Find the optimum point of this given function using Gradient Descent method and show the error (2 iterations only) x2+2x-8 using the initial point x =-3

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A: We have to find function which is not a polynomial.

Q: 1A building contrastor has accepted ordlers S hype A houses, 7 hype B houses and 12 contractor is fa...

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: (25) Consider the following two matrices 1 b. A = 1 B = (i) Compute AB and BA. (ii) Specify a set of...

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A: Note: We are entitled to solve only one question at a time. As the specific question is not mentione...

Q: Use Bisection Method to find the root of r + 6x? – 12 = 0 that lies in the interval (1, 2) to four-d...

A: The steps to find the root of the equation fx=0 by the bisection method are as follows. Identify tw...

Q: 3.1.7. (-) Use Corollary 3.1.24 to prove that a graph G is bipartite if and only if a(H) = B'(H) for...

A: To prove A graph G is bipartite if and only one α(H)=β'(H) for every subgraph H of G with no isolate...

Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the following ODES:

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r ...

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Q: & 'Dashboard X (83) Quarter x 1 PM Schaffer Me org profle/e/ascignments/teacher/katd 443114613474327...

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Q: ith uniform density (mass/unit length) 6(z) =5+ sin(z) lies on the z-axis between z = 0 a

A: Introduction: The formula of the total mass of a rod with density function δ(x) with a≤x≤b is given ...

Q: dy +1 = The differential equation: has the initial conditions that y=1 at x= 2. Produce a numerical ...

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Q: Simply the expression to a sum of 2 terms and then factor the result to obtain the product of sums: ...

A: The complete solution is in given below

Q: Obtain the DFT of the given sequences using Direct method x(n) = {4,1,1,2}

A: Introduction: The discrete Fourier transformation is used to transform a discrete signal. Discrete s...

Q: (1) x=-4x+3t+1

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Q: II. Matrices and Matrix Operations Let A and B be the following matrices: A= [+ 2 + 4 - 2 + 8 + 3 + ...

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Q: EXs- Apply the improved Euler's method to the ODE : ý= x+y hzo-2, Xozo, Yozo Sol:- ki = 0.2 (Xn +Yn)...

A: Here we use basic formula of euler and improved euler and find error by table.

Q: by3 (3b² – x?)(1 – x5V3)/3b² – x2 dx -

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Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit -X、...

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8...

Q: What mathematical background is needed to understand calculus?

A: 1. Algebra  2.Functions 

Q: 82 cities were surveyed to determine sports teams. 23 had soccer, 19 had football, 17 had basketball...

A: We can solve this by given information

Q: e 255 (s+2)2 - 16 = uz(t)e-2-2)cosh(4(t-2)) Select one: O True False

A: Inverse Laplace transferom

Q: 3.1.4. (-) For each of a, a', ß, B', characterize the simple graphs for which the value of the param...

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Q: 13 () 9. If A is a 3 x 3 matrix such that A 1 and A 4 1 then the product A 7 is %3D %3D 8

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Q: Determine the particular solution 2y" + 5y' + 3y=0; y (0) =3; y' (0) = 2 Options y = -10e-3x/2 - 13e...

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Q: sin 4

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Q: Given the following weighted voting system [16: 12, 7, 4], is there a player that veto power? If so,...

A: In this question, the weighted voting system is given as- 16:12,7,4 Do we have to determine which pl...

Q: Consider the differential equation: y" – 6y' + 9y = (x + 1)e³* What is the particular solution Yp = ...

A: We can solve this using given information

Q: a bc de f Given det = 4, find the following determinants. g hi ghi a b c det de f a b c 6d + a 6e + ...

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Q: [Question 2] Given the tabulated function 1 3 4 0.13 0.08 y=f(x) Using linearized least squares, fit...

A: To use linearize least square method to fit the data to a function of the form fx=1ax+b.

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular an...

Q: If curllE)= y K कजव ैर व्णय curllF). div.[curl GEN

A: Divergence of curl(F)

Q: Use the graph of the exponential function  f(x) = abx + c  to find the following information.   (a) ...

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Q: Show that t (T (n)) = 2 if and only if n = p9-1 for some primes p, q. %3D

A: T(n) is the divisor function which counts the number of divisors of a number. 

Q: nsider the differential equation: Vy' +y =

A: In this question, the concept of Integration is applied. Integration Integration is a method of brin...

Q: onsider the differential equation: · (y/')8 In(y') (3')3 %3D - /hen solving the previous equation, t...

A: In this question, the concept of integration is applied. Integration Integration is a method of brin...

Q: 3By UBing the two iterative methrds Solve the following System of equation and compare the speed of ...

A: Given: A system of linear equations, 5x+2y+z=12x+2y+5z=20x+4y+2z=15 To find: Using two iterative met...

Q: 2.) Find the transition Matrix from B {(3, 2, 1), (1, 1, 2), (1, 2, 0)} to B' = {(1, 1, –1), (0, 1, ...

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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the g...

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Q: 3. Answer the following questions. (a Let T be a linear transformation hom Rto such that Compute T(3...

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Q: y² ) sin(a Lsin(m)

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Q: Consider the differential equation (1 +1) y" + y- 2ry = 0. %3D The Maclaurin series y a, T" is used ...

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Q: 2. After receiving a $1400 stimulus check, you cash the check and stuff the cash into a mattress. Yo...

A: Here we will use sum of infinite GP( geometric progression ) a+ar+ar2+.....∞=a1-r

Q: Let M be a real square matrix such that M3 + M = 2M². Prove that M is diagonalisable.

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Q: 8-14 INTEGRAL EQUATIONS Solve by the Laplace transform, showing the details: 8. y(1) + 4 y(7)(t – T)...

A: Solve the voltera integral equation, by using Laplace transferom

Q: Consider the differential equation r y" + 5xy + 4y = 0. It is given that I= 0 is a regular singular ...

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Q: 3.) Find the volume generated by revolving about the x-axis the areas bounded by the following curve...

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Q: You have an internship where you are helping track re he price in dollars of a gadget and q = f(p) i...

A: In this question, the definition of derivative is applied. Derivative A derivative can be used to fi...

Q: H.W : Repeat size h=o.l and Compare with step the error with the Euler's methed,

A: Euler's method: For a given differential equation dydx=f(x,y), Euler's method is defined as yn+1=yn+...

Q: Determine if g is differentiable at a = 0 if 2 cos-1 if – 1 0. x + cos x

A: