Two six sided dice are rolled and the numbers are observed. What is the probability that the two dice show different numbers?

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Q: 1/3 2/3 Consider the Cobb-Douglas production function f(x, y) = 40x''°y²'°. Compute f(27, 125),…

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Q: Use the Binomial Theorem to expand the expression (3x + 2y?)°. Show your work.

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Q: 6. (a) Find a function u(x, y) that is harmonic in R2 and that equals f(0) = sin(30) + cos(40) on…

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Q: Write the expression below in the form (a + b)" 1296x'? – 4320x®y² + 5400xʻy* – 3000x'y + 625ys

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Q: Let zo E C, R> 0, and f : D(2o, R) → C be a holomorphic function whose only root is 2o. (a) Prove…

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Q: Write the expression below in the form (a + b)ª 1296x'? – 4320x®y² + 5400x*y* – 3000x'y + 625y

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Q: What is the surface area of the composite figure? Round to the nearest tenth. 14 ft 14 ft 6 ft 14 ft…

A: The total surface area of an object is the total  area that the surface of the object has occupied.…

Q: 3 27) The probability of an event happening is 5. This statement means that the event is likely to…

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Q: 7. (a) Use Newton's method ONCE with an initial guess of ro = 0.1 to find an approxi- mation to the…

A: Note:  Since we are not allowed to send handwritten solution, we have sent you the typed solution.…

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Q: Problem 8. Which of the following maps are contracting mappings? 1 (a) f(x) = 3x – 4; (B) f(m) =…

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Q: Question 25 of 25 Write an equivalent equation using polar coordinates. x= 4y The polar equation is…

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Q: Let (X,7) be a topological space and ACX. Show that (n) A is open if and only if Int(A) = A. (b) A…

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Q: 2. Suppose I wish to define a function g : {0, 1, 2, 3, 4} → Z that takes an input of an equivalence…

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Q: Write the uncoded row matrices for the message. Message: SELL CONSOLIDATED Row Matrix Size: 1 x 3 1…

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Q: The graph of a polynomial f(x) with integer zeros is shown in the figure to the right. Write its…

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: Find the differential equation of (y cos x + 2xe^y )dx + (sin x + x²e^y) dy =0

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Q: 1 Evaluate | Iz| = 12.0 (z – 10.0) (z2 + dz . 169) 2

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Q: length of the curve y = :

A: Introduction: The formula of the trapezoidal rule is given by, ∫ydx=h2y0+yn+2(y1+y2+...+yn-1)

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A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Solve Laplace's equation u 8²u dx² ™ dy² = 0, 0 0). Assume that u = 0 on the vertical surfaces at r…

A: Given the lapalace's equation ∂2u∂x2+∂2u∂y2=0                        (1) with u(0,y)=0 =u(π,y) Let…

Q: Use the Mean Value Theorem (MVT) to establish the following inequalities. (a) sin r- sin yl 0.

A: Introduction: The mean value theorem is an advanced and very important property that a…

Q: Find the solution. d3x d?x dx – 2–=0 dt + dt3 di2 -21 ® y = c,+c,e'+c,e- -31 D y = c,++ce+c,e-2

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Q: For the subspace below, find a basis 12a +24b - 4c 1 9a - 3b - 3c :a, b, c in R -6a +5b +2c -3a +b…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Using secant method, detemine a root of sin Vx - x with initial guesses xo = 0.5 and x, = 1…

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Q: 2. Find the differential equation for x(t) when [9x(t)? %3D Then, solve the differential equation…

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Q: 2. Given two non-parallel lines l: r= 2+t, y= 4+t, z = 8, and l2: 1= 3, y =2+t, z= 5+t, (a)…

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Q: curve generated by the parametric equations. Indicate with an arrow the direction in which the curve…

A: Given that x=2+√t, y = t²-4t, 0≤t≤5 We have to draw graph

Q: In each of Problems 1 through 13, either solve the given boundary value problem or else show that it…

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Q: Problem1 : For values x=[ 1:1:25] , plot y1= 2 x +1 and y2= x+ 0.5 1. Use different colors and line…

A: To plot: y1=2x+1 and y2=x+0.5 for values x=1:1:25   (1.) To use different colors and line shapes for…

Q: sider a triangle ABC like the or drawn to scale.) Solve the trian Fry your intermediate computatie

A: Introduction: The law of sines and cosines for the triangle with sides a,b,c and angles A,B,C is…

Q: Question 3. Create proofs to show the following. a) ¬A is provably equivalent to ¬(A ^ A). b) The…

A: To find- Create proofs to show the following: ¬A is provably equivalent to ¬A ∧ A.  The set R, S,…

Q: How many times do we need to iterate using NRM to find the root of the function f(x) = 4xe2* – 2 to…

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Q: 1. -ay + A sin dy 2 = Br, dt

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Q: ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E…

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Q: 7 Prove by induction, showing all of your algebra steps: (-1) + 4 + (-9) +.….. + (-1)"n² = (-1)°n(n…

A: 7 We have to prove that −1+4+−9+....+−1nn2=−1nnn+12 by principal of induction method. First check…

Q: - 2t 2. 4y" + y = e " sin (0.5t) + 6t cos (0.5 t)

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