If u = ex+₂y+azz, Show that d² u əx² + where a₁, a2, as are constants and a² + a² + a² = 1. J² u 8² u + = U. dy² Əz²

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Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: Given that a sample contains 100 bacteria.  Bacteria doubles its population in every 6 hours. To…

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Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

A: To find: the missing figure in the given sequence.

Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: 6-4 - Let X and Y be normed spaces and Z be a closed subspace of X. (a) Let F E BL(X,Y) and Z C…

A: See that this is a post with multiple questions, i.e., two or more unrelated questions. Here,…

Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂ = 1, and Fn+2= Fn+1 + Fn. - Fn =…

A: Introduction: In mathematics, a recurrence relation is a significant connection that expresses the…

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Q: 7. Prove that if G is a group of order 1045 and H€ Syl₁9 (G), K € Syl (G), then KG and HC Z(G).

A: 7) Let G be a group of order 1045 and H∈Syl19(G) , K∈Syl11(G).  To show: K⊲G and H⊆Z(G). As per…

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Q: Show that the Bernoulli number B₁ satisfies B₁ = (-1)" ( 2 + 2d²+1) Σ (mod 1) for any positive…

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: What are the two things we need to show to prove that need to show to prove that is a binary…

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Q: . Find the length of the curve defined by R(t) = (3t+1, 4t3/2, 4-3+2) from the point (1,0, 4) to…

A: Note : The length L of a curve r(t)→=(x(t) , y(t)  ,z(t) )  from t=a  , t=b is given by…

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Q: Section 3.5 1. For the linear system - (²) Y dY dt (a) find the general solution; and (b) find the…

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Q: 4] Solve the equation, and find the values of x and y. ex + ln y = 2 sin(x) + cos(y) = 1

A: Solution : Given equations are, ex+lny=2sin(x)+cos(y)=1 Solving above non linear equations by…

Q: Example 2.27. Apply iteration method to find the negative root of the equation x³ - 2x + 5 = 0…

A: Here, we need to use the Iterative method to find the solution of given equation.

Q: 4. Find the length of the curve defined by Ř(t) = (3t+1, 4t³/2, 4 – 3t²) from the point (1,0, 4) to…

A: Follow the steps.

Q: 8) lim(-) sinx-cosx 10) lim TU

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Q: Find the missing Value a. P = P 23, 000; r = 7.5% t= 3 1/4 years b. P = P 15, 500 I = P 3, 250 r = 8…

A: Her We use the formula  I = Prt/100  Where P = Pricnciple             r = rate in %            t =…

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Q: Find The Center of mass of the region bounded above by The Plane Z = Y, below by The xy-Plane and…

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Q: Evaluate D= 1 2 3 1 -2 -1 0 1 -2 0 -4 1 ÁNON 2 5 3 6 using the pivotal element method

A: The product of pivot elements is the determinant of matrix. To find pivot elements : 1.eliminate…

Q: Find the power series solution of y " + 7y ' + x2y = 0, with y(0) = 1, y '(0) = 1. Give the first…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: ddx(uv)=udvdx+vdudx ddxxn=nxn-1

Q: Q.1 Find Laplace Transform of the given functions: 1. f(t) = (0, 0≤t<T 1, ≤t<∞0 3. f(t) teat sin(bt)…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Draw the missing figure on the sequence below and provide solution/explanation: O O

A: given pattern

Q: = Sketch the graph of the function f(x)= 2x-3 x²-4 Support your graph by a table.

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it dou every 6 hours,…

A: The rate of growth of population is given by P=P0ert P=P0ert200=100er6200100=e6r2=e6rln 2 = 6r ln…

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Q: 1. The population data of the Philippines from 2015 to 2021 is given in the table below. Find the…

A: Let us consider that x is year and fx is population. So, the 1st divided difference formula will be,…

Q: جليلة Let I = [= 1,₂1] ISR interval w that I is negligible Set.

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Q: 4 The shaded region in Figure 3 is bounded by curve y=x+ and line y = 5. X y X=-1 y=x+- y=5 (1,5)…

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Q: Given the following set of discrete data: x 0.6 0.7 0.8 0.9 f(x) 1.0832 1.1972 1.3771 1.6487 Find…

A: It is a Numerical Analysis problem and let us approximate the  values of f'(0.8) and f"(0.8) correct…

Q: 2. The following is the historical data of inflation rates in the Philippines from 2011 to 2019.…

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Q: Comolex unmber analysis Solve the following complex numbers 1.)  sinh[ln(8 + j0)] + cosh(8ej0.785)

A: We have to solve the given complex number sinhln8+0j+cosh8ej0.785

Q: 4 (a) Write out the multiplication table for Z6. How many times does [0]6 appear in each row of the…

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Q: A shrimp farm in thailand starts with 3,000 shrimp. the natural growth rate of shrimp is 12% per…

A: Given that a shrimp farm in Thailand starts with 3,000 shrimp that is at t=0 we have yt=3000 where…

Q: -10₁ 30-0 = -2 8 5 6 9 5 -3 -21 2 -7 x2 1 2 X3 -3 4 -1 -7 4 Solve for the unknown values using…

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Q: In Exercises 1-3, find the solution of the given IVP. 1. +4- -5y=0 dt 2. 9(0) = 11, y'(0) = -7…

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Q: I. Find the area bounded by each of the following curves. Show your complete soluti your final…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A: We have to find the volume generated by revolving about x axis, the area bounded by the line 2x + 4y…

Q: The value of x for which the series A. 2<x<3 or 3<x< 4. B. 2<x<4. C. None of the choices in this…

A: Introduction: A series is a description of the operation of adding infinitely many quantities, one…