a?u a?u = 4 at? -00 < x < 0 əx² u(x,0) = senx ,–-0 < x < 0 ди (x, 0) = 1, - 0 < x < 0 at

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: x1 = X2 = Solve the following initial value problem: d 15 4 4et ²-(4 15 ) ² + ( 16 ) = dt 64 -16et…

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Q: (15) Verify that is a particular solution of Show all work to receive full credit. Yp=-4x² y" - 3y'…

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Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: Find a solution of by iteration for f (x) = x³ + x – 1 = 0

A: Given function is f(x)=x3+x-1=0 So we can write x3+x-1=0⇒x(x2+1)=1⇒x=1x2+1 Let ϕ(x)=1x2+1 Since…

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: Solve each of the following equations for the indicated variable. (a) I= Prt for r (b) S= P(1 + rt)…

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Q: ea. Use n=1.5.

A: The circuit mall makes 95.28 rounds when compared to the best competition.

Q: Q2. Find the solution of the following cquations. i) 3(7 +5) - 27 ii) log, r - 2 - log, (a - 8)

A: Use logarithmic property:-

Q: The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA doesn't…

A: Given - The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA…

Q: Q/Solve the following initial - Value Problem: хе x ex³dx + (x³²-1) dy=0

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Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: (i) Find the solution set of the following equations: 2log, x- 3log, y =7 and log, x-21log, y = 4

A: Since you have asked the multiple question, we will solve the first question for you. if you want…

Q: Solve the initial value problem with a general Yo. Then determine the domains for your solutions.…

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Q: Given that C(x) = 5000+100x - 100/x  is the total cost in dollars of producing x machines, determine…

A: The cost function is Cx=5000+100x-100x.   Determine the total cost of producing 10 machines.…

Q: Find the particular solution of each of the following. 1. (2х - 3у +2)dx - (Зх + 4у-5); у(-3) %3D 4

A: We know that M(x, y) dx+N(x, y) dy=0……(1) is a differential equation. Equation (1) is exact if and…

Q: Problem Set: C 1. Solve the following: 2 3 (b 2 < 1 (c) (x - 3) < 1

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Q: Among the values of x for which V(x)=0V(x)=0, which are physically possible?

A: As per previous solution The volume of box

Q: Solve the initial value problem by the linear or separable method

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Q: 8. Solve algebraically for x:4 - v2x – 5 = 1

A: The value of x is 7.  I have attached the solution picture below :

Q: Consider the following problem; max f(x1 ,x2) = -xỉ – x} subject to (x1 – 1)³ > x3 b. Find the…

A: We need to find solution.

Q: Solve the following initial-value problem to find f: 12x4 - 16x, f(6) = 42

A: