V Solve the difS er en tiul Equation 2zy 9(っt)=y(5)t) -0 f(x)=35inスTメ-2SinラmX Solve by using Speration of Varíables»

Q: 20 1 s+3 5s-3

A: The solution is given as  

Q: .1.13 Do the odd permutations in S„ form a subgroup of S„? Why?

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Q: Gauss-Jordan reduction: Го 1 16 -6 ГО 4 Г1 0 —67 0 4 4 [1 -6] 1 0 -6 → |0 1 → |a 1 0 0 1 0 0 1 1 A E...

A: Introduction: Any elementary matrix, denoted by E, is obtained by performing a one-row operation on ...

Q: 2. Even and Odd (a) Use a direct proof to show that the sum of two odd integers is even. (b) and n, ...

A: Solutions 

Q: The roof of the classroom is composed of 6 equal isosceles triangles whose vertices meet in the cent...

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Q: find the dot product of a vector function and the derivative of that vector function. r(t) is a curv...

A: Two types of products are defined in vectors, the first one is a dot product or scalar product and t...

Q: Find the inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5 O h(s)=4/3 sin(21) + 3/7 sinh(7t...

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Q: Solve the system 4x1 -3x2 +2x3 +4x4 +x2 +3x3 +3x4 -I1 5 3x1 -2x2 +5x3 +7x4 -2x1 +2x2 +6x3 +6x4 10 %3...

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Q: Express the function below in rectangular form, (-1+i)-1+i

A: Given,            (-1+i)-1+i

Q: Let f(z)=ex^2 = U(x,y)+iV(x,y) Verify Ux=Vy

A:

Q: Describe the graph of an exponential function that has 0 < b < 1.

A: Please find attachment for the details solution 

Q: e bank is even willing to accommodate you by compounding the interest 7 times a year, al monthly com...

A: In the given question, the concept of compound interest is applied. Compound Interest Compound inter...

Q: Solve the given differential equation. *- 18 y %3D O y (6x22 - C) Oy 6x2+ C O y= 6x + x2+ C Oy 36x +...

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Q: a) Given that y, (t) = t-2 is a known solution of the linear differential equation t?y" + 5ty' + 4y ...

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Q: Solve the given differential equation. dy = 18-ay %3! dx O y= (6x22 -C) O y = 6x2 + C O y = 6x + x2 ...

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Q: Suppose {fn}n=1 converges uniformly on E. Show {fn}n=1 converges pointwise on E.

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Q: Find the area of the region enclosed between the curves y = x and x = y -6, and the region extend ov...

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Q: B. Yes because the diagonals are not congruent C. No because the legs are not congruent D. No becaus...

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

Q: Evaluate L{3e cost cos 8t}.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: Express the function below in rectangular form, (-1+i)-1+i

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Q: A 100 mg per L solution of drug is adminstered intravenously at a rate of 20 mL per hr to a patient ...

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Q: 6. The following matrix 0.8 0.4 A = 0.2 0.6 is a regular transition matrix.

A: Here first we diagonalize the transition matrix then the power of the matrix can be found using foll...

Q: Use the laws of propositional logic to prove the following: (p -r) v (q -r) = (pAq) -r

A: We have to prove

Q: 3. Let W be a subspace of R" of dimension k s n. Use the Fundamental Theorem of Linear Algebra to pr...

A: Given W be a subspace of ℝn of dimension k≤n. Since W is a subspace of ℝn of dimension k≤n, therefor...

Q: The concentration of acid in a battery is given as a function of time by dx/dz = 37.5 - 3.5x At th...

A: The differential equation given is as follows: dxdt=37.5-3.5x The initial condition is x0=50g/L. In ...

Q: form" of the Fundamental Theorem of Calculus: Let f : [xo, x1] → R be a continuous function. Then if...

A: NOTE:Kindly repost the other question as a separate question. 

Q: By using L(x)%3D1and L(x)= 1-x in Lagure polynomials, calculate the value of

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Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant ra...

A: We know that , distance = velocity×Time

Q: 12. In an experiment, there are 5 bacteria in a petri dish initially. This bacteria doubles in every...

A:

Q: Assume that f : R → R is such that |f(x) – f(y)| 0 one has that f(r) – r f(0) + (1 – A)r (b) Consid...

A: Explanation Given - assume that f:ℝ→ℝ such that f(x)-f(y)≤λx-y for all x, y ∈ℝ and some λ∈(0, 1) To ...

Q: Students at University of Wakanda will pay $2004 for 9 credits and $2796 for 15 credits. If the cost...

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Q: 1 at is L ? 2 s+4 S

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Q: Find the Fourier Transform of - n<x< 0 0 <x < n f(x) = %3D 1- x

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Q: Solve the following Integral Equation: Ho)-2.

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Q: sin(z) Sc (3z – 2)(z – 3) dz

A: Please find attachment for the 

Q: 2(s - 4) [s² +2s+10] What is L using Completing the Square? 2e cos 3t 4 -e sin3t 3 В. 2е сos3t C. -2...

A: To solve given inverse Laplace transform first we write it in the standard form and then use the for...

Q: A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain...

A: (a) A relation is an equivalence relation if it is, reflexive, transitive and symmetric. Let D be do...

Q: The roof of the classroom is composed of 6 equal isosceles triangles whose vertices meet in the cent...

A:

Q: =2.x, Vx

A: a) The groups S4 and D12 are isometric  False In S4, there are 9 elements of order 2 But in D12 ther...

Q: Find (f/g) (n) when f(n) = x^2 - 3x - 4 and g(n) = x + 1 _____________________ A. x + 2 B. x - 1 C. ...

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: Evaluate the given integral where C is the directed line segment that joins the point 1 to the point...

A: The given problem is to evaluate the given path integral over given path of line segment joining bet...

Q: Exercise 6. Let ECR such that E is nonempty and bounded. Prove that the set -E= {-x : x E E} satisfi...

A: NOTE:Kindly repost the other questions as a separate question. 

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

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Q: »4-x² 1-y- xe?y dy dx 4 - y (b) Ln(a² + y? + 1) d dy (a) 0, /1-y²

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Q: Find the coefficient of xº in the expansion of +

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Q: 3d +4 What following laws of limits can i use for lim that equals or 1.75 d 14d2-2d+2

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Q: 2 31 3. Let A = 3 3 1 compute A-1 241 of the system, using A-1. 2. Ay 1

A: To compute A^(-1) from the given matrix and the  to find the solution of the given system. 

Q: Suppose we have part of a hyperboloid of two sheets -4x? -4y? + z? = 9 where z 20 (so the upper half...

A: Equation of hyperboloid of two sheets is: −4x2−4y2+z2=9 Where z≥0 and z≤15

Q: Evaluate the following and write it in rectangular form a.) ln(50<70) b.) ln(1-j) (1+j√3)=A

A: The given problem is to evaluate and simplify the given complex expression and express in rectangula...