Solve PDE 1 = e=*t u. u̟ =e¯*t Xx k (o0) u(0,t) =0 u(L,t) = 0 u(x,0) = L -x?

Q: İn delta function ; δ(t-t0) =0 , t ≠t0 , integrate δ(t-t0) t=0 to t=infinity equals to 1. According ...

A: y''+4y=δ(t-π)-δ(t-2π)    y(0)=0 y'(0)=0

Q: Let x be a real number. Prove that there is a positive integer n such that the distance between nx a...

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Q: community. The average total income of all the households in the community was found to be 23,000 RO...

A: Considering the three methods of estimation,( Ratio,regression and difference), Regression estimati...

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM, o...

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations p...

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A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get ...

Q: Find the positive root of x -cos x = 0by iteration and regulafalsi method.

A: In the Regula Falsi method, we have to use this formula  x2 = x0 - f(x0) . (x1 - x0)( (f(x1) - f(x0)...

Q: A tree has the following adjacency matrix: 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0...

A: Let us name the vertices as A, B, C, D, E, F. G and H. The adjacency matrix can be represented as: ...

Q: Solve the following first order differential equations: Og²-cos (0) sin (0). g(1–02) dg i. g(0) = 2....

A: Since you have posted multi questions but according to guidelines we will solve first question for y...

Q: Question  Among  50 students in aclass ,26 got an A in the first examination and 21 got an A in the ...

A: Step:-1 Let U denotes number of students in class and U =50 P denotes number of students got A in fi...

Q: Q3: Find the dihedral angle between the plane ACD and CDB. C

A: PROCEDURE : Now consider the one division of grid as 1 cm draw given view . To find true length of ...

Q: During 2019 Searing, Inc. Made fourteen wells drills for oil with total costs of $42,000,000. The re...

A: consider the equation 

Q: Let T be the linear operator on R2 defined by T(x,y) = (-y,x) What is the matrix of T in the standar...

A: Consider T, a linear operator on ℝ2defined by T(x,y)=(−y,x)(i)B={e1, e2} is the standard basis for ℝ...

Q: break the system y'1 = 4y1 + y3 y'2 = -2y1 + y2 y'3 = -2y1 + y3 and search solving conditions that m...

A: Given system is y1'=4y1+y3 y2'=-2y1+y2 y3'=-2y1+y3 Rewriting the given system ddty1=4y1+0y2+y3 ddty2...

Q: Linear Algebra questions. Orthogonality

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Q: If U-f() where f is an arbitrary function and P-U,.Q-U, then which of the following relations is a P...

A: Given that : U=fxy Calculating P: P=Ux=f'xy1y ---->(1) Calculating Q: Q=Uy=f'xy.x.-1y2 ---->(2...

Q: Find the asymptotes of (x – y + 2)(2x – 3y + 4)(4x – 5y + 6) + 5x – 6y + 7 = 0. %3D

A: Given equation, x-y+22x-3y+44x-5y+6+5x-6y+7=0 Find the asymptotes of this equation.

Q: Consider all rectangles with an area of 200 m². Let x be the length of one side of the rectangle. a)...

A: (a)   Let x represents the length of the rectangle and y represents the width of the rectangle. Ther...

Q: show complete solutions

A: Given :-  The function fx = x2 -exx-2 To Determine :-  Plot the graph showing all the roots. The roo...

Q: 2 2 3

A: Find the indefinite integral: ∫2x3dx=2∫1x3dx=2∫x-3dx=2x-3+1-3+1+c=-1x2+C

Q: The transformation with matrix T, where T= 3 1 , maps the point (x, y) onto the point 4 3 (x', y'), ...

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Q: To Cool Auto pays commission based on the profit they make from the vehicle. They pay 21% when profi...

A: Given: Cool Auto pays commission based on the profit they make from the vehicle. They pay 21% when p...

Q: カーて A %3D 3.

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Q: P. State the range, period, amplitude, phase shift and equations of the asymptotes for each of the f...

A: a y=-3cos3x-π4-2 we will use the form acosbx-c+d to find the amplitude, period, phase shift and vert...

Q: 1. Evaluate the following limits lim x(/x+1-Vx) 2. Find f'(x) of each of the following functions (x)...

A: As per our guidelines we need to solve only one questions and please repost it as other questions.

Q: For the following integral: xe dx 1. Use the two-point Gauss quadrature approach to estimate the int...

A: The given integral is :∫03xexdx The two point formula for gaussian approach is given by: ∫abfxdx≈c1f...

Q: The instantaneous flow rate of kerosene flowing through a pipe in 1000 kg/h is reported to be as f...

A: Given: Time 0 15 30 45 60 75 90 105 120 Flow rate (yi) 2.7 2.1 1.8 1.8 2 2.3 2.6 3 3.6 Here ...

Q: Solve part c only

A: c) Given that X is a Banach space and Y is a closed subspace of x. Let π: X→X/Y be canonical quotien...

Q: Let x be a real number. Prove that there is a positive integer n such that the distance between nx a...

A: As x∈ℝ and n be a positive integer. Let a be the nearest integer of x so we have to show the existen...

Q: What are all of the factors of the numerator? *

A: Given the fraction 515. Find the factors of the numerator.  

Q: Find the general solution of the following differential equation with the condition y(1) = 0 and y'(...

A: Given : The differential equation: x2+1d2ydx2-2dydx+2y=1With condition y(1)=0 and y'(1)=0

Q: For y' = y, and y(0) = 1, %3D Use the Series Solution to solve it.

A: Given : y'=y, y0=1 ⇒y'-y=0       1 Let y=∑n=0∞anxn ⇒y'=∑nn=1∞anxn Shifting its index by 1, we get  y...

Q: Question Help Space Exploration Two rovers are exploring a planet. The system of equations below sho...

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Q: Help me fast.....

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Q: : Let x: IR² → R° be the function given by x(u, v) = (u cos v,u sin v , 2 ,bv) 1. Check whether x is...

A: Given that : x : R2 -> R3 The function is given by x(u,v) = ( u cos v , u sin v, bv ) Explanation...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.