1. If y3x1 = b and A is a 3 x 3 matrix of number such that: y'Ay (2a - b)² + (3a − c)² + (3b - 2c)² - a. Find the semidefinite matrix A.

Q: Find the area of the shaded portion of the circle below. Express answer as a whole number or…

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Q: olve the following quadratic equations ( use the quadratic formula) a) 4x² + 10x - 24=0 b) 6x² -…

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Q: If the largest of 89 consecutive integers is 327, what is the smallest?

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Q: 2. Calculate the mean for the data X: f: 5 3 8 4 12 6 15 5 20 3 24 2

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Q: The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the…

A: Given, The amount of foreign earnings kept overseas can be approximated by the function f(x) =…

Q: 4p 4s +3 Show that the polynomial x + x + 1 + x²r + 2 + x ²5 3 divisible by x³ + x² + x + 1, where…

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Q: 2. Sketch the vector v= -11-10-9-8-7 and the subspace W of R², W = Span{v} 2 4- -2 -1 y 10 9 8 9 5 3…

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Q: Solve the following linear programming problem. Maximize: z=11x+13y subject to: 5x+7y ≤ 35 11x+y≤35…

A: The given problem is to find the maximum solution for the given linear programming problem with…

Q: a. An open-topped rectangular container is to have a volume of 32 cubic meters. Find the dimensions…

A: a) An open-topped rectangular container is to have a volume of 32 cubic meters. We have to find the…

Q: Simplify the ff. expressions. If the expression is undefined, write "undefined" 7. (-4)½ 8. -81¼

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Q: The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van…

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Q: Q16. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

A: Weight of the minimum spanning tree using Kruskals Algorithm

Q: Which of the following graphs contain an Euler path? OA. K₁ B. C₂ OC. K5,7 OD. K₂,7 OE. P, E. K5…

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Q: 4 تها 24 H -2 -3 7 8 9 10 11 1 The graph above shows the base of an object. Compute the exact value…

A: Given: Cross sections are isosceles right triangles with their hypotenuse in the base. To find the…

Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

A: A graph is given which shows the base of an object. We have to compute the exact value of the volume…

Q: Locate the first positive root of f(x) = sin x + cos(1 + x²) - 1 where x is in radians. Use four…

A: Secant's method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations and…

Q: the accrued interest (in $) and the total proceeds (in $) of the bond sale. (Round your answers to…

A: Given company Face value=1000 Given company Given coupon rate =10.925% Given Market price=77.00…

Q: Find the present value of an ordinary annuity which has payments of $800 per year for 16 years at 9%…

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Q: Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck.…

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Q: A restaurant has a main location and a traveling food truck. The first matrix A shows the number of…

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Q: Show that the polynomial x 4p +x²q+1+xAr +2 4r + x4s + 3 is 3 divisible by x³ + x² + x + 1, where p,…

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 4, b) a sum not…

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Q: 8. The monthly income of 8 families is given below. Find GM. Family A Income (x100) 70 B 10 с 500 D…

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Q: A study determined that 4% of children under 18 years old lived with their father only. Find the…

A: we will solve the question using binomial distribution.

Q: If an earthquake measures 2.4 on the Richter Scale, what is the intensity of this earthquake,…

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Q: Find the final amount of money in an account if $4, 600 is deposited at 3% interest compounded…

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Q: A company has $7,730 available per month for advertising. Newspaper ads cost $120 each and can't run…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: 10. Find median of the following data Wages (in Rs) Number of workers 60-70 50-60 7 21 40-50 11…

A: The given data are

Q: Solve the system 30 - [33]4 7' = Solution: with 2(0) = [1] 2(1) - [16] + [16] " ² te³t

A: x→'=3043x→x→0=-41

Q: Leonhard Euler was able to calculate the exact sum of the p-series with p = 4: Use this fact to find…

A: Here we will use sum of given p series to find sum of indicated series  Note : I am doing 1st three…

Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. -20 1 3…

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Q: solve the initial value problem y" + 3y' + 2y = x^2

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Q: Use the inverse of the coefficient matrix to solve the system of equations. x + 4y + 3z = -7 x-6y4z…

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Q: A $108,000 trust is to be invested in bonds paying 7%, CDs paying 6%, and mortgages paying 10%. The…

A: Let x, y and z be the amount invested in bonds, CDs and mortgages respectively. We will construct a…

Q: Evaluate the given integral over the solid ellipsoid in uvw-space.) SSS 7|xyz/dxdydz D The value of…

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Q: Find the absolute maximum and absolute minimum values of ƒ(x, y) = (x−3)² + y² on the set D: {(x,y):…

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Q: Let C= {X, Y, Z, W} be a code where X = 00000, Y = 01101, Z = 10110, W = 11011 are its codewords.…

A: Given Data: Let us consider the given data, (1) dX,W =dY,Z (2) The distance of the codeword X to all…

Q: For each surface F(u, v), identify the shape of the grid curves when u is constant Some shapes may…

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Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F F(x,…

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Q: Find the payment necessary to amortize the following loan. $7100; 8.4% compounded semiannually; 24…

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Q: Evaluate the following A SALLE MORES RELIGIO CULTURA 2x² - 3x + 7 lim x→∞ x² + 47x + 1 Ilim ( x + ²)…

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Q: 4. A wire has the semicircular shape shown and has density function p(x, y) = x + 1. a) Symbolically…

A: Given: A mass density function ρx, y =x+1 is given. To Find: One has to construct a line integral…

Q: 4. Find combined mean from the following data ¯¯¯X₁ = 210 n₁=50 X₂ = 150 n₂ =100

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Q: When Is Simpson's Rule Exact? (a) Show that if f is a polynomial of degree 3 or lower, then…

A: Given: f is a polynomial of degree less than equal to 3. ∫08x3-6x2+4xdx To do: Show that for such…

Q: Ex 8) Fill in the blank and name the property. 8a) 4* = 4 8b) 5+ = 5 8c) 2 + (3+4)= (2+)+4 8d) 2 +…

A: Let ℝ be set of real numbers. Closure property of addition and multiplication states that if a, b∈ℝ…

Q: (a) In Z22, solve the equation x + 15 = 6. (b) In U(11), solve the equation 4.x = 2. (c) In D4,…

A: We now solve the group equation.

Q: (8) Given that f(x) = 2x+8 g(x) = 5x−2__ and h(x) = 2x + 6 4 X Find:- 1. hof(x) 2. h-¹(x) =

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Q: Let (6,-8) be an ordered pair on the terminal side of the angle in standard position. a. The ordered…

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Q: Problem 3 The power set of any set A is denoted by P (A) and is defined as the set of all subsets of…

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