Determine fy (y3 +3y) dy 3 4. 1Y +3y+ C 4 11 11 3 11 y +y +C 11 11 .4 3 3 3. IL D Boş bırak 2.

Q: x€ (0,+) defined in the range dx +6 -+9y= of the differential equation; dx a) Write the type and ran...

A: Step:-1 Given that  d2ydx2+6dydx+9y=e-3xx2+1x2 Part (a):- Order:- 2, Rank = 1 Type:- Non Homogeneous...

Q: What is Sierpinski Space? Also give example

A: Sierpinski Space is  a topological space. Now to define a topological space we have to define a topo...

Q: Ben had 5 times as many marbles as Caleb at first. After Ben gave away 87 marbles and Caleb won 13 m...

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic oper...

Q: 1. THE SUN IS SHINING TODAY. THE SUN SHONE YESTERDAY. THEREFORE, THE SUN WILL SHINE TOMORROW. 2. THE...

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Q: 3 och y och får dět 10. En ingenjor loser en icke-linjar DE med begynnelsevilikoren y(0) när uttryck...

A: Given,                    y(x)=lna∫exdxand initial condition:                    y(0)=3,      y'(0)=...

Q: Finding Slope From a Graph Find the slope of each line. 2) 1) 3) 5) 6) Ay 7)

A: The slope of a graph represents the rate of change of the output with respect to the change in input...

Q: Problem 33. Suppose U is the subspace of R“ defined by U = span((1, 2, 3, –4), (–5, 4, 3, 2)). Find ...

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Q: A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. Assuming you sta...

A: A dirty bowl on your counter starts to grow bacteria that doubles every 10 minutes. Assuming you sta...

Q: L() t u(t-2) e31 O e-6-2s (s+3} 1 - s+3 e-2s-6 (s+3} e-2s (s+3} O e-25 1 2 + (s+39 s+3 O e6-2s (s+3}...

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Q: Write down the vector equations of the tangent lines to the traces for /(r, 3) = re-y² at (2,0) for ...

A: To write the vector equation of the tangent line for the below function to the trace y=0. fx,y=xe2x−...

Q: 2) Use truth tables to show that --p=p (the double negation law) is valid. 3) Use truth tables to sh...

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Q: Factor the expression completely. 54 + 45x

A: To factor the below expression completely. 54+45x

Q: xeR defined as u(x) and v(x) differential equation provided by the functions ´u'(x)+v'(x)– 2u(x)– v(...

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To ge...

Q: A bead is made from material with constant density 6 grams per cubic millimeter by drilling a cylind...

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Q: 3n Given that the series converges where P> which of the following is true (3n +1 O a The integral !...

A: given series ∑n=8∞3n3n2+1p converges, when p>12 according to integral test  ∑n=N∞fn is convergent...

Q: Solve the initial value problem. X' = AX, X(0) = | ,where A = 10 -3 -2 sin 2t + 2 cos 2t A. X(t) = e...

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Q: Express xo - 9x9 + 2x + 3x -1 in big-O notation.

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Q: SEP Engage in Argument In much of the world, Sl units are used in everyday life and not just in scie...

A: Definition: The International System Of Units (SI) is the metric system that is used universally as ...

Q: Consider the following problem: dT -a(T-T), where a=2*1012, at T(0)=4500, T,=200, find T(6), using o...

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Q: Z2 O S3 = OZ2 O Z6 A4 D6 Z12 None of them

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Q: 2. a) Using Laplace transforms, solve the following first order ordinary differential equation - 2y ...

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Q: Consider the function f(x, y) = x²y+ y³ – 75y. f has a minimum |at (-5/3, 0). f has a maximum a mini...

A: First we will find the critical points using the gradient then using the hessian matrix we will dete...

Q: Write the homogeneous part of the differential equation system, namely f (x) = g(x) = 0 obtained fro...

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Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9...

A: We can solve this 

Q: Let a(t), 2 < t< 8 be a positive function. Also, let the function 8(t) be defined as a'(t)/a(t) on t...

A: We will find out the required expression.

Q: Find the critical point of the function f(x, y) = 9x 3y- - In(\r+ y|). c = || Use the Second Derivat...

A: Let f(x,y) be any function of two independent variables x and y supposed to be continuous for all va...

Q: ) The electric power company is conducting a research to investigate if the monthly power consumptio...

A: The electric power company is conducting a research to investigate if the monthly power consumption ...

Q: rsind Prove that the function U(r, 0) = tan-1 harmonic inside the circle |z| 1. 1(), 0<r<1,0 s0<2m i...

A: Hi! As per the norms, we will be solving only the first question. If you need an answer to others th...

Q: Andy had 4/5 as many marbles as Tom. Andy then gave 5/8 of his marbles to Tom. Tom then had 204 more...

A: First we will form equations corresponding to given statements and then solving those equation will ...

Q: Solve the initial-value problem y" + xy' + y = 0, y(0) = 0, y'(0) = 1 in the form of a power series ...

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Q: The third iteration, when the positive x-intercept of y=f(x) is approximated via the Interval Halvin...

A: The root of a function can be calculated using a numerical method. The value of the function is calc...

Q: Prove that Σ", (2i-1)-. .

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Find the following limit Snk2020 k%3D1 lim n2021 10 B 2020 C 2021 D1/2021 AO

A: We have to solve given problem: We have to solve given problem:

Q: 2. Let II be the plane given by the equation x+ 2yi+32 = 0. (A) Determine the orthogonal projection ...

A: We will find out the required equation of line.

Q: Soru : x> 0 olmak üzere tanımlı olan u(x) ve v(x) fonksiyonlarının sağladığı diferansiyel denklem ta...

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Q: Using Boolean algebra techniques, simplify this expression: F%3DAB + A(B + C) + B(В + C)

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Q: 4. Låt E = {ei, e2, e3} vara standardbasen till R3 och T : R³ → R3 en linjär avbildning sådan att T(...

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Q: James had a box of pens. He removed 1/6 of the pens and then replaced 4 pens. Next, he removed 1/4 o...

A: First we will form the equations corresponding to the given statements then solving the equations wi...

Q: The differential equation provided by the functions u(x) and v(x) defined as xE R u'(x) +v'(x)– 2u(x...

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Q: A small machine shop has one drilling and five milling machines, which are to be used to produce a f...

A: We will solve this by the help of linear programming problems

Q: Soru 1: d²y ²+1 dy +6+9y = e* dx xe(0,+0)a -3x dx?

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Q: Alex invests $1,000 in his company's stock. After a year, the value of Alex's stock has increased to...

A: Given that Alex invests $1,000 in his company's stock. After a year, the value of Alex's stock has i...

Q: Determine f '(x) from the first principles if f (x) = -2 -3x

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Q: In the sequence    20,202,2020,20202,202020   each subsequent number is obtained by adding the digit...

A: given sequence  20,202,2020,20202,202020,.... we will divide the element of sequence into 4 groups I...

Q: Apply Gaussian Elimination method for Elementary Transformation to solve the following system of equ...

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Q: ind the total area between r=4sin(θ) and r=7sin(4θ).

A: Double integral is used to integrate the function of two variable over two-dimensional region. Doubl...

Q: 2+ A, BE Mace) such That Ais normal and Hermi tian .Prove Th at ABII 11B All is

A: Normal matrix: A matrix A∈Mnℂ is said to be normal if AA*=A*A, where A* denote adjoint of a matrix A...

Q: The profit function for a firm's commodity is f (x) = -2x2 + 1200x – 100 000, where x is the quantit...

A: Follow the steps below to obtain the root using fixed-point iteration method. Express the function,...

Q: d) Steve will work at a computer company this summer. Therefore, this summer Steve will work at a co...

A: (d). Steve will work at a computer company this summer. Therefore, this summer Steve will work at a ...

Q: The initial value problem y" + 5y" - 8y' - 12y = -48, y(0) = 8, y'(0) = 29, y"(0) = -83 is given. If...

A: The solution is given as