valus

Q: 12. r + yy = 1, y(3) = 4 %3D

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Q: You are measuring an irregularly shaped object. The initial volume of water in your beaker is 350 mL...

A: Volume is the quantity or amount of substance a solid can hold. In other words volume is the quantit...

Q: 3/2 6x sin (x-sin x)' Evaluate: +3x dx. X-sin x

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Q: Consider the least squares problem Ar b, with 2 A = 3 -6 b = 5 4 First, observe a condensed SVD for ...

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Q: 4. Write the set in the form (x P(x)}, where P(x) is a property that describes the elements of the s...

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Q: a) Which of the following set of vectors span R?? Which are linearly independent? Which form a asis ...

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Q: Let x be a real number. Prove the following statement: for each e > 0, there exists a rational numbe...

A: Given  that x be a real number. And we have to prove the following statement: for each ε>0, there...

Q: d²x d²y 9. x- dt² C1. Y at² di 10. L+ Ri = E. dt

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Q: The integrating factor that transforms the differential equation 3y" – 6y' + Axy = 0 , into a Sturm-...

A: The differential equation of the form, A(x)d2ydx2+B(x)dydx+C(x)y=0 can be transformed into a Sturm-L...

Q: Samson, Inc. has a total assets turnover of 0.96, a profit margin of 13 percent, and a debt ratio of...

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Q: Suppose that a, b, c, and d are constants such that ad- be # 0, and let m and n be arbitrary real mu...

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Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do so...

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Q: 4. Solve (D² -1)y=(x² +2x² + x +6)e²* using differential operators method.

A: Given D2-1y=x3+2x2+x+6e2x

Q: 10) Use Lagrange coefficient polynomial L3,2(x) to find L3,2(5) using the nodes Xo = 3,x1 = 4, x2 = ...

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Q: let g be a function whose derivative g' is continues and has the graph shown above. y = g'(x) -101 2...

A: Consider a differentiable function. The maximum and minimum of that function occurs at the point whe...

Q: Write the standard form of the equation and the general form of the equation of the circle with radi...

A: The equation of a circle in general form can be written as x2+y2+2gx+2fy+c=0 .

Q: The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 ...

A: We consider y(0)=0, from the given answer there is no option such that y(0)=1.

Q: Problem 1 Show using induction that the following properties hold: to) VNEN, 6n-1 is a multiple of 5...

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Q: solve the given initial-value problem dy 9. +у %3 cos 2r, у(0) — 5 y(0) = 5 dt

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Q: Find a vector equation for the line through the point Pla,-1,0,3) that is orthogonl t the hyperplane...

A: Suppose a line passing through the fixed point with position vector a and parallel to vector b then ...

Q: Advanced Math Question

A: Use the following formulae, to prove the required result. Area of Square=Side of the Square2Area of ...

Q: Q 6. Solve the following primal LPP and its dual by simplex method : Max. Z, = 5x1 + 12x2 + 4x3 , su...

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Q: Below the roots of simultaneous nonlinear equations x-2 and y=-2 can you find it using the Newton- R...

A: Given functions are u(x, y)=5-3x+2xy            (1)v(x,y)=2+y-x2                  (2) let initial so...

Q: ii) x*(1-y³)dx+y(1+x³)dy=0

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: п(n+1) VneN E 2 1 VnEN Li=1 i(i+1) n i(i +1)n+1 1-rn+1 Let r e R41 (r is real, not equal 1). Prove t...

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Q: x2+3 Determine all asymptotes of f (x) = x+4

A: (5) Given function is fx=x2+3x+4. We have to find the all asymptotes of fx=x2+3x+4. Property for rat...

Q: Use polynomial fitting to find a closed formula for the sequence (@n)n e N: -2, -1,4,13,26, ...

A: Given the sequence  -2,-1,4,13,26,........ Using polynomial fitting to find the closed formula for t...

Q: Given the set of ordered pairs.(0,6)(1,5)(2,4)(3,3)(4,2)(5,1)(6,0) illustrate this using different r...

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Q: r∧¬(¬p→¬r) ≡ ¬p∧r

A: We have to solve given problem:

Q: 3. Use elementary operations to solve the following linear system: -271 + 272 + 312 + 471 + 212 + I3...

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Q: Roadway 177 ruts in the sod (Ditch) QI: If 9 = 23 degrees, what is the distance of the ruts in the s...

A: Note the trigonometric ratio and pythagorous formula : cos θ=Adjacent side to θHypotenuse  . Pythag...

Q: A loan of $13,500 is made at an effective interest rate of 8.5%. Payments are made at the end of eac...

A: The loan amount, interest and the final payment are given. At n=0, I=13500 to be repaid in n-periods...

Q: b P+Q= (37) [d (1– B) – e (A+C+D)]' vhere d (1– B) - e (A+C+D) > 0, |

A: Using equation 35 and 36 

Q: Find the term to term rules for the following sequences a) 28, 25, 22, 19, 16 b) 2, 6, 18, 54, 162

A: For the Arithmetic Progression (AP) a, a+d, a+2d, a+3d, ............. the formula for nth term an is...

Q: Disprove each statement below using a counterexample in a single sentence only. 1.) Our country is ...

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Q: The Fourier coefficients of the f(x) and g(x) functions that can be expanded into the Fourier series...

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Q: The record showed that the number of students’ enrolment in a college is increasing by 5% per year. ...

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Q: y = +c÷; xy/ + y =r²

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Q: minimize I=y+1a +% subject to 2.

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Q: Consider the sequence n²r(1 – nx) x€ (0, 1/n] =: (x)"f elsewhere . Show it converges uniformly on [a...

A: Consider the sequence  fnx=n2x1-nx      ,x∈0,1n0                       ,elsewhere The limit function...

Q: Solve the differential equation if possible, using an integrating factor if necessary. 7. (3ry+6y)dr...

A: We will find out the required general solution for given differential equation.

Q: For atims (3) to (8) refer to the À = x2i + (2x"-y)j - yzk and = 3x²y + y² z? followning = X? %3D (3...

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Q: If f is continuous and periodic on R, prove that f uniformly contiuous on R.

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Q: Problem 3. Lel p be a prime number and a, b positive integers such that p|(a-b). Show that pla or p ...

A: Given that p be a prime number and a,b are positive integers such that  p|a.b  .  

Q: Use the table to write the given lonic 1 10 1 100 Greek numeral as a Hindu-Arabic 2 B 3 Y 20 200 num...

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Q: a) f(t) = t² + 6t – 3 - 3 b) f(t) = e'sen ht

A: To calculate the Laplace transformation of the below functions. a  ft=t2+6t−3b  ft=etsinht

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +...

A: Given   

Q: Find the extremal for -T | (2? + 2ri + 2r?) dt when r(0) = 1 and T = 2 (i.e. r(2) free). %3D

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Q: Q:Let f(x)= tan" 2x+1 log, (x+x+1) +(b-Sb+3)x+c. If f (x) is a -1 V3 decreasing function of x for al...

A: Given function is f(x)=23tan-2x+13-logx2+x+1+(b2-5b+3)+c           (1) f(x) is the decreasing functi...

Q: Consider the wave equation 0 0, Ur (0, t) = 0, Ur (3, t) = 0, t > 0, u (x, 0) = f (x) , ut (x, 0) =...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.