Use Maxima to plot the parabola given by y = x² – 3x + 7 and the circle x² + y? – 4x – 20y + 80 = 0 on the same graph. Use Maxima to find the coordinates of the points of intersection between the parabola and the circle. State the values of the coordinates rounded to two decimal places, but do not attempt to use Maxima for rounding.

Q: Solve the boundary value problem numerically - du = r, 0 < IS1 subject to u(0) = 0 = u(1)

A: d2udx2=-x2⇒dudx=-x33+c⇒u=-x412+cx+du(0)=00=du(1)=00=-112+cc=112u(x)=112(-x4+x)

Q: 7. Consider two enzymes A and B, which are not related. However, the two enzymes coincidentally…

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Q: (y – 3)² - Consider the surface T with equation 4 + 22 = 1. 3

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Q: | Given a finite set A with n elements, let R be the relation defined on the set of functions f:A →…

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Q: Example 10.22. Using Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx =…

A: Here, we need to use the Runge-Kutta method and Milne's method.

Q: Given p > 2 a prime number, prove that: (p+1 |("") = 0(modp 5.1) for any natural number 2 snsp-1 ) =…

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Q: |Example 11.4. Solve the Laplace equation u + u, = 0 given that %3D yy 11.1 17 19.7 18.6 U3 21.9 uz…

A: Here, first we need to find initial values.

Q: I Example 11.7. Solve by relaxation method, the Laplace equation 0, inside the square bounded by the…

A: We need to use relaxation method to solve given problem.

Q: For the following system: Use the Lyapunov function V(x) =r+r2+ to show that the system is stable.

A: The given system is: x˙1(t)=-x1+x2.............(i)x˙2(t)=-x2..................(ii) Given Lyapunov…

Q: Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One…

A: We have to find the best combination of the quantities of type A and type B cloth which gives the…

Q: 13. 8. The ball is colored red. 9. The ball is colored blue 10. The ball is colored white. 51 Teme

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Q: Find the that passes tirovgh fhe posints (-2(01-1) and trrough the line of intersection q 2i43y-2 zo…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: f(x) f(x) (x). f (x) (2) (1) (1) (2) 7 f'(x) = 72x+3 9 8.

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Q: In Exercises 13-26, a vector field Fand a closed curve C, enclos- ing a region R, are given. Verify…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: To find the sum of the given series :-

Q: find

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Given data net velocity (v) V=x-y, z+y+9, z2 net equation  y=1-x2-z2   , y≥0 find  ∫∫sv.ds= ? in…

Q: Ronus Question Consider the problem of estimáting the fourth root of a number A. Write down f(x) so…

A: According to secant method if x0 and x1 are two initial guess for root of f(x) . Then next…

Q: (cos 6, sin 0) (0,1f G4) 2x (号) (올) 120 3 3n 60 135 45 5x 150 6 30 (1,0) (-1,0) 0,0 180,t 7x 210, 6.…

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Q: Answer the following system of linear equations though: a) Inverse of a Matrix (using Determinants)…

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Q: laplace{sin3t sin8t}

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Q: dt dy la) what is associated dineorijed System ar Hhe equilibrium lo,0) ? 10,.0) ! 11 ity of the…

A: This is a problem with the system of differential equations and their stability.

Q: Identify the equation as homogeneous, Bernoulli, linear coefficients, or of the form y' = G(ax +…

A: The given differential equation is cosx+6ydy=sinx+6ydx To check: the given differential equation is…

Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: The given vector field is F(x,y,z)=x2 i +y2 j +z2 k and S: x=0, x=a, y=0, y=a, z=0, z=a.  To…

Q: identify the substitution equations and solve the solution 2( x–y)dx+dy=0

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Q: Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how many…

A: Here we can use combinations to find the required number of ways. We can choose r things out of n in…

Q: (5) Fourier series techniques to prove the existence of solutions to the heat equation with…

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Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: Find the positive root of the equation xe^x-3 using regula falsi method and correct to 4 decimal…

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Q: HOw many ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL BLUEBERRY

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Q: logonai busis Ul the following matIx. 3 3 1 3 A = 8. 13 5 7 -6 9 15 6 -9 For convenience, here is…

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Q: Consider the following system of linear equation -3 5 -1 2 (X1v X2 0 -1 -2|| x3 16 |-2 5 5 -1 19 -11…

A: The Gauss-Seidel method is a version of the Gauss-iteration method. This change decreases the amount…

Q: Using the answers obtained in getting the LU decomposition, solve the following system of equations.…

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Q: 10. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: This is basic problem in counting. The detailed solution is presented below as the next step.

Q: Question 3. all its cluster points. Prove that a subset of a metric space is closed if and only if…

A: We have to prove that a subset of a metric space is closed if and only if it contains its cluster…

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: c. exactly 2 are black? f. exactly 1 is black? g. none is blue?

A: This is a problem of finite math.

Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: Example 11.10. Solve the boundary value problem u, = u, under the conditions u(0, t) = u(1, t) = 0…

A: Please find step by step solution of given boundary value problem below:

Q: O Calculate the integral y dydx

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

Q: Consider f(x)= 5.6x⁵-6.5x³+8.2x-7.4. Using the given function, calculate the Rm by making use of the…

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Q: 29 A physician recorded the resting heart rates of some of her patients. She also recorded the…

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Q: 2x+10 (b) 22x+185

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Q: L{te2t sin t}

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 favg f(x, y, z)…

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Q: 13. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We have 9 friends and 5 rooms.  So, basically, we need to find the number of ways to choose 5…

Q: Example 10.33. Applying Euler's method to the equation dyldx = Ay, given y(x) = yo %3D determine its…

A: Here, we need to use Euler's Method to solve given problem.