1. Using finite differences, determine the type of function (quadratic, cubic, quartic, quintic, exponential, or logarithmic). Show your work to justify your answer. Clearly label the required additional column headings in your table. X -1 0 1 2 3 4 Y 250 31589 70 71 67

Q: The region of integration for the double integral of f(x,y) is given by 0≤x≤1, y=e*, and line AB.…

A: Here no need to line AB because line AB will help to draw the diaagram but line AB is not define…

Q: Prove that if G is a graph of order p and has size greater than ¹) then G is connected. 2

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Q: Prove that three dimentional volume element "dx d ment is invariant under Lorentz transformations.

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Q: 3. Form the partial differential equation by eliminating the arbitrary constants a and b from z =…

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Q: Classify each of the following differential equations. In particular, state the order of the…

A: Given: The equations are: (a) α∂y∂t2+∂y∂t=sinx (b) ddtdydt+β1+y=0 To classify: The order of the…

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(x), has a limit cycle.…

A: Here we have given that the second-order system x˙=fx with a locally Lipschitz fx has a limit cycle.…

Q: 2v y'=, when y(2)=3 1+ y²2²

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Q: 3. Show f cos2n Ode 277 sin-n Ꮎ ᏧᎾ = 27 22n 11.1 n = 1, 2, 3,...

A: Using Cauchy integral formula.

Q: What is the smallest positive integer n such that 80325 divides n!

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Q: integra

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Q: Let (Z8, +8) and H={0,2,4, 6} .Find the normalizer of (H, +8) in (Z8, +8).

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Q: What is the smallest positive integer n such that 80325 divides n!

A: We have to find the smallest positive integer n such that 80325 divides n !

Q: 5 (K+1) K=1

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Q: 1.1. Let f: [a, b] → [a, b] be such that f(x1)-f(xo)| ≤ L1 - xol for all o, 21 € [a, b], with L < 1.…

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Q: (c) L0" + gsin 0 = 0. 24 u Әзхду (d) e3. = f(x)

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Q: Diagonal elements of Cholesky factor. Each X ES+ has a unique Cholesky factorization X = LLT, where…

A: Given That : Each X∈Sn++ has a unique Cholesky factorization  X=LLT where L is a lower triangular…

Q: Let T be a triangle with vertices (1,-2), (3,0), (-3,2), and f(x,y)=x^2(y-x+3) (a) Find the linear…

A: It is given that T is a triangle with vertices 1,-2, 3,0 and -3,2 and the function fx,y=x2y-x+3. (a)…

Q: If lim (a.) 2 (b.) 4 L(C.) 16 (d.) 64 1+ cx 4, then lim (1+2cx 1-2cx, IS

A: The given limit is: limx→01+cx1-cx1/x=4. To Evaluate: limx→01+2cx1-2cx1/x.

Q: x-1 2 x² + x -dx

A: As per the question we are given an indefinite integral of (x-1)/(x2 + x) which we have to evaluate.

Q: 5. Find and sketch the domain of the functions (3D) A) f(x, y, z)=√√√1-x² - y²z² B) f(x, y, z) =…

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Q: 1. Let f(x) be the piecewise defined function as follows: (x-1, f(x) = {2, for x 0 In your group,…

A: For the given piece wise function a. f(9)=3 b. f(0)= 2 c. f(-2)= -3

Q: 1. S e2x dx √25-4e4x

A: I=∫e2xdx25-(2e2x)2Put e2x=t2e2xdx=dt=&gt; ∫12e2xdx25/4-(e2x)2=∫14dt25/4-(t)2=&gt;…

Q: Classify each of the following differential equations. In particular, state the order of the…

A: (E) αuu'+3u=c classify the differential equations. in particular state the order of the differential…

Q: 3. Prove that the groups (R.) and (R,+) are not isomorphic, where (R* R{0},-) is the multiplicative…

A: We have to show that the groups ℝ, + and ℝ*, · are not isomorphic. Here, the group ℝ*, · does not…

Q: (a) Use Gauss-Jordan method to find the inverse of the following matrix : [1 2 3] 567 87 0

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Q: Suppose that an is an infinite series with partial sum SÃ = 7 - 2 n=1 N² 10 16 What are the values…

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Q: Consider the integral 2x x² dr. Use the composite Trapezoidal rule with n = 4 to approximate the…

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Q: Alphanumeric Pattern

A: Make a table for the position for characters A B C D E F G 1 2 3 4 5 6 7 H I J K L M N 8 9…

Q: Question 1 (51)3= 12 (mod 10) True O False

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Q: Moving to another question will save this response. Question 7 Let A = OOO O w O-1 - N 2 2 (²1).…

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Q: 1. Draw the triangle with vertices z1 = 2 - 4i, z2 = -5 - 4i and z3 = -6 + 8i on a complex plane and…

A: (1) As per the question we have a complex plane where we have 3 points as : z1 = 2 - 4i, z2  z2 =…

Q: Exercise 8.4.19. For each of the following functions, either prove that it is onto, or prove that it…

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Q: 14.2.2 (a) If Bum is the mth zero of (d/dp) Jy(Bvmp/a), show that the Bessel functions are…

A: Given: If βvm is the the mth zero of (d/dρ)Jv(βvmρ/a) To prove: The Bessel functions are orthogonal…

Q: Question 2 Use the slider to graph the standard position angle, then convert the degree to radians.…

A: Given Degree Measure = 176 degree

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A: given equation of circle  x2+y2=9 using Sir Isaac Barrow's method and replace x,y→x-e, y-a equation…

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Q: Determine the rank of A. A= 000 1 2 3 4 1 -1 5 -2 2 2 -2 -2 5 1 1 0 -12 9 -3 -1 1 1 7 -7 1

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Q: Show that u(x,t)= f((x+a*t)+f(x-a*t))/2

A: Given PDE is utt=a2uxx subject to ux,0=fxutx,0=0 We know that the general solution of the PDE is…

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos ex y(x) =

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Q: (b) Find the volume under the paraboloid z-x+y above the triangle enclosed by the lines y=x,x-0 and…

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Q: 84 3 40 127 300 35 23 58 102 19 97 485 26 72 Write the numbers in the correct places on the Carroll…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If op is a homomorphism of group G onto G with kernel K and Ñ is a normal subgroup of G. N = {x E G|…

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A: The equation of the line passing through the point (a,b) with slope m,                     y-b =…

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: We have to create a differential equation for the given problem. Let us denote the number of…

Q: Consider the permutation 12345\/12345\/12345 31524 24153 45312 Express as a product of disjoint…

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Q: Find the general solution of the system whose augmented matrix is given below. 1-4 0-1 0-6 0 10 0-9…

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Q: Convolution with Impulse (Dirac) Function. Convolution with impulse function can be performed by the…

A: Note: The value inside the circle is incorrect. The proof for the correct value is given in the…

Q: Evaluate the integral [x² (y + 1) dx + = along the path ABCDA shown in figure." 21 y+z²+2 dy + xzdz…

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Q: Find the LU factorization of A A= Ly To solve the system -2 -4 4 -7 4 -12 11 66 using the LU…

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