Let a ER which expressions are part of the Borel o algebra, B(R) they are correct? and give the justification why

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

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Q: Can you explain why I would not use the washer method to find the volume? I'm confused on when to…

A: Here we will draw diagram for disk method to understand why it should not be used

Q: what happened to the (7(s+1)e^-s)/s^2? why is the answer just (7e^-s)/s

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Q: Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a…

A: System of Linear equations and solution

Q: Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

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Q: 1. Use Green's Theorem to evaluate |F. dr, where F(r, y) = (3y- esin, 7x + Vy + 1) and C is the…

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e3…

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Q: Consider the following propositional logic knowledge base (KB) that encodes these premises BAT=0 O =…

A: F1 : B ^ T => O  ≈ ~(B ^ T) v O                            ≈ ~B v ~T v O F2 : O => B ≈ ~O v B…

Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

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Q: very linear transformation = au + bv, y = cu + dv with ad – bc + 0 aps lines of the uv-plane onto…

A: Given, Linear Transformation x=au+bv and y=cu+dv maps lines of the u-v plane onto lines of the x-y…

Q: Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = - = -1 = 0 = 3 -2x1 + x2 –…

A: Given the equations 2x1-x2+3x3=-1 -2x1+x2-x3=0 x1-3x2+6x3=3 First, we will find the solution vector…

Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

Q: 5. Let {fn} be a sequence of measurable functions on E = [0, 1] satisfying Prove that the sequence…

A: Recall.   1: Triangle inequality for integrals.   2: if (a_n)^2 goes to 0 as n goes to infinity then…

Q: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to a constant temperature.…

A: The differential equation is dTdt=kT−Tm. ⇒dTT−Tm=kdt Integrate both sides…

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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Q: Employ Crout's decomposition to solve the system. 5x1 – x2 = 9 -x1 + 5x2 – x3 = 4 -x2 + 5x3 = -6

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Q: Evaluate the surface integral fof the scalar feld 1-62+4 where S is the surface parametrised by (u,…

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Q: Write equation for each graph With explanation

A: Given: Graphs e)  f) To find: Equation for each graph.

Q: This is incorrect please help

A: The given line integral is∫C6y3dx-6x3dy,   C is the circle x2+y2=4Green's theorem for a positively…

Q: What method was used in step 2? Any references for the method used?

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Q: 5. (8³z/ôx³)2 - (5²z/ây?)5 - 15ôz/ôt (50²z/ôy?)5 - 15ôz/ôt = 0 %3D

A: We can solve this by using definition of ordinary Differential Equation and partial differential…

Q: Consider the following propositional logic knowledge base (KB) that encodes these premises BAT=0 O…

A: F1 : B ^ T => 0       ≈ ~(B ^ T) v 0       ≈ ~B v ~T v O F2 : O => B ≈ ~O v B F3 : B => M ≈…

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: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: If a line is parallel to the vector 2i + 7j + 10k and passes through the point P = (6, 10, 5), then…

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Q: Find the area bounded by the given curves, axes and/or lines. 1. у2 +х — 4у 3 5; у-ахis 2. y = 3x –…

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Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 -X1 + 4x3 + x4…

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Q: Find the general solution of the following system of first order ODES dx x + 3y + 3z dt dy x + Y dt…

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Q: fined the genral solution 8) (D+D,)'u=0 %3D

A: Solution

Q: Determine the local linear approx imation of flx,4,z) =(1+x) (l-y³) (l-2)²' at the point CT, 2,3)

A: The local linear approximation: Lx, y, z of the function f(x, y, z) at the point x0, y0, z0 is…

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: dy dx cos 9x +y

A: First of all we write the given equation is of the form of linear first order differential equation…

Q: ii) 2yt'dy + 3y°®dt = 0

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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: Consider the bases B= (u1, u2) and B' = {uj, u½} for R², where -[} »-H «-} «-[*] uj = u2 = %3D (a)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: 1) An electronic manufacturing firm has the profit function P(x) = - x3 +? x² – ADx + A, and revenue…

A: a. Given, Px=-BAx3+DAx2-ADx+A and Rx=Ax3-Bx2-Dx+AD. The relation between profit, cost and revenue…

Q: nd the differential equation of a family of circles, each having its center on the line y = x and…

A: We have to find the differential equation of the family of circles from given data.

Q: Consider the bases B= {p1, P2} and B' = {41, 42} for P1 where P1 = 6+ 3x, p2= 10+ 2x, q1=2, q2=3+2x…

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Q: Suppose a curve is defined by the equation 16(x + y) = 45. Show that if you translate the curve to…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

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: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…

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

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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: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: 2. For each statement, Determine if it is True. If it is true then prove it. If it is False then…

A: We will use the basic knowledge of arithmetic, number theory, and set theory to answer all the six…

Q: 2. Solve the systems of lincar equations using the given methods. 2x - y = 5; Substitution x- 2y = 4…

A: We have to solve given problems:

Q: Verify that the equation 2 – X² = sin x has two real roots, one near x = 1.5 and another near x = 1…

A: we have to find the real root for given function.

Q: 5) (2xy -3y) dx + (x-x) dy = o

A: