5. y = tan-¹tan x] ab 6. f(x) = x² cos-¹¹-√x²-1 7. f(x) = tan ¹(sin² (2x)) 8. y = (cot ¹(sin¹(x))³

Q: (b) for 3-3x³ dx

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Q: (-) 2 _x(n) =| n [u(n)—u(n–10)]

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Q: Solve Problem 2.33 on page 48 found attached.

A: As per our guidelines  we are supposed to answer  only one question. Here 2.33 answered.

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Q: 7/ Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

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Q: Q2. Consider the coupled first-order nonlinear differential equation du dt dv = t³(u + v) dt Where…

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Q: @ F₁ { f ² (x)} = √ ² Pf60) - P² Fs {f(x)} Fs proof: How.

A: It is Fourier sine transformation

Q: 2) F₁ / of (x,y) | = - pfe (psy) proof. (H-w-) If f (x,y) → o as as x→∞, then o

A: Introduction: The Fourier sine and cosine transforms are versions of the Fourier transform that…

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Q: show that If an > 0, n = 1, 2,. .... In+1 In+1 lim inf 14x <lim inf n ≤ lim sup Van ≤ lim sup nx In…

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Q: Find the maximum and minimum values of x^2 + y^2 − 2x − 2y on the disk of radius √ 8 centered at the…

A: Given function is  fx,y=x2+y2-2x-2y where bounded region is  x2+y2≤8.

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Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: If Z₁ = -10 + 5i and Z₂ = 16-8i, determine the following: 7₁% in rectangular form. COMPLETE THE…

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Q: Activity 4: Let's do this Logistic Growth dy Let y = f(t) be the size of a certain population at…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: (ylny − e¯xy)dx + ( + xlny) dy - = 0

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Q: 2. 2y dx - x dy = 0

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Q: y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: 6. Let f(n)= o(n)/n. (a) Show that if p is prime, then f(p) = f(p). (b) Find all n such that f(n) =…

A: Introduction: Euler's Totient function is a mathematical multiplicative function that counts the…

Q: ) Solve by using Laplace transform the partial differential equation 8²y 90¹y at² y(0,t) = 0, y(2,t)…

A: Solution

Q: 4. What are the various applications of the dot product? Explain how the dot product is used to…

A: We will use the basic knowledge from vector calculus to answer this question correctly and…

Q: Use Laplace transform to solve the partial differential equation: d²u du = t> 0, 0<x<1, u(x,0) = sin…

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Q: Can the graph G be orientable ? G:

A: We say that a connected graph is orientable if and only if every edge belongs to a cycle. We see…

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Q: 2. A vehicle starts from rest and its velocity is 8.0 measured every seconds for 8 seconds, with…

A: In this question, the concept of the Simpson Rule is applied. Simpson Rule ∫abfxdx≈h3∑j=1n2…

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A: Given: Data x 91 87 75 66 50 34 y 58 63 68 71 79 80 To find: Correlation coefficient and…

Q: 5. Use Stokes theorem to evaluate J[V x F-ds over the surface of the paraboloid z = 5-x² - y² above…

A: If S  be   smooth surface bounded by a  closed , positively  oriented  smooth boundary curve C with…

Q: y=0, 0*** (1 x= and show that it has no integrals that are regular mil A 14. Transform the equation…

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Q: The ER Dr. has asked you to administer 20 mg of Albuterol via continuous nebulization, over a 4-hour…

A: Consider the information given in the problem, Available dose that is dose in hand =2.5 mg3.0 ml.…

Q: 3) describe all the possible consistent and inconsistent systems for 2 planes; and describe all the…

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Q: Use Taylor series method to compute x(0.2) and given that d²x dx de -4x=0,x(0)=1,-(0)=2 dt² dt dr…

A: Taylor series of f(x) at x=0, is given by fx=f0+xf'0+x22!f''0+x33!f'''0+x44!f''''0+.....

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: Let What is the rank of AT A? Answer: A 3 0 0 0 0 0 5 11 −4 0 3 6 5 2 0 0 3 6 2 0 0 0 8 0 0 00 0 0

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Q: ) Solve by using Laplace transform the partial differential equation a²y 8² 9. dt2 Ox² y(0,t)= 0,…

A: Solution :-

Q: 9 Solve: Solve Sut subject to + bux = 0 u(x,0) = +x² зик + 2х их = 0 subject to ✓****/ Rx [0,00) ản…

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Q: HOMEWORK 15: Instructions: A. Reduce each equation to a standard form and describe the curve…

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Q: solve: رما) (c) ux = 0 in u(o, y) = ₁+ y² ity² 4x = 0 in R w(x, 3x) = sin x = 0 Wyy u(x,0) = sin x…

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Q: 8) lim(-) sinx-cosx 10) lim TU

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Q: Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for…

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Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

A: For X and Y normed linear spaces, let {Tn} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

Q: Consider the function f(x) = 3x for 0 < x < 4 (a) Find the function g(x) for which fodd (2) is the…

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Q: 3. Solve PDE BC ICS khu = Dzu u(1,0,1)= 0 [u(r,0,0) u,(r,0,0) = 0 0<r<1 0 <1 <∞ = 1-² 0≤r≤1

A: Given that,     utt=∇2u     =urr+1rur-1r2uθθ                     1 and the boundary  and initial…

Q: in a graph What is upper bounds ? And give an examples

A: Solution:-

Q: 9) Evaluate the double integral of the function f(x, y) = 12x²y + 8x³ over the rectangle 0≤x≤ 2 and…

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Q: The asymptotes of the curve r = are 2a (a) rsin (3-0) = √3 √3 (17-0 3 2a √3 o)= (F — 3 a (b) r sin…

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Q: Use Fourier transform to solve the partial differential equation: du d'u du(0, y) 01 du(x, y) əx " =…

A: Fourier cosine transform with respect to x Fcs=2π∫0∞fxcossxdx Inverse Fourier cosine transform…

Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

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Q: 7) Solve the system x=(6₁ -24 x 12 subject to the initial condition x(0)=(:).

A: