Rotated triangular plate The plate in Exercise 39 is revolved 180° about line AB so that part of the plate sticks out of the lake, as shown here. What force does the water exert on one face of the plate now? 3 ft A -4 ft- Surface level B Ji ft

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A: (a)Given that the tank has a total capacity of 100L. Initially, 10g of lactose is added in 20L of…

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Q: I need help with d ii)

A: d)(ii)f(z)=z+(3−i)2iz+2​Explanation:

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Q: (please note that these points are expressed in homogeneous coordinates). You want to uniformly…

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Q: 17. Find by separation of variables the ordinary differential equations following partial…

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Q: (10pts) Determine whether f is a function or not. Justify your answer. Recall, that R is the set of…

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Q: Consider the linear system Ax = b, where A = converge and give a solution to this system? 3 -1 0 2…

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Q: 5. Let A be an n x k matrix for some 1 ≤ k ≤n, with real entries. 5a. Show that nul(ATA) = nul(A).…

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Q: "Proof": Take any group of n cats, where n = 1, 2, ... We need to prove that all cats in this group…

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Q: Find the set the units of the integral domain Z [√5] = {a+b√-5: a, b € Z}.

A: Find the set of the units of the integral domain .

Q: 1. Given the plot of the function f(t) in one period, determine completely the Euler coefficients…

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Q: 5. Solve the following Bernoulli equation:xy' = y - xexy²

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Q: Consider the function given by f (x) = x². Determine the coefficient a of the linear interpolating…

A: We have, xTo find the coefficient a of the linear interpolation function .

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Q: Hi I need help with 4a) and c)

A: a) The power series with the specified properties is f(z) = Σ(n=0 to ∞) [(z - 3i)n/7n].b) The power…

Q: Y Suppose w = =+ where Y Z 5t, y = 2+ sin (4t), and z = 2 + cos (3t). x = e5t A) Use the chain rule…

A: By using chain rule, we will solve the given problem.

Q: Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y2-12Y + 53 s.t. X + 4Y ≤…

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Q: Mitch earns a salary of $35,000 per year as a manager in a call center. Calculate how much he earns…

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Q: Let D= {1, 2, 3} = C. Either define functions f: D → C with the following properties or assert that…

A: Given D = {1,2,3} = C.We have to define function f: D → C with the following properties or assert…

Q: 7. Obtain the amplitude, vertical shift, period, Dr. R. and function graph f(x) = -3 cos(2x + n)

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Q: 5. Determine the convergence or divergence of the following series 3 «Σ(+)" (6) Σ (57)" n=0 η

A: a) ∑n=0∞​(31+i​)n To determine the convergence or divergence of the series  ∑n=0∞​(31+i​)n, we can…

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Q: 5 Deancorp produces sausage by blending together beef head, pork chuck, mutton, and water. The cost…

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Q: Which 4-tuples a 0<a<b<c<d<6}. are int the relation {(a, b, c, d)|a, b, c, d are integers with

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Q: Prove that every odd prime except 5 divides some number of the form 111...11 k digits, all ones

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

Q: Suppose the relationship between Y and X is given by: Y =  -5 - 10X What is Y when X is -100?

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Q: (a) 4 L-2 (c) for X₁ 3 2-2 (b) 4 3 3 2-1 for X₂ [] -1 for X₁ 11 17 02 23 5 5 41 07-36x₂ 245 51 ³][*]…

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Q: 1 Reduce A and B to their triangular echelon forms U. Which variables are free? 2 4 2 [1 2 2 4 6]…

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Q: (d) Let h(x) = f(x³ +1). Find the closed form expression for (not an infinite series expression)…

A: As asked we shall solve only part d.

Q: 2. How does the function f(x) = e¹/2 demonstrate that the "single point exception" is needed in the…

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Q: The temperature at point (x.y) on a metal plate is T(x,y)= 196x² - 196xy + 49y². An ant on the plate…

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Q: Hint: Let P(n) be the statement Q(1), Q(2),..., Q(n) are true." Show that the complete induction ste…

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Q: H2. Write the linear system d = 5x + 4y |tx (1): d dy(t) = x+2y as a matrix equation and find the…

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Q: Suppose the expected value of X is 29; and the expected value of Y is 97. What is the expected value…

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