U = 4u,, 0 0, u(0, t) = 1, u(T.t) = 1. t > 0, u(z,0) = 0, 0

Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as...

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Q: Find a particular solution to y" + 7y + 10y = -4te (-2/27 te (5t)+(5/243je(5t)

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Q: *. A 5 m pole, leaning against a wall slips in such a way that its base is vd moving away from the w...

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Q: solve it within 30-40 mins I'll give you multiple upvote

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Q: dr =-4rt; when t = 0, r = r, dt i. ii. xyy' =1+ y; when x = 2, y = 3 iii. y'=xexp(y-x ); when x= 0, ...

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: Which expression gives the remainder when P(x) = 4x^2 + 2x – 5 is divided by x - 2? P(5/4) O P(2) O ...

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Q: A- Find asymptotes for the following functions : (1) x2-1 2+x-x-3 (2) x2+ 2 x2-1

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Q: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7= 0 -7 1 -9

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Q: a. Consider the system of differential equations given by: Y1(0) Y2(0) -3 34 y, y = -1 where some in...

A: a) consider the differential equation y.=-334-1-αy , y10y20=-71 find the determinant A-λi=0⇒-3-λ34-1...

Q: The temperature T (in degree centigrade, "C) in a solid metal sphere is given by the function e-(a+y...

A: We have to choose correct options.

Q: 4n – 1

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Q: Given f(r) = (r + 1) - 4. Graph both f and its inverse, f, , on the same plane.

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Q: Find the equation of the surface of revolution generated by rotating the parabola y = z^2 around the...

A: A surface of revolution generated by rotating a curve described by y=f(z) around z-axis is given as ...

Q: The remainder after dividing (- 10x^3 + 5x^2 + K) and x-1 is 4. Which of the following is the value ...

A: We have to find value of k

Q: Consider the series E (In(2n + 1) – In(2n – 1)). n=1 (a) Let an = In(2n + 1) – In(2n – 1). Does {an}...

A: We have to check the given sequence and series is convergent or divergent.

Q: The function N satisfies the logistic differential equation dt N.), where N(0) = 105. Which of - 10 ...

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Q: 3. (a) Let ƒ(x)=| -3. (i) Find the zero of f(x). (ii) What is f(-5)? What point is on the graph of f...

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Q: i need the answer quickly

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Q: wo eigenvalue If n is equal

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) n ...

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Q: Please solve (a)

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Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well ...

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Q: 2xy y' 2 =x-2 x-4 4.

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Q: Use the cofactor expansion to compute | 10 -9 3 det -5 6 -7

A: to find the determinant by cofactor Choose a row or column of  matrix.  For each coefficient in you...

Q: Let F : R" → R™ and g : R" → R. Prove that d(gF)[a; h] = g(a)dF[a; h] + F(a)dg[a; h].

A: let the functions be  F:ℝn→ℝm , g:ℝn→ℝ prove that  dgFa;h=gadF[a;h]+F(a)dg[a;h]

Q: Using the Regula Falsi method, what is the approximate root (fifth iteration) of the function f(x) =...

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Q: 10. y'- (у -у?) соos x%3D0

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Q: x3 2.

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Q: {Vn - Vn +1}

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Q: Please give the answer with solution: Question 1. f(0) = 2, n = 0,1,2, ... f (n + 1) = f (n) + f (n)...

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Q: If v1, ..., V5 are in R' and v3 = 0, then {v, V2, V3, V4, V5} is linearly dependent. %3D

A: Definition used: v1, v2, ..., vk is linearly dependent if there exist numbers α1, α2, ..., αk, not a...

Q: a. Consider the system of differential equations given by: Yı(0) Y2(0) -3 34 y = where some initial ...

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Q: If during the last iteration of the simplex method, c- z equals zero for one or more of the non-basi...

A: If during the last iteration of the simplex method:

Q: Please use the graph to respond tot he following questions: Choose a graph then respond to t...

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Q: 124x1 + 245x2 + 35x3 + 24x4 = 24 %3| 356x + 24x2 + 35x3 + 75x4 = 2 %3D 24x1 + 56x2 + 35x3 + 67x4 = 4...

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Q: 12) Consider he algebraic extension E = bQ CVE, B, VF) of The field Q of rahionat numbers. Then (E :...

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Q: Show that -p → (q → r) and q → (p V r) are logically equivalent

A: We have to show that ¬p→(q→r) and q→(p∨r) are logically equivalent. To show logically equivalent let...

Q: Find the derivatives of the following functions (use derivate definition): iii) Vr + Va iv) senm x c...

A: We will use definition of derivative in these questions 

Q: *りこo y". マも~ も ズ Bychain Ru le y= dy dy dy dそ つ 与 ५। dy + り Jて き、より dそ dり dそ E dy +2り dそ I need to c...

A: Given: y''+exy=0   To write: The given equation as a differential equation of yz  

Q: Let a be a real number. Consider the series an Σ cos(n7); An, where An = 2n + 1 n=0 (a) Is it possib...

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Q: Part (a) Determine all values of h such that the matrix 5 -3 -1 1 2 3 -1 A = 1-2 2 5 1 3 h has eigen...

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Q: Consider the series > (In(2n + 1) In(2n - 1)). n=1 (a) Let a, = In(2n +1) – In(2n – 1). Does {a,} co...

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Q: Find the angle between the plane r+y-z=21 and the line r-13y+2%3D3-2z.

A: Angle between the plane and line

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x³ dx

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Q: 2) Obtain the Fourier series expansion of the below function, f(x) = {2(k – x), 0, 0 <x<n %3D n<x< 2...

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Q: 9. Let F : R" → R". Prove that for each a the mapping h→ dF[a; h] is linear on R".

A: Given: F:ℝn→ℝm   To prove: For each a, the mapping h↦dFa;h is linear on ℝn  

Q: cosQ -sinQ Rotation matrix on the plane (2n - 2). R = sinQ cosQ : : -W RWR' = w W = show me that the...

A: Given R is rotation matrix such  that R=cosQ-sinQsinQcosQ also there is matrix  w^=0-ww0 we have to ...

Q: an is an infinite Series with Partial Sum SN=7-2 Syppose that 16 and 5. an what are the values of S ...

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: Q3. i) Find the roots of the quadratic equation by using a QUADRATIC FORMULA and comment on the natu...

A: To find the  roots of the quadratic equation  ax2 + bx + c = 0, ...(1) [where a, b are the coefficie...