How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars must not be together? 10! 6!4! 10! 4! 10! – 7!4! 10! – 6!4! -

Q: movie club surveyed 200 high school students. The students were asked how nd whether they prefer…

A: Introduction: Calculating a percentage means determining a portion of a whole in terms of 100. A…

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Q: f"(t) = f(t), ƒ(1) = 0, f'(1) = 1. We also know |f(t)| and |f'(t)| are bounded above by 3+1 over the…

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Q: Which word has the most permutations of its letters? abbas aabbcc books bikes

A: To select the word which has the most permutations of its letters.

Q: Use the Mean Value Theorem (MVT) to establish the following inequalities. (a) sin r- sin yl 0.

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Q: Write the expression below in the form (a + b)" 1296x'? – 4320x®y² + 5400xʻy* – 3000x'y + 625ys

A: Pascal's triangle exaption of the algebraic equations

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Q: n to grow at a rate proportional to the amount present. After 60 minutes, 5,000 strands of the…

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Q: The boundary-value problem y" = 4(y- x), 0 sxs1, y(0) = 0. y(1) = 2, has the solution y(x) =…

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Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

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Q: Find the radius of convergence about r = -2 and interval of convergence of the series n2(x +2)" Зп +…

A: Given series is ∑n=1∞n2(x+2)n3n+1

Q: Find the solution. 4y'' - 9y = 0

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Q: udn + a ntuldr=o

A: We shall answer first question only as you have asked unrelated three different question. For others…

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: Prove that |(a, b)| = |(c, d)| for any numbers a, b, c, d where a <b and c< d. Proof: %3D Prove that…

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Q: In problems 1 to 3 solve the given differential equations by writing the general solution. Write all…

A: We can solve this by calculating complementary and particular solution We calculate particular…

Q: 6. Find a particular solution to the inhomogeneous equation y" – 9y' + 8y = e2* |D in the form y(x)…

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Q: In each of Problems 1 through 13, either solve the given boundary value problem or else show that it…

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Q: 2. Assume that you have performed Gauss-Jordan elimination on an augmented matrix and have come up…

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Q: Solve the following homogeneous differential equation via substitution (3x2+9xy+5y2)dx -…

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Q: Simplify as much as possible. 3 uV32v -4vy 50vu Assume that all variables represent positive real…

A: To simplify the given expression.

Q: Q3 Find 00 (i) -t sin(v3t ∞ e

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Q: We define an arithmetic sequence of functions: fn: [1,0) → R recursively as: fi(x) = Vx, Vx € [1, 0)…

A: Given fn:[1,∞)→ℝ recursively as: f1x=xfn+1x=x+fnx for all x∈[1,∞). (a). Let x∈[1,∞), therefore:…

Q: Evaluate the integral below using 2 point Gauss-quadrature and compare your results with the exact…

A: Given that, the integral is ∫15∫065y3+2x2+5dx dy. Note that, the formula for 2-point…

Q: 1. Calculate if possible: 1(1 4 -1)(1 4 -1 (e) (; (a) 4 + 2 1 (b) 0 -3 | 5 -8 6 0 5 -3 1 3 7 2 3 (d)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 2 +4 R(z) (z + 2 + 3i)(z – (5 – 5i))? Enter the poles of multiplicity one, separated by commas (e.g.…

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Q: a) Using the minimum sample size determination formula, find the minimum sample size needed if you…

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Q: 6. Recall that G is a two dimensional space equipped with the norm I| (1, x2) ||2= V#1|² + \x2/?.…

A: Given: An operator A on l22 space is defined as, Ax1, x2=x1+x2, x2 To prove: a) A is linear…

Q: (-1)" n (k) {n+ (m) {r E Q : r² < 4} (0) {x E R: x < 0} :n e N} n

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: A "sunburst" window above a doorway is constructed in the shape of the top half of an ellipse. The…

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Q: In Pascal's Triangle, which row sum of 33,554,432? Express as a single term in Pas Triangle in the…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 2. Find all solutions to the equation y" +y – 10y = 0. Hint: p(A) = X3 + A – 10 = (X – 2)X² + 2A +…

A: The solution of homogenous linear differential equation of constant coefficient is find by…

Q: sider a triangle ABC like the or drawn to scale.) Solve the trian Fry your intermediate computatie

A: Introduction: The law of sines and cosines for the triangle with sides a,b,c and angles A,B,C is…

Q: (1) Prove by simple induction that, for each integer n 2 1, 6"+1 – 6 6+ 62 + 6 . +.. + 6" =

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Q: V25, -9 -6- dx 3.

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Q: If det(A) = 0 which of the following is correct A. The homogenous linear system Ax = 0 has only the…

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Q: Both first partial derivatives of the function f(x,y) are zero at the given points. Use the…

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Q: Find an equation for the plane through the points (3, 5, 2), (–2,0, 2), (0, –1, –2). The plane is

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Q: Write the uncoded row matrices for the message. Message: SELL CONSOLIDATED Row Matrix Size: 1 x 3 1…

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Q: Find the value of zo so that dz = - 2ni . %3D = 9 (z – zo)(z – 15i)

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Q: Find a series that approximates the following, and give the radius of convergence. Show your work…

A: Note: Since we can solve at most 3 subparts in a question, we have solved the first three subparts.…

Q: Determine if the vectors vị = (1, –1,3, –1), v2 = (1, –-1, 4, 2), v3 = (1, –1,5, 7) are linearly…

A: We have to determined the vectors v1=(1, -1, 3, -1), v2=(1, -1, 4, 2), v3=(1, -1, 5, 7) are linearly…

Q: der the polar function r olar function at 0 2.

A: Introduction: The formula of the tangent line to curve y=f(x) at the point (a,b) is given by,…

Q: Find the Taylor series of In(r) about a for a > 0. Your answer should b sigma notation. You may use…

A: Introduction: Every infinitely continuous and differentiable function at a given point can be…

Q: Determine the equivalent effective interest rate of the 20% nominal interest compounding ona monthly…

A: Given, Nominal interest rate( i )=20% =0.2 n=12 ( i.e. monthly compounded in a year means 12…

Q: Question 20 of 25 13x Match the point in polar coordinates 2, 4 to the points A, B, C, or D.

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Q: Problem 4: Determine the splitting field of the polynomial (r² – 2)(x² – 3)(r² – 4) over Q. Find its…

A: Given,Polynomial : x2-2x2-3x2-4To find: 1) Splitting field of given polynomial                2)…