Proldom nog y(x) Find y as frofx ly "" + 64y' = 0; y(0); y'(0) = 24; y²¹ (0) = 0 ia (32) ma 08- fast/ 76

Q: 3cos(6x)

A: 3cos(6x) we know formula cos2A=1-2sin2A and Sin(3A)=3SinA-4Sin3A

Q: Q4. Paul took some money to buy some bags. Each bag cost the same price. If he bought 7 bags, he…

A: The system of linear equations in two variables has great importance in real life. Many real life…

Q: 2 1. det C = 2 4 5 123 14 6 81 det F = 47 15 5 21

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Q: Example 8.8. From the table below, for what value of x, y is minimum? Also find this value of y. 3 5…

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Q: When A has full rank, the pseudo-inver en m≥n, and as A+ = AT (AAT)-¹ when n A = I, so A+ is a left…

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Q: 1. Find the Taylor polynomial of degree 4, centered at a 4 for the function f(x) = √x + 1.

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Q: 2. Let N (x) be the statement "x has visited North Dakota," where the domain consists of the…

A: We have Nx is "x has visited North Dakota" Now, the universal quantifier ∀x Nx means that the…

Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money.…

A: Let x be some number  1n of the number means 1n x Twice of the number is 2x

Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

A: Let x be the number  1n of the given number means 1nx Remaining of the number is the amount left…

Q: Let K be an extension of a field F and let f(x) € F[x] be a polynomial of degree n≥2. Then a€K is a…

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Q: 6. An adult takes 500 milligrams of paracetamol. Each hour h, the amount of paracetamol in the…

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

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Q=∫02∫-4-y20∫x2+y28-x2-y2ydzdxdyRegion of integration,0≤y≤2-4-y2≤x≤0and x2+y2≤z≤8-x2-y2

Q: products 1 and 2.Andrea has an initial endowment of ( ω 1,ω 2 ) = (80,80), and initial prices are 4…

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Q: 5) Suppose that f(0.75) = f(0.25) = ß if the composite trapezoidal rule with n=2 gives the value 4…

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Q: Suppose the functions f, g, h, r and are defined as follows: 1 1(x) = 1093 / +10g, x log3 g(x) =…

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Q: If K is a finite extension of a field F, then the group G (KF) of F K is finite and o[G (KF)] ≤…

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Q: M O 82 63 R

A: Given figure as, Here, MQ and NR are diameters and the indicated measure as arc PQ=?

Q: Determine the value of angle in the following equations. cos 0 0.4917 sin = 0.0859 8 = tan ¹8.031 e…

A: Solution : 1) cos(θ)=0.4917 ⇒θ=cos-10.4917 ⇒θ=±60.55°+360°k Where k∈ℤ 2) θ=tan-18.031 ⇒θ=82.9°+180°k…

Q: If f(z) = u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: Evaluate the integral ſ sin x dx by the method of geometry.

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: 7. Let A and B be sets, and let f: A → B and g: B → A be functions. Suppose that: • go f(a) = a for…

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Q: n 18. Let H be a subgroup of all automorphisms of a field K. Then the fixed field d of K.

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

A: As per the question we are given a population model in terms of dynamic system. And we have to find…

Q: = 238 and the 93rd term is 539. S

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Q: 10. 3y 2 M(1;1) 11. g =2ry+1;M(0;0) 12. rdy – xdx =ydx. x3 I

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Q: 1. Let z, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

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Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. z = x² + y² − 4, z = 8…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Problem no7 Findy as fired 2x²y" - 5ay - 7y=0; y(i)= 3 . у= і ўсі)=

A: To solve the below differential equation. x2y''−5xy'−7y=0, y1=3, y'1=9

Q: The glee Club is planning to conduct a charity concert at the theatre hall. The theatre hall is…

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Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

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Q: Let K be an extension of be an algebric element o 2 F Show that a ² is algebr

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Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

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Q: Use spherical coordinates to evaluate the integral •√₁-x² √√₁-x²-x² (x² + y² + ²)dzdydx.

A: To evaluate the integral using spherical co-ordinate system :-

Q: 9) If f(z) = u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

A: The complex functions are usually represented by the equation: f(z)=u(x,y)+iv(x,y).

Q: Consider the piecewise function 2+x² x<0 x=0 g(x) = 1, 2-³, 0<x< 1 2-x x 21 (a) For each of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Define F.: Rx R→ RX R as follows: F(x, y) = Select all the choices that are true: OF is one-to-one.…

A: One-one function: This function never maps distinct elements of the domain to the same element of…

Q: Find the divergence of = ea + sin(xy) a + cos² (xz) a X O yey+x cos(xy) - 2x cos(xz) sin(xz) ọ xe…

A: U→=exyax+sin(xy)ay+cos2(xz)az

Q: 2: Find the first 4 terms of the Taylor series for: f(x)=sin лx near a=0.5

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Q: Let F be a field, and let f(x) be a nonzero polynomial in F [x]. Then splitting field of f(x) is an…

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Q: s+10 B:1: Solve 1. L { t²cosat) 2. L-1{2+₂} (s²-s-2)

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Q: (B) Give an example for a commutative ring with identity.

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Q: QUESTION 1. Find the Laplace transform of the following functions. Here, represents con volution. a)…

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Q: 1. Let z, y ER" be given. (a) If ||z||||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, −2,…

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Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: Given that dx du [₁²3 = missing steps = √x + 2 √u Re-write the integral will all the missing steps.…

A: LetI= ∫-2-1dxx+2substitute u =x+2⇒du=dxLower limit: when x =-2u =-2 + 2 =0Upper limit : when x =-1u…

Q: A S B 15 D 11 18 19 16 10 Given the Venn diagram as shown above, answer each of the following…

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Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…