Use the table below to determine which decision should be made based on an optimistic decision maker. O d1 O d3 d2 Od2 or d4 Od1 or d4 Decision d1 d2 d3 d4 State of Nature s2 s1 10,000 15,000 20,000 11,000 -5,000 9,000 -5,000 -4,000 s3 15,000 10,000 10,000 15,000

Q: 9. Find the area between the cubic xy² = a³ and the lines y = a and x = 0. 10. Find the area bounded…

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Q: What is the y for each of the x’s

A: Given that :Suppose you have a job that pays $9.50 per hour and you work anywhere from 10 to 40…

Q: Pam is a Disc Jockey. Every week she buys 3 new albums to keep her collection current. She currently…

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Q: If y = f(x) = [3-√√2x + 4]. u(x) a) Identify the basic function b) Identify the transformation(s) c)…

A: Given,where is the unit step-function.N.B. As per policy, we are allowed to answer only first…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: (e) Using parts (a) and (b), show that the equation tan(3r) = √2r+1 has a unique solution on (0, 1).…

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Q: 3. Solve using the Laplace transform: (a) y"+y=03(t), y(0) = 0, y'(0) = 1. (b) y"=t04(t), y(0) = 0,…

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Q: Find the general solution of the given system. dx dt dy dt = x+y-z = бу =y-z (x(t), y(t), z(t)) =

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Q: Problem 3 matrices. Find an invertible matrix U such that UA = R is the REEF of A, for 11. Write the…

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Q: Differentiate the function y = -5eº + 7log1 O a. y'= -5eº + 7 O b. y' = 7log1 -5e⁰ O c. y' = 0

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Q: 4b. series Find the radius of convergence R and the interval of convergence I for the following…

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Q: For a 4×4 matrix whose top three rows are arbitrary and whose bottom row is (0, 0, 0, 1), show that…

A: Suppose our matrix is

Q: Let a 0 be such that r+h≤ b. Prove that there is 0 € (0, 1) such that: f(x+h)-f(x) h = f'(x+0h)…

A: Note: We will be solving part C as asked.The given function is .Let  be a fixed real number.Given…

Q: Let h be a differentiable function with a tangent line at x = TT. The equation of the tangent line…

A: We have to find the value of h(x) at x=0,π

Q: the Fourier series for f(x) - + 4) = f(x) for all x. 30, 0<x< 20, 2<x<

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Q: Let r(t) = x' (t) x₂ (t) 21(t) [-] x₂(t) If x (0) be a solution to the system of differential…

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Q: Let A be a 3 x 3 matrix with two pivot positions. Does the equation Ax = 0 have nontrivial…

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Q: Numerical Analysis Explain how to find the values of f(xi)

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Q: Following an exponential distribution, the average lifespan of a smartphone battery is 2.3 years.…

A: Expected Cost as calculated using R Code:- $190.5 set.seed(1)cost&lt;-rep(0,100)for (i in 1:100)…

Q: A solid is formed by rotating the region bounded by the curve y = e-6/2 and the x-axis between x = 0…

A: givena curve  solid is formed by rotating around the x-axisvolume of solid and having constant…

Q: i) Consider maximising the function f(x, y) = 2x + 3y subject to the simultaneous constraints x…

A: Since you have posted a multiple question according to guidelines I will solve first(i)  question…

Q: 3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the…

A: Consider the following

Q: es for a 12-min walk. His pedometer shows his speed, v(t), in miles per hour, for 1-min intervals.…

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Q: Your friend proposes a game: You flip a coin. If it’s heads, you win $1. If it’s tails, you lose $1.…

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Q: Solve the following differential equation without a calculator dy 3=2- -9y when t= 0, y = 4. dt

A: Given differential equation, And when  .

Q: using the image below answer the question

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Q: 3. Let G be a group. Recall that if x E G, we defined the conjugacy class of x in G, denoted by…

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Q: 19. A sphere of radius a is immersed in a liquid of constant density to a depth h (measured from the…

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Q: Write at least 5 problems in your home that relate in differential equations.

A: Cooling Coffee: As a hot cup of coffee sits on ourtable, it slowly cools down to room temperature.…

Q: Find a formula for the inverse function for q. Explain your reasoning using complete sentences and…

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Q: Find the maximum value of the function z = 3x + 5y subject to the following constraints. x≥3 y≥2…

A: Given ,Function z = 3x + 5y

Q: 3. Use the Fourier-Poisson formula to find the limit as t→ ∞ of the solution to the problem U₁ =…

A: The eigenvalue problem is

Q: 8. For part a, find the Laplace transform of f(t), for part b find the inverse Laplace transform for…

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Q: Which of the following converge? 8n ||. Σn=1 #7² n+1 1. Σn=1 n! 3n+1 2n=1 n(n²+1) O I, II, and III…

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Q: It's spaghetti night at Stacy's house. She has 1/2 of a cup of grated cheese to sprinkle equally…

A: The objective of this question is to find out how much cheese Stacy puts in each bowl of spaghetti…

Q: Which of the following is correct for f(n) = 4n²-Sn +3 a. f(n)-Q(n²), for c = 4 and n ≥ 2. b.…

A: Solution:Given that, f(n) = 4n2-5n+3.Now find the which of the following option is correct:

Q: 2. A tank containing 100 gallons of water initially has 10lbs of salt dissolved in it. A solution…

A: Before more salt is added to the tank at time t=0:The volume of brine V(0)=100 gal.The quantity of…

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: So the correct graph is given in option A.

Q: Sasha has a boat that has a speed of 12 km/h in still water. At what angle upstream should she head…

A: We have to find angle. We can use relative velocity concept for this.

Q: ying Theorem 3.7 (co= 데 1 [(s-4) (s-3).

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Q: Estimate the area under the graph of f(x)=x²-4x+8 over the interval [0, 5] using five approximating…

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Q: Differentiate the function y = -5° +7log1

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Q: What happens to this base function and why? a(x)= x2

A: The function a(x)=x2 is a basic quadratic function. In this function:- x is the input variable.- x2…

Q: 5. Find a general solution and plot the phase portrait for the following system: d dt X = 0 X.

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Q: Evaluate the given integral along the indicated contour C. So 6z dz, where C is z(t) = 3t³ + i(2t4 -…

A: We have Then

Q: Take the system Find a particular solution of the form *₁(t) = x₂ (t) = help (formulas) = v cos(4t)…

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Q: how do you know the amount of columns to add

A: The number of columns depends on the formula you are using for the final result.

Q: The diagram below will be used to answer ALL of the following questions: fix) 8 -7 -6 -5 4 3 2 -7 -6…

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Q: -1 3 -12 0 5 -2 -1 ^- |- Determine whether A is diagonalizable. late (4)10 If A is diagonalizable,…

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Q: A Ferris wheel has a diameter of 40 meters and rotates at a constant speed completing one full…

A: Starting at bottom,Cosine funtion is taken     ...(1)