicated coefficients of the power series solution about x = 0 of the differential…

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Q: Find the general solution of the given differential equation. Determine whether there are any…

A: Since there are two questions, find the solution to the first question.

Q: Use the contour map to calculate the average rate of change from A to B and from A to C if a = -6.…

A: Given: The contour map:where a=-6.To Find: Average rate of change from A to B and from A to C.

Q: Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of…

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Q: A sample of 20 plants was collected and the mean height was calculated as 8.3 cm. A 95% confidence…

A: Given ,Sample size n = 20mean height is 8.3 cm95% confidence level for the true mean(3.5 cm, 13.1…

Q: Consider the following matrix (4), calculate: (a) its inverse matrix (b) all eigenvalues (use a…

A: A given matrix .To Find:a) Inverse matrix.b) All eigenvalues.c) One eigenvector based on one of the…

Q: Solve by separation of variables dy dx = cos 2x

A: We have given given D.ESolve by using variable seperable form.

Q: Solve the given boundary-value problem: y" + 3y = 6x, = 6x, y(0) = 0, y'(0) = 2

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Q: You are paying a series of five constant-dollar (or real-dollar) uniform payments of $2.286.84…

A: A uniform payment of  begining at the end of first year.The inflation rate and the market interest…

Q: 6. Prove that n, n+2, n +4 are all primes if and only if n = 3.

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Q: The Fibonacci numbers F(0), F(1), F(2),... are defined as follows: F(0) := 0 F(1) :=1 F(n) := F(n −…

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Q: A combination lock consists of a dial with 40 numbers on it. To open the lock, you turn the dial to…

A: Given,Combination lock consists of a dial with 40 numbers.We have to turn the dial to the right…

Q: The National Housing Authority (NHA) wants to investigate the relationship between the size of…

A: We have given data table for size of houses (x) in hundreds of square feets and the monthly rents…

Q: an n→∞ An + 1 2 = 0. Show that lim an n→∞ (5) Suppose lim = 2.

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Q: Solve the following system using augmented matrix methods: (a) The initial matrix is: (b) First,…

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Q: Finding the third order Taylor polynomial P3(x) . This would be change in bottom question. Please…

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Q: 2. Find the curvature function k(t) of the curve r(t) = (cost+t sin t, sint -t cost, 2t); also find…

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Q: a. Suppose g is continuously differentiable. Prove that f(x, y) = g(x + y) is supermodular if and…

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Q: min e+ e1+₂ +€²1+x2+x3 +²1+x2+x3+x4 +²1+2+3+4+x5 s.t. x1 ≥ ₂ X2 X3 X3 X4 X4 X5 x1 + x2 + x3 + x4+x5…

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

Q: Consider the matrix: 2-1 1 A 1 2 -1 1 -1 2 1. Find Q and D such that A. 2. Find the maximum and…

A: Given Information:To find:1) The matrix .2) The maximum and minimum values of 3) The Direction of…

Q: (5) Consider the plane defined by x+y+z+5= 0. Let (ro, Yo, zo) be an arbitrary point in R³ and let…

A: The equation of the plane is given by:.Let  be an arbitrary point in  and  be the point in the plane…

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: LOT A = [ ₁ - 10 Let 1 D= 0 1 1 -1 1 Construct a 4x2 matrix D, using only 1 and 0 as entries, such…

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Q: Assuming that all matrices are n x n and invertible, solve for D. ABCT DBA¹C = ABT. D =…

A: Given that :  are  invertible matrices.Then, are  all  exists.                   It  is  also…

Q: 6. Use the nth derivative test to show that -x has a maximum at x = 0.

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Q: Evaluate the expression P(14, 3), equivalently P Your answer is: Question Help: Video Submit…

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Q: The density of silver is given as a rate of 10.5 g/mL. What is the density of silver in pounds per…

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Q: -) Consider the following graphical solution and Simplex Method path for an LP with objective…

A: From given feasible region we can write the associated mathematical form of LPP:sub to:…

Q: McDonald's sell their chicken nuggets in packs of 6,9, and 20. For what number can you recieve any…

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Q: ← It is estimated there are 1500 bears living in a certain region. Assume that biologists capture,…

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Q: The given matrix determines a linear transformation T. Find all x such that T(x) = 0. 3 -3 -8 - 1 6…

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Q: The following differential equation is separable as it is of the form = g(x) h(y). dy dx dy - (y -…

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Q: Let A - -5 -2 -5 -10 -5 -7 -20 -7-22| Solve the equation using an LU factorization of and b - Ax = b…

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Q: For each given matrix, determine whether it's in reduced row echelon form, in row echelon form only…

A: Since you have posted a multi subparts question according to guidelines I will solve first three…

Q: For the next 3 problems - Find the equation of the line graphed, find a second equation so that the…

A: The graph of the first equation y=−x+6 is givenWe need to find a second equation such that it has…

Q: . Find the solution: dy dx sin x - sin y ey + x cos y y(1) = 1

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Q: Solve step by step in digital format Solve for Ricatti dy dx = -2-y + y² answer y =,2 + 1 ce-3x_…

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Q: Solve the following complex integral L 1 (x-ib) (x + ib) -eix(a-a') dx e²

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