dy 1. Write down the formula for the general solution to + P(x)y = Q(x) , where y(a) is known. dx

Q: The set of North-East lattice paths start from (0,0), end at (n-k, n+k), and they do not go below…

A: Given below clear explanation

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z? =…

A: The function in the form f(x,y,z)=C is called a multivariable function. If z=g(x,y), then the…

Q: If all three perpendicular bisectors are drawn in the triangle below, where will they intersect? O…

A: If three perpendicular bisectors are drawn in the traingle  The three perpendicular bisectors of the…

Q: y = In (tan(x).3sec(x) + /sin (x³)

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Q: Q2. Solve the problem u = a²ux – u + x fu(0, t) = 0 lu(1,t) = 1 u(x, 0) = 0 P.D.E. 0 <x<1 0<t< 0…

A: Given the PDE (a) ut=α2uxx-u+x                      1 as α is an arbitrary constant, so we take it…

Q: The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either…

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Q: Use standard matrices of T and S to find the standard matrix of SoT, if possible S:R² → R², S(x,y) =…

A: We have a given that ,  S : ℝ2 → ℝ2  ,  Sx , y = 2x+y , x - 3y T : ℝ2 → ℝ2  ,  Tx , y = x - y , x +…

Q: In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: n+5 a. (xn) = п-5 n² b. (xn) = %3D п3+1

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Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

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Q: Let V = M2x2 with inner product (A, B) = trace(B" A). LetA= B 4 0. -2. Then (A, B) and ||B|| All…

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Q: 3. 4. Consider the matrix -2 4. (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of…

A: According to our guidelines we are supposed to answer only first three subparts.kindly repost other…

Q: For the angle e 5 and sin e > 0 12 tan e = find all trogonometric functions for the given angle.…

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

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Q: Question 6 7 0 0. Consider the matrix A = 0. 0. -5 State a basis for the eigensnace co

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Q: 21 There is a family that has two children. Suppose that girls and boys are equally likely, what is…

A: The probability of an event given A given event B is: PA/B=PA∩BPB Now, we have that event A is that…

Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

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Q: If W is a subspace, then ||projwv||² + ||v – projwv||2 = ||v|?.

A: Given W is a subspace of a vector space V. Now projWv denotes the projection of vector v onto the…

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: Suppose A is a 4 x 3 matrix, B is a 3 x 5 matrix, and C is a 4 x 5 matrix. Which of the following…

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Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

A: Given that a function f satisfies some properties   To Give: Equations of the two linear asymptotes…

Q: Use limits to determine all the linear asymptotes of 3r2 – 5 2r2 + x if r1. 1² + 2x – 3'

A: Given: f(x)=3x2-52x2+x,if x&lt;1x3x2+2x-3,if x≥1 To determine: All the linear asymptotes.

Q: 1. a) Identify the following equations as linear, quadratic or neither. i) y = -x? - 4x + 2 ii) y =…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: c) Determine a pattern for the value of the kth derivative of f(x) at x = 0. fl3) (0) = d) What is…

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Q: Problem 3: Consider a different matrix A: 1 A = Row vectors 1 1 -1 column vectors: a1 a2 аз (a) Find…

A: Given a matrix , A = 21011-1  . Also , given that the row vectors are r1→ = 210 and r2→ = 11-1 . The…

Q: If -18(x + 1) – 12(x + 1)² + 6(x + 1)3 if – 1< x < 0 if 0 < x < 1. S(x) = а+ bx + сx? + dx3 is a…

A: Given Sx=-18x+1-12x+12+6x+13if -1≤x&lt;0a+bx+cx2+dx3if 0≤x≤1

Q: Use polar coordinates to describe the region shown. y 10 5 -10 -5 10 5 -10 R = {(r, 8): 0 srs 3…

A: Here we will use some points and shape of given graph to decide which equation representing it .

Q: Determine the greatest common divisor of the polynomials X4 + X? + 1 and X + X³ + x² +1 in F[X],…

A: We want to find gcd of given polynomials

Q: Evaluate a ds, where C is the parabola i = (3t, 3t2), for – 1 <t < 1. Answer exactly or round to 2…

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Q: using f(x)=(3x)^2-5x-12, find f(-3)

A: Given    f(x) = (3x)^2 - 5x - 12 , then f(-3) = ?

Q: 3. a. If f(x) = cos? 0 – 2 sin 8,0 < e < 2n, find where f is increasing, decreasing, intervals of…

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Q: Check the answers by substituting the solution back in the equations. 3. Solve the following set of…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Write z=2-3i in polar form

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Q: 1 : : Evaluate F dS whereF = (r",y",) and S is the solid bounded by the ry plane and the elliptic…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s + 21

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Q: Let H = {β ∈ S5 : β(4) = 4}. Prove that H is a subgroup of S5. (Reminder: The group operation of S5…

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Q: Prove by contradiction that if 3x? 2 is irrational then r is irrational.

A: We have to show that x is irrational if 3x2-25 is irrational. We have to prove the statement by…

Q: n square un ces tis on t

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Q: Find L-1: 2+6s+8 g4+882+16

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Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

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Q: Determine whether or not the vector feld is conservative. If it is conservative. find a function…

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Q: Define f:R → R by f (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is…

A: Given, f:R→R by f(x)=5x if f(x) is rational and f(x)=x2+6 if x is irrational.To prove that f is…

Q: If Se)=S-18(x + 1) – 12(x + 1)² + 6(x + 1)³ if – 1< x < 0 if 0 < x < 1. а + bx + сx? + dx3 is a…

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Q: Use the list on the right to match a description and an equation with the graph. (1pt each) A. An…

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Q: Complex numbers 1. Which among the options in column A is equivalent to 2(a + bi)? 2. Which is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: dz (b) Determine the by using the Chain rule with the following information: ds z = cos (rªy^) – sin…

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Q: A box with square base and height t is measured with the same possible error of measurement.…

A: Below given clear explanation

Q: Argument 5: Premise: Premise: Conclusion: Argument Form? Argument 6: Premise: (C5 J) • (~P W)…

A: To find- Find the Argument Form?

Q: sin(20) = 6 cos(20) a) Find all solutions of the equation. 9 = 0.703+rtk2 b) Find the solutions in…

A: The given equation is sin2θ=6cos2θ. The trigonometry formula is sinθcosθ=tanθ. The value of tan-16…

Q: Determine the following function is differentiable F (z) = e¯²

A: Cauchy-Riemann Equations: The function fz=ux, y+i vx, y satisfies the Cauchy-Riemann equations if…