In a dice game, you win if the two dice come up 11. Otherwise, you lose $5. What should be the profit for winning to make this game fair? (Give an exact answer. Use symbolic notation and fractions where needed.) profit for winning: S

Q: (b) ' A = (c) 3 5 0 -1 1 4 -1 6 1 (a) Find a lower triangular matrix L such that A = LU. Show your…

A: Inverse of a Lower (Upper) triangular matrix is Lower (Upper) triangular matrix.

Q: Let E be a subset of R". A point a € R" is called a cluster point of E if En B, (a) contains…

A: Let E be a subset of ℝn A point a∈ℝn is called a cluster point of E if E∩Bra contains infinitely…

Q: Minimize g = 11x + 10y + 12z subject to x + y + z 211 y + 2z2 8 X > 7.

A: Solution is given below:

Q: Question elementary 7: Are the following matrices linearly indepen- row operations)?? 4₁ = [13]. A1…

A: Solution:

Q: 2. Explain why the system f x' {y'. 9 1 + f² + g² 1 + f² + g² trajectories as x' = f(x, y). y' =…

A: The given system of differential equations is: x'=f1+f2+g2y'=g1+f2+g2 The objective of the question…

Q: A random sample for 11 exam scores produced the following (hours of study, grade) data values. Hours…

A: Hour StudiedX 2 10 8 1 7 5 9 5 6 10 2 Test GradeY 55 96 89 57 84 74 95 70 90 97 63

Q: Select the correct chart for the polynomial function f(x) = 3x2+9x³+4x-5. Select one: a. b. C. d.…

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Q: Problem 2. Let V = Span 3 5 3 (a) Find a basis for V and then find dim V. (b) Determine whether each…

A: V=Span143,253,396

Q: Use spherical coordinates to calculate the triple integral of 1 x² + y² + z² f(x, y, z) = over the…

A:

Q: (A) O (B) 18 D) 1 -1 Let A be a 9 x 9 matrix satisfying A = -AT. What is the value of a11 + a22+ a33…

A: Given , 'A'  be a 9×9 matrix satisfying A=-AT . Then the value of…

Q: Use the procedures developed in this chapter to find the general solution of the differential…

A:

Q: No hand written solution and no img  A square poster had 9 in. added to it's width and 2 in.…

A: Let's assume that the original length of the square poster is x inches. Then the original width is…

Q: and y = Let D be the solid region in the first octant between the cylinders z = = 1 - y³ 2x. Find…

A: D is the solid region in the first octane between the cylinder z=1-y3and y=2x

Q: its saying that D is wrong and so is fxi

A: Right endpoint method: The area under the curve f(x) on the interval [a, b], withn rectangles is…

Q: 1. (W) Do the following series converge or diverge? Find the sum of any convergent series. For (a)…

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Q: 5. f(x, y) = y(x² + y²)¯¹; y≥ ½⁄/1, x² + y² ≤ 1

A: The given region is y≥12, x2+y2≤1. The given function is f(x,y)=yx2+y2-1. To Sketch: The given…

Q: Write a number less than 900 that rounds to 900 when rounding to the nearest hundred. Wh

A: Any number between 851 to 899

Q: Show that if A has n linearly independent eigenvectors, then so does A¹.

A: We have to show if Ahas n Linearly independent eigenvector  then so does AT

Q: Convert the second order ODE x''=sin(2t)x'+4tx to a first order system of two equations. Use y for…

A: Given the second order differential equation  x'' = sin 2t x' + 4tx   --------(1)…

Q: 1 -1 0 0 0 0 0 0 0 1 0 0 000 000 100 010 00 1 (E1):col2 col₂+col₁ Bker (81) V2 (E2):col3+col3-col₁ 0…

A:

Q: How much money should be deposited today in an account that earns 7% compounded monthly so that it…

A:

Q: Rowan bought some vanilla and chocolate cupcakes in the ratio of 5:4. After Rowan’s classmates ate…

A: Given that Rowan bought some vanilla and chocolate cupcakes in the ratio of 5:4. After Rowan’s…

Q: f'(z) = lim Δz-10 f(z + Δz) – f(z) Δz

A:

Q: 1. A = 2 Question 4: Given that SIST -|-| Find A1017 and Justify your answer. 2. B = 3 Find Bn and…

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Q: At the time of her grandson's birth, a grandmother deposits $4000 in an account that pays 4%…

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Q: x + y = 14 x-y = 22 given system of equations and

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Q: Question 11: Find A-¹, using the determinant, if 4 3 9 41 A = then check your answer. Note: DON'T…

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Q: Find the value of N that will give an error less than .001 Ve EN 0 N (-1)" 2nn!

A:

Q: Approximate the following integrals using either the midpoint rule, trapezoidal rule, or Simpson's…

A: Given: ∫00.8e-x2 dx, n=4To find: The value of the given integral using Simpson's rule rounding up to…

Q: For the function below, determine each of the following. XA x - 30 (a) Find the critical values of…

A: Given Data: Let us consider the given data, gx=x4x-30

Q: Solve the following homogeneous (a) y" + 6y' + 8y = 0, (b) y" - 2y + 2y = 0, (c) y" - 2y + y = 0,…

A: Given that the homogeneous ODEssubject to the boundary conditions:    (a).   y''+6y'+8y=0, y(0)=1,…

Q: B\ Let G be a simple graph. Show that if G is not connected, then it's complement G is connected.

A: Let G be a simple graph.  Let G be not connected.  Now, we know that a graph is connected iff…

Q: Consider the Type II region D = {(x, y): 0 ≤ y ≤ 8 & ¹/3 ≤ x ≤ 2}. By realizing that D is also a y…

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Q: 1. Here is a graph of y = p(x), represented with a solid curve, and a set of data. Which…

A: Advance maths

Q: It is ok to have factorials and binomial coefficients in the answer. At SaladWorks, there are 6…

A:

Q: (A) 17 B) 13 7 (D) 10 4 6 28 Consider the matrix = 1 5 4. What is the sum of a13 + a32? 9]

A:

Q: inverse g(h)=log(h)

A: The given function is: gh=logh To Find:The inverse.

Q: Given: P1: (A V B) ⇒ (CAD) P2: (D V E) ⇒F C: A ⇒ F Prove that P1, P2 - C.

A: Given: P1: A∨B⇒C∧DP2: D∨E⇒FC: A⇒FTo prove: P1, P2├C

Q: 1. Triangle Inequality Let IF be a Pythagorean ordered field. Prove the triangle inequality in the…

A: Let F be a Pythagorean ordered field, and let A,B,C are three points in Π then, To Prove:  dist(A,…

Q: Shiva is trying to beat the samosa-eating record. The current record is 53.5 samosas in 12 minutes.…

A: Equation of best fit: The equation of a line of best fit is given by,                     y=mx+b…

Q: Given the following bases for R2, find P, the change of coordinates matrix from B to C. C+B 54 B=…

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Q: 2. 3.- P = Q = -2axt Bay -4a2 Baxt ay + Jaz 6ax-ay + 2az +202 1) Sketch k= R= - Baxt 5.) Determine H…

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Q: (d) X₁ = {(1,0), (0, 1), (1,1)} CR² (e) X5 = {(1,0,0), (0, 1,0), (1, 1, 1)} CR³ (f) X6 = {(1,0,0),…

A:

Q: Examine the graph to the right a. Determine whether the graph has an Euler path, an Euler circuit,…

A: We know that Euler path is a path in a graph that visits every edge exactly once. Euler Circuit is…

Q: Let q and 7 be the quotient and remainder, respectively, of 19 divided by 9. What is does q + r…

A: Given that q and r are the quotient and remainder respectively of 19 divided by 9. Since we can…

Q: One of the fastest times ever recorded for the 50 yard dash is 5.2 seconds. The following expression…

A: To convert the time of the 50 yard dash to miles per hour, you can use the following formula: Speed…

Q: True or False: If dn is a divergent series, then n=0 4 O True O False Σ n=0 1 dn must be a…

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Q: Exercise 7.3.2 Show that {a+bx+cx², a₁ +b₁x+c₁x², a₂ + b₂x+c²₂x²} is a basis of P₂ if and only if…

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Q: This year, Buffalo, New York had 45 inches of snow in January. Last year, Buffalo had 19 inches of…

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Q: 1. Given and f:x→y: X=(19,20,21,22,23,24,25}, let: y = f(x) = 5x-3 (0.15 0.8 1.0 0.8 0.5 0.11 19 20…

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