In​ 2005, there were 18,400 students at college​ A, with a projected enrollment increase of 1000 students per year. In the same​ year, there were 31,900 students at college​ B, with a projected enrollment decline of 1250 students per year. According to these​ projections, whe

Q: Solve the given differential equations: 1. 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

A:

Q: determine DFT for the sequence x(n) = [1,2,3,1]

A: Given: A sequence xn=1, 2, 3, 1. To find: Discrete Fourier transform of given sequence.

Q: Three curves have been drawn polar coordinate, circle, (r= 5), circle; (r=3 sin (0), use double…

A:

Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: To pay for his debt at 12% compounded semi-annually, Reyvan committed for 8 quarterly payments of…

A: Given compounding period = semi annual nominal interest rate = 12% payment period = quarterly total…

Q: i) ईसा N - 405 attaw -25 e tes

A:

Q: . Determine the value of a such that lim I--2 3x² + ax + a +3 x²+x-2 exists. Justify your answer.

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: ) Find the Laplace Transformations of the following functions L{e-t sin 3t+4e-t cos 3t}.

A:

Q: $=4+4

A: 4+4=8

Q: s) Solve the Boundary Value Problem v²u=0, 0<x<3, 0<y<3 u(0, y) = u(3, y) = 0, 0<y<3 u(x,0) = 0,…

A:

Q: Solve for the Maclaurin series expansion of ex and use the series to evaluate e0.77. What is the of…

A: Sol

Q: 3) This is the first part of a two-part problem. Let P = 7₁ (t) = [_(f cos(2t) (sin(2t)) 72(t) = 72…

A:

Q: 2x - sin 2 α -1,38=0

A: Given: 2α-sin2α-1.38=0 To find: Value of unknown α.

Q: Express in terms of "t" for the following parametric equation: da x = ln(t); y = = sin² (t) and…

A: Differential equation and it's solution

Q: Find and simplify the expression if f(x)=x²-11. f(4x) f(4x) = (Simplify your answer.)

A: Find and simplify the expression if f(x) = x² - 11. f(4x)

Q: A) Evaluate the following integral dx (x - 1)(x-2)(x-3)

A:

Q: Q/ Find the particular solution to the differential equation x ý = y + 3 cos² (2²) y (1) = 0

A:

Q: 2. 45° ::: ₂ Oe, -e (a) Find Te 1 Je (b) Find b in terms of e, components, i.e., b = bie₁ + b₂ ₂ +…

A: As per the question we are given a linear transformation (rotation about e1 axis) and we have to…

Q: -2+√1-x

A: This is the question from set and function.

Q: 12y 3p A) For the joint probability p(A.B)-5p 4y. Find P(A). P(B), P(A/B), and 13p 7pl P(B/A), if y…

A:

Q: Q2// Use Euler's method (with all details) to find approximate value of y when x = 3 of = 2y-2x²-3,…

A: The Given initial value problem is: dydx=2y-2x2-3, y(0)=2, h=0.3 To find: y(3) using Euler's…

Q: 1. Which of the following functions are in L¹? in L²? 1 a. sin x |x|3/2 b. (1+x²)-1/2 x²-1 d. 1 -…

A:

Q: 8. If f is bounded on [a, b] but L(f) ‡ U(f), then f is not Riemann integrable on [a, b].

A:

Q: Determine the ordinate of the centroid of the area bounded by the curve x^2 =8y and the line 2x-y=0

A: Given curves are x2=8y and 2x−y=0. We have to find the ordinate of the centroid of the area bounded…

Q: Classify the following differential equation: ex dy dx+3y=x²y a) Separable and not linear. b) Linear…

A:

Q: 3(e). If it is true that the line integral F. dr 0 for all closed curves C₁ show that the line…

A: Given: 3C.For all closed curves C, line integral ∮CF.dr=0 and line intergral over a non-closed curve…

Q: Given f(x) = 9+8x² + x¹, find the following: a. The galois group of f(x). b. The subfields of…

A:

Q: Find the Jacobian of the transformation. x = 4² + uv, y = 2uv² Need Help? Read It

A:

Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

A:

Q: If Nx - My = R, where R is a function depending only on the quantity z = xy, then the differential…

A:

Q: Q 1 Find all points in the first quadrant where r = 2sin(30) and = 1 intersect. r=2sin(30) +

A:

Q: My - N N If = Q, where is a function of x only, then the differential equation M+Ny = 0 has an…

A: The given differential equation is (9x2y+2xy+3y3)dx+(x2+y2)dy=0. To find: Integrating factor. To…

Q: (f) The gradient vector Vf at a point x = (₁, 22, 23, ₁) R¹ is given by af af af af V/=( 1 Or Or₂…

A: (i) Gradient of a scalar function f in R3 is given by…

Q: Find the volume of the composite solid. Keep your answer exact (using π) or round to the nearest…

A:

Q: 6. There is a number c in [1,4] such that the following integral holds: Le ex²dx = ec ² [ 2² x²dx.

A:

Q: hand written plz uchberger's Criterion, determine whether the following for the ideal they generate.…

A:

Q: Q. Show that (2) + ل ( ) + y , (4) y₂ + (1) Dy+ y = D

A:

Q: x = 3 (mod4) (6pow) g = x x = 8 (mod12)

A:

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: a) Find the solution of this initial value problem and describe its behaviour for large t. The…

A: This is the problem of Differential Equation.

Q: et B represent a Boolean algebra with operations + an

A: We have to prove that a,b∈B,a·b+a=a

Q: 3. Let f: R² → R. Suppose ƒ € C" with ƒ(1, 1) = 1 ; fi(1, 1) = a; f2(1, 1) = b. Let o(x) = f(x,…

A: Given that              f : ℝ2→ℝ  such that  f∈C' with f(1,1)=1;  f1(1,1)=a;  f2(1,1)=b.

Q: N₁-M, xM-yN has an integrating factor of the form Find an integrating factor and solve the given…

A:

Q: Q3: Solve the initial value problem by using Predictor method for two iterations: ý=y-x² +1, 0≤x≤2,…

A: Sol

Q: solve: fx" - 4x - 3y=et-6 5x+y + 4y = 8+ cst

A:

Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

A: To find the power series of coshx

Q: Find an integrating factor and solve the equation y dx + (8xy - e-8y) dy = 0. NOTE: Do not enter an…

A: The solution is given as

Q: Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into…

A: The given equation is                        x2∂2u∂x2+y2∂2u∂y2+x∂u∂x+y∂u∂y=0

Q: Find the Laplace Transformations of the following functions i. L{(sin t + cost)² - cos² 3t}…

A:

Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…