Q1:Discussion a continuity of the function f(x, y) at the point (0,0), where rey sinx (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)

Q: to a standard form and describe the curve er and radius irection of the opening vertex focus ends

A: The standard form of the circle is: (x-h)2+(y-k)2=r2

Q: Q1) In a ring Z, find the least common multiple of {2,3,8,12}.

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Q: f(x) = e-x (3.2 sin(x) - 0.5 cos(x))

A: Here a simple python script written follow that.

Q: For a, b, c € R, suppose that A is the matrix a + ib A= 1 = (1/√² 17/12). 1/√2) (a) For what values…

A: Given matrix is A=ca+bii/212 Solution a: i- Hermitian: For Hermitian matrix A=AT Also aij=aji Its…

Q: . Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x +…

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Q: If the linear system has infinitely many solutions, then k = and h = -6x 8x 50 x + 7y + 3z + 5 z 4y…

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Q: Consider the integral equation and answer the following problems. Also, G(t) is a differ- entiable…

A: Given integral equation is ∫0tG(z)et-zdz+2G(t)=2 we can write it as G(t)=1-12∫0tet-zG(z)dz Let…

Q: The system of linear equations of three variables is known: X + 2y + z =6 X + 3y + 2z = 9 2x + y +…

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Q: Match the formula of the exponential

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Q: 7 4) (y + x^²³² ) dx =xdy

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Q: To estimate drug dosages, doctors use a patient's body surface area (BSA) (in meters squared) using…

A: Consider the formula for the body surface area as follows: BSA=hm60                        1, here,…

Q: Given positive integers k and m, there exists an integer N ≥ m such that N →(m)k

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Q: Question 19 An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically…

A: Given: Let's take a look at the situation as it is, 6 on the major axisMinor axis is 4 till minor…

Q: Given the Initial Value and Rate of Change, write the exponential function for each of the…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1 (D² + 3D + 2)y= sin ex

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Q: 6. show that the complex Fourier series of the function; f.(t) = t. ostsil is : jant f (t)... + + +…

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Q: HOMEWORK 16: Graph the following equations. 5. y²= = x+3 2x²+3x+2

A: Here given y2=x+32x2+3x+2 or y=x+32x2+3x+2 Thus the domain of y is -3, ∞.

Q: Question 6 If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine (2E-3F)/|G| (A)…

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Q: 7. (Hadamard) For any real nxn matria m 1/2 A)] < ΠΙΣa; and |det(A)| Σ i=1=j=1 holds iff either A…

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Q: Alparticle moves according to a law of motion s= t° - 12t² Select the correct response: 2 sec and 5…

A: Particle moving according as  s=t3-12t2+36t, t≥0

Q: 6x7 matrix with linearly independent (You can choose multiple) Let A be rows, which of the following…

A: Given: 6×7 matrix To find: Solution

Q: Q11 Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval…

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Q: EX: Let S.[22] be asubset of IR Si-[-2-4J; S₂ = (-1,0]; S3 - (04]; S4= (1>2] {Si}, is a…

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Q: Q2- Reverse the order of the integration ff dy dx + f2f²dy dx equal:

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Q: 114 f(x, y) = (xy²-1 y-1 tion f(x, y) at the point (1,1), where (x, y) = (1,1) (x, y) = (1,1)

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Q: 11) All non-zero elements in Z[i] are non-zero divisors in Z[i] 12) In a commutative finite ring R…

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Q: There are 15 marbles in a jar: 3 red, 7 blue and 5 green. One marble is drawn at random, Find the…

A: Classical definition of probability tells us that  the probability of an event =number of favourable…

Q: 2 1) (-2xy) dx + ( Sing-x²) dy

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

Q: İkiye bölme metodunu kullanarak [0, π] aralığı üzerinde f(x) = x − cos(x) için p3'ü bulunuz. Use the…

A: If f(a)f(b)≤0 then one root of f(x)=0 lies between a and b. Using Bisection method, in each step…

Q: 3. Prove that if m is a positive integer and x is a real number, then 1 2 m 1 [mx] = [x] + \x + = |…

A: The greatest integer function is one of the most important real valued number theoretic function.…

Q: 12) f)=sin(x) 0<x<1 Ans. 24 1 (₁ A 7 (1)(3) 1 -cos(2x) +- -cos(4x) (3)(5)

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Q: . The price, p, in dollars of a product is given by p(n) = = 36 - 0.4n, 0≤n≤90, where n is the…

A: The price, p, in dollars of a product is given by p(n)= 36 -0.4n, 0≤n≤ 90, where n is the number of…

Q: Are the following isomorphic  ? Why

A: We know that ,  Two graphs G1 and G2 are isomorphic if there exists a matching between their…

Q: price is Y and car age

A: Given data is shown below Car Age (in years) Price (In dollars) 4 6300 4 5800 5 5700…

Q: I want to buy clothes and resell them for profit. It costs $10 to buy one jacket and $6 for one…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1. y" +3y=-48x²e³x

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Q: 92: A. Determine if p=i-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the general…

A: Use the given information.

Q: Using Laplace theories to find £-1 3S (S²+9)²

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Q: I want to buy clothes and resell them for profit. It costs $10 to buy one jacket and $6 for one…

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Q: Graph and please explain also. Using integrals, find the area bounded by the following:  f(x) = 2x2…

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Q: Describe an algorithm that takes as input a list of n inte- gers in nondecreasing order and produces…

A: Fact :-  a list of integers is nondecreasing if each integer in the list is at least as large as…

Q: -0.5 Q3:Estimate √1 + x4 dx with an error 0.0001 ?

A: Given: f(x)=1+x4 To find: Value of integral ∫00.51+x4dx with an error 0.0001.

Q: Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day:…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem for the…

Q: 2. For each of the following power series determine the interval and radius of convergence. a) 4¹+2n…

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

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Q: Question 4. Complete the boxes, giving your answers to two decimal places where applicable. to get…

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

Q: det fi s→ IR be afanction and 8= [-202] 5-+ $$ f(x) = -25x2-1 -15x20 3 05341 2 1<x<2 ร

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Q: Application Spherical - volume Find volume of a solid bounded above the sphere x² + y² + (z − 1)² =…

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Q: Consider the series: Question & % [a] Divergent test : 161 limit comparision test Ž n=1 3n²+2n-5 505…

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