Use Simpson's rule with in two decimal places.

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: The three dimensional surface is represented by the equation f(x, y, z)=0. If the graph of f(x, y,…

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: The geometric object in 3-space represented by the equation (x + y +z)^2 = 81 is a. the empty set O…

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Q: Solve (xy + xV2 + y+ v2) dx + (x²y + y – x²/2 – v2) dy = 0 -

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Q: 3. Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x -6y + 2z = 5.

A: Given equation of planes: 2x-3y+z=4 and 4x-6y+2z=5. To find: Shortest distance between the parallel…

Q: 4 0.5t f (t)=-3t*e05t +3.8t²e²

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Q: Solve the system of differential equations x' = 3x + Oy y' = 12x + ly - 2 (0) %3 3, у(0) 3D 10

A: given difference equation x'=3x+0yy'=-12x+y with initial condition x0=3 , y0=10

Q: , How many ways are there to distribute r+s identical balls among five different children such that…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: Each of the following is false. Give a counterexample. a. For every prime p, Z, is an algebraically…

A: The complete details are provided in step 2 with nice typesetting done in latex

Q: A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

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Q: b) y = |x| – 2 and the x axis %3D

A: Given curve is y=x-2

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. (2) lim tan 7n…

A: Definition of the definite Integral

Q: This is a matrix [0.1 0.2 0.6] M = 0.8 0.3 0.2 0.1 0.5 0.2 (a) Explain why M is stochastic (ie…

A: As per the question we are given a 3×3 square matrix M , and we have to find: Whether M is…

Q: 6. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: y=-2x2+15x+22 will be the best fit for the among given data

Q: Morley Fast, a contractor, built a warehouse complex in Canmore for the following costs: land,…

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Q: if it exact find the general solution of the given equation

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Q: Can you explain part (ii) more? just like a basic step by step explanation of everything that…

A: As per the question we are given two functions  α(x) , β(x) And we have to find the derivative of…

Q: Provide any set S1 and S2 such that: (a) Si and S2 are subspaces of R", and that (b) Si U S2 is also…

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Q: Find the approximate root in 5th iterations of the function f (x) = e2 + e-1, (-0.5, 1 %3D using…

A: To find The approximate root in the 5th iteration by using Regula-Falsi method.

Q: 7. 7 Calculate the area of the portion of the sphere x +y +z = 49 between z = 2 and z =V2. 2 2 O A.…

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Q: onsider the following three matrices 1 0 0 (1 0 C = 0 0 1 0 1 0 0 0 1 0, 0. 0 0 1 1 A = 0 0 B =0 1 2…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) = -1

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Q: Select all the real numbers M among the choices below such that the two planes given by r- = -2 -2…

A: To select the value of M such that the given two planes do not intersect. If the two normal vectors…

Q: 4. Рy/Оx? - 60у/дx - 5 %3D 0

A: 4 Given differential equation is ∂2y∂x2−6∂y∂x−5=0. We have to identify the order, degree, type of…

Q: Find the maximum opproximate error in the volune of right cirwlar due to possible cone errore of /6…

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Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Let i denote the square root of –1. For the two complex numbers z = 3e 3 and w = 6e'3 find z. w.…

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Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: Let a and b be positive integers such that ax + by = 7 for some integers x and y. Then %3D

A: We have to choose  current answer of given statement.

Q: Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j ,…

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Here,  total diplomats = 100 Number of continents= 5 Also, in continent 1, 2 ,3,4,5 there sholud be…

Q: QUESTION 9 Given the following time-complexity functions, fi€ O(n³) f2€ O(10n³) which algorithm is…

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Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0 @x-0) dy =…

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Q: 2. Find a basis for the subspace W = {[r y z]T: ax + by + cz = 0, a, b, c e R} of R". What is the…

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Q: Question 3 330 Given A=1 10 Find an oigeonvector of A corresponding to the eigenvalue 0 0 0 2

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Q: , How many ways are there to distribute r+s identical balls among five different children such that…

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Q: Consider the discrete-time SEIR epidemic model Sn+1 - S, + A - 8 - uS. S.In S„In En+1 - E, + B (u+…

A: We will use the basic knowledge of ordinary differential calculus for linear, homogeneous ODE.…

Q: 25.2 Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…

A: We can solve this using midpoint's method

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

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Q: 3. Sketch the graphs of the following curves. (a) r = 2+ sin 0. (b) r= | cos 30| (c) r = sin 0.

A: We have to sketch the graphs of the given curves.

Q: Exercise 1. State which among the following are pairwise relatively prime. 1) 15, 17, 19: 2) 15, 25,…

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Q: ) For two vectors u = [1,0,0]T and v = [1,1, 1]", find a third vector with %3D 3. unit length such…

A: This is a problem of vector calculus.

Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

A: I have just used the definition of x=a (mod b).

Q: why is the permutation odd?

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Q: . u, = u, - sin x cos t, 1> 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, u,(x. 0) = 0

A: Solution :-

Q: ) Let S be the surface given by the equation y? = 9+ xz. Find the point(s) on S that are closest to…

A: We have to find the shortest distance from the point to the plane. We will write the formula for the…

Q: measure of minor arc PN = 110° T. 110° L, P

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Q: 1. Give an example of a 2 x 2 matrix with no inverse ( singular). Show how it become singular 2.…

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