2x- 4y 2 16 What is the graph of the linear Inequality: x+5y < 20

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A: We need to use sum of geometric progression here  a+ar+ar2+ ...n th term =arn-1r-1

Q: A man sold half an egg more than half his eggs. He then sold half an egg more than half his…

A: We can solve this by given information

Q: Q6: Solve for matrix X in the matrix equation X- A" = 21, where I is a unit matrix with size 2 x 2…

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Q: • Draw the complement graph G Is G a bipartite graph? Why? Compute w(G), a(G)

A: This is a problem of Graph Theory.

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A: Let us solve the given Linear equations using Gaussian Elimination, Gauss- Jordan Elimination, LU…

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Q: Next, we must find the total distance traveled by the particle in the given time interval. This is…

A: To find the interval for which the velocity is negative and positive.

Q: Use "shortcut" formulas to find D[log10(arccos(2*sinh (x))]. Notes: Do NOT simplify your answer.…

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Q: Find the trace of the matrix A =

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Q: , Does there exist an 8 x 8 matrix A = (as) satisfying the following three conditions? (i) If i 2 j…

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Q: Consider the vector v = ( 5 1 -3) in R3. v belongs to Span{(2 -1 0), (1 2 -3)}. V | Select one: True…

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Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: I. Find the weighted mean price of three models of television sets sold. The number and price of…

A: Given:   Model       Number                  PriceA                       8                   10,000…

Q: f the sum of the co-efficients in the expansion of (a + b)" is 1024, then the greatest co-efficient…

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Q: Write a stochastic matrix corresponding to the transition diagram. 0.1 0.2 A B 0,4 The stochastic…

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Q: II. Find the weighted mean price of three models of television sets sold. The number and price of…

A: The weighted mean can be calculated as: Weighted mean = ∑i=1nwixi∑i=1nwi We have: Model Number wi…

Q: This answer is incorrect. :-(

A: Given that,r=6 ftR=12 fth=24 ftDensity of water=62.5 lb/ft3The work required tp pump the water out…

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Q: For the convex set C = {(z,9)+ 13 y.0 < 2.0 < y } (a) Which points are vertices of C? (52/9,35/9)…

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Q: Transform to normal form and solve (showing the details!) 41. uzz + 2uzy + Uyy = 0

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Q: 7,Prove the following fact: for any two positive integer a and b, gcd(2ª – 1, 2° – 1) = 29cd(a,b)–1.…

A: The question has a typo. It should be gcd(2^a -1, 2^b-1)=2^(gcd(a,b))-1. The -1 is not in the power.…

Q: Next question Construct a glide reflection of tiangle ABC using vector v and reection line L Choose…

A: In glide reflection, we need to shift our image in the direction of vector v and then reflect it…

Q: 2.5 For each of the following properties, give an example consisting of two subsets X, Y CR', both…

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Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x, y, ±) = In (æ) + =, In…

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Q: Find out all the relative minimum and maximum values, and saddle points of the function h defined by…

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Q: Show that the series 00 f)-Σε -" cos n *x n=0 is infinitely differentiable everywhere, but the…

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Q: Express the double integral in terms of a single integral with respect to r. Then use a calculator…

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Q: Use Rolle's Theorem and/or the Mean Value Theorem to prove that the function f(x) = 2x + sinx has no…

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Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler's method

Q: 1 2. Given the matrix A = -2 (a) Use the power series definition of the matrix exponential to…

A: Given a 2×2 matrix A = 100-2 . We have to solve two sub-parts :                    (a) Use the power…

Q: . Show that 1, x, x² are three particular integrals of x (x2 - 1) yı +

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Q: -5 2 -3 In R° let z = 3 X = x= -1 and y = 2 6. 4 . Write z as a linear combination of x and y.…

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Q: Duse the Euler Method method Solve the: Saytanrs tan x-Sinzt, yl0)=1 ,hz0.l 0.1

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Q: Consider the function f(x) = %3D x²+1 (a) Find the intercepts of the graph of f (if any). (b) Find…

A: Remark: The x-intercept is the point at which the graph crosses the x-axis. At this point, the…

Q: Consi der the lines : = 2 - y = z+1 and l2 : = y - 2 = 1. Determine a direction vectors for the…

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Q: ĐUse the Fuler method's solve the: y(0) =1 ,h=02

A: We will use the Euler's Formula  yn+1= yn + hf(xn, yn) . we will perform the iterations on it to…

Q: If the point density of the solid is determined by the function p(x, y, z) = 3x kg/m³ and if the…

A: To find the mass of the solid that is bounded by the below equations and has a density function of…

Q: Use Newton-Raphson method to solve the system х + у — 1 %3D 0 уз — х + 1%3 0 | with the starting…

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Q: Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal and vertical…

A: Solution

Q: Solve the system using either of the three direct methods 1. -2y +2z 3 2x – 3y – z = -7 -* + 3y – 3z…

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Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: (b) Let X be a space and A ,B are subsets of X such that ACB and A closed, B open, show that X is…

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Q: S,x = - x+e"(1 – x) (c) Determine the following w-limit sets of (1): (i) w({0}), (ii) w((0, 1)),…

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Q: (2k – 1)? 4. Consider the following function: -1- 2, -2<I<-1 f(z) = {1, -1<1<1 2-エ。 1<r<2. (i)…

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Q: Determine all intervals on which the following equation is normal: (x^2 – 1)y'" + 6y = e^x %3D

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Q: How much should you invest at 3.2% simple interest in order to earn $90 interest in 4 months?

A: The formula is I=Prt , Where I=interest earned, P=principal, r=rate of interest, t=time. Here, I=$90…

Q: 1. Suppose money flows continuously into a slot machine at a casino and grows at a rate given by…

A: Given that money flows continuously in a slot machine at a rate given by A'(t)=100 e0.1t where t is…

Q: 10 -12 A = -2 6 -8 has A = -2 as an eigenvalue with algebraic multiplicity 2, and A = 4 as an…

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Q: 3. Two n xn matrices A, B are called similar if there exists an invertible n x n matrix S such that…

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