12. The class scores from a math quiz are as follows: 8, 6, 10, 5, 8, 6, 9, 7, 8, 10, 4, 5, 7, 8, 9, 8, 10, 5, 8, 7 Organize the data in a frequency table.

Q: {1,0,1,1,0,1,1,0,...}

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Q: Evaluate the integral 169 dx S 13 x(Inx) 4

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Q: Find the values of x20 and y 20 that maximize z = 10x + 12y, subject to each of the following sets…

A: Objective functions maximize z=10x+12y , subject to each of the following sets of constraints. a)…

Q: A tank contains 1,000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters…

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Q: 13-16 17-20 4. If the size of a histogram's intervals is decreased, and its scale remains the same,…

A: If the size of a histogram's intervals is decreased, and its scale remains the same then the height…

Q: Find the motion of the mass-spring system modeled by the ODE and initial conditions. y" + 2y' +82y =…

A: Given ODE is                  y'' + 2y' +82y = 67.8 cos6t ,               y0 = 2.38 ,   y'0 =1.16…

Q: let R be equipped with Euclidean topology and let y=(1.2) subset in R . determine the basis for (y ,…

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Q: Consider the solid elliptical rod bounded by the xy-plane, the plane z = ax +By+h through the point…

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Q: Matrix A has the dimensions 5 x 4 and Matrix B has the dimensions 5 x 1 What are the dimensions of…

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Q: 18. Label the graph below using the measurements of central tendency (mean, median and mode) Arriv…

A: This is clearly a positively skewed distribution. Hence we know that, Mean  >  Median  >  Mode…

Q: Evaluate the line integral, where C is the given curve. xyz² ds, C is the line segment from (-3, 4,…

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Q: Determine 1¹{F}. L F(s) = 2 6s +80s +226 2 (s-3) (s² + 10s +26) Click here to view the table of…

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Q: Solve the following linear system of equations using Jacobi iteration. 5 1 1 60-0 -1 6 1 X2 2 18…

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Q: Use geometry or symmetry, or both, to evaluate the double integral. 1 (Sax³ + 3by 5 + 5ax5 a² − x²…

A: We have to evaluate: ∫∫D5ax5+3by5+a2-x2dA, D=-a, a×-b, b.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

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Q: Hints: Find the general solution y(x) of the following ODE: dy (x + 1) + xy² = -y-y². dx Classify…

A: Given that the ordinary differential equation…

Q: Compute the determinants in Exercises 1-6 using cofactor expansion along the first row and along the…

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Q: y 24 22 20 y 18 16 14 12 24 22 20 18 16 14 12 bmit Answer 4 6 6 8 10 12 14 16 X 10 + 12 14 16 18 y…

A: Let given data can be drawn as below

Q: Find the area of the shaded region. r = 1 + cos 0 Ø r = 3 cos 0

A: The given problem is to find thr area of shaded region bounded by given curves. Region bounded by…

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Let  Mx,y = 3 + ex2   and    Nx,y = tan-1y + 3x2                 ⇒   ∂M∂y = 0   and…

Q: . (a) If g is a primitive root modulo 37, which of the numbers g², g³,..., gs are primitive roots…

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Q: 5. -6-5-4 -3-2 نها Z .. 6

A: Given Graph --

Q: A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation…

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Q: -ind three linearly independent solutions of the given third-order differential equation and vrite a…

A: Given a third order differential equation is z'''+4z''-16z'-64z=0   we need to find 3 linearly…

Q: 8 n=1 5n. (n!)² (2n)!. 4n

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Q: K- Find the point of intersection of the lines given below and then find the x=21+6, y=21+5, -84140…

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Q: A lion ate a sheep in 4 hours, a leopard ate a sheep in 5 hours, and a bear in 6. If one sheep is…

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Q: Find an orthogonal basis for the column space of the matrix to the right. ... 1 45 -1 -4 1 0 24 1 64…

A: (.)  Given matrix is ,         A =    1   4 5-1-4 1   0   2 4   1   6 4   1   6 8 (.) Gram Schmidt…

Q: T₁: Texas State University, 202 c. Let b = 21 X2 2x1 [C] ---- T₂: 12 a. Write matrices A and B such…

A: The given linear transformation are T1x1x2=2x1-x24x1 and T2x1x2x3=x1+bx2-3x33x1+x2+x3. Here b=2.…

Q: 1) a) Using the Cauchy Integral formula (or otherwise) compute the following integrals ez COSTIZ dz…

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Q: 4. For the Sturm-Liouville problem y" + xy = 0, y(0) = 0, y'(L) = 0 find the eigenvalues and…

A: Given a Strum-Liouville problem  y''+λy=0,  with y(0)=0 and y'(L)=0 We need to find eigenvalues and…

Q: 2) Given the data X f(x) Do the following: (a) Construct the divided difference table (b) Find the…

A: The given data is: (a) To Construct: The divided difference table. (b) To Find: Newton…

Q: A homogeneous second-order linear differential equation, two functions y₁ and y₂, and a pair of…

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Q: f(x, y) = (x² − 49)² – (y² – 9)² - A) f(0, 3) = 2401, local maximum; f(0, -3) = 2401, local maximum;…

A: The given function fx, y=x2-492-y2-92. To find the local minimum, local maximum, and saddle point.

Q: Using h= 1, compare the results from Trapezoidal, Midpoint and Simpson's for the following integral…

A: The integral of x^3 dx from 0 to 2 is given by:   ∫[0,2] x^3 dx = [1/4 x^4]_0^2 = 4   Using h = 1,…

Q: 19 Prove or give counterexample: If V₁, V₂, U are subspaces of V such that V₁ + U = V₂ + U, then V₁…

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Q: 19. A set of 8 numbers has a median of 19. If the numbers are arranged from largest to smallest,…

A: Given, a set has 8 number and has median 19. The numbers are arranged in descending order (largest…

Q: Solve the initial value problem below. 2y (3) + 4y'' = 0, y(0) = -1, y'(0) = 0, y''(0) = 1 y(x) =

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Q: e² √₁² (1-2)³ dz c is a simple, closed and positively oriented contour that does not pass through…

A: The given in the question is the function to integrate, which is (e^z)/(z(1-z)^3), and the contour C…

Q: Test the series below for convergence using the Ratio Test. n.5 1.5" n= The limit of the ratio test…

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Q: b) Using the Residure Theorem (or otherwise) compute the follo- wing integrals (all the curves are…

A: The Residue Theorem is a powerful tool in complex analysis that allows us to evaluate certain…

Q: 1. You conduct a survey asking students how many CDs they own. The results are shown in the…

A: In the given histogram, the vertical axis indicates the number of students and the horizontal axis…

Q: Solve the following systems of equations using the matrix method. Find eigenvalues and eigenvectors…

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Q: Question 4: Find the Jordan canonical form of the following matrix: 1 2 3] A=0 1 2 0 Question 5:…

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Q: Verify that the following first-order ODE belongs to the form of dx/dt = f(x/t). If so, solve it…

A: Verify that the given first-order ODE belongs to the form of dx/dt = f(x/t). If so, solve it using…

Q: Evaluate the following formula for p₁ - P2₂=0, p=0.127036, q=1-p, x₁ = 60, X₁ x₂ = 18, n₁ = 304, n₂…

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Q: 18 Find by elimination the rank of A and also the rank of AT: 4 0 5 2 10 A = 1 2 11 1 and A = 1 1 2…

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Q: In Exercises 45 and 46, use Theorem 4.6 to find all values of k for which A is invertible. 46. A =…

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Q: 3. The values of a period 2x function f(t) in one full period are given. Sketch several periods of…

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Q: Find the orthogonal complement of the subspace W = span{v₁, v2} where, V1 U₂ = 2

A: The given subspace W=spanv1, v2 Where v1=1201, v2=1032. We have to find the orthogonal complement of…