Find the flux of F(x, y, 2) = (r, y, 2) across the surface o which is the surface of the solid bounded by z = 1-a - y and the ry-plane, with positive orientation. Evaluate

Q: If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

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Q: Q2: Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct to %3D 4 decimals so…

A: x-0.5-2-2x=0⇒f(x)=x-0.5-122x⇒f'(x)=1+2ln(2)22x Taking initial guess x0=0 Newton-Raphson method:…

Q: Test the convergence and divergence of the following: nin! 1. En-0 2. En=1 (2n)! 3. Ln=1 cOsnn n%3D1…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan I - 3y + 2z = 18 %3D 5x -…

A: Since there are two equations and 3 unknown i.e. 2 Rows and 4 columns but For the method to solve…

Q: 2.3 Consider the nonlinear system 1 i = y + x (x2 + y2 –- 1) sin x2 + y2 – 1 1 y = -x+ y (x2 + y2 –…

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Q: n! En=1 00 is 2.5.8..(3n+2)

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Q: 1. Prove that if f(x) is bounded and measurable on E, and c is any constant, OMNIA then S, [f(x) +…

A: Given, f(x) is bounded and measurable on ETo prove: ∫Ef(x)+c=∫Ef(x) dx+c m(E)

Q: Consider the functions f: R2→R2 given by  f (x,y) = ( 5y−3x, x2)   and g: R2→R2 given by g (v,w)…

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Q: * dy/dx=(x+siny)/(2y-xcosy) is an exact equation false O true O

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 3z1 - 2x2 +4x3 1 21+2-2x3 =…

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Q: find Numaerical Inteqration by 3-pointsta 3. Sinx (2V3 +3 Idx

A: The given problem is to the approximate of the definite integral using Numerical integration of 3…

Q: 3. Consider the quadric surface S2 : - + (y + 1)² – (z – 3)2 = 1 3 (a) Find an equation for the…

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Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: Solution :-

Q: Prove: Let X and Y be two topological spaces. Then the function f:X →Y is continuous if and only if…

A: This is a problem of topology.

Q: Estimate f(7) from the given data using Lagrange's Polyn

A: Given, x -3 1 5 5.3 9 F(x) -9 -3 0 7 15

Q: If f is a field containing an in finte humber of destinct of distinst elen

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Q: Find the equation for the plane through the points Po(5, - 4, - 4), Qo(2,0. – 2), and Ro(4,1, – 2).…

A: Introduction: A plane is a three dimensional geometrical structure. When there is a projection of a…

Q: 2) Consider the fiunction g defined by (TX/y)+ glx, y) = COS log3 (x-y) la) determine dydx

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Q: In the following figures, identify the segment that represents the line of sight, and identify the…

A: It is a Height and Distance problem and let us solve it in the next step.

Q: 6) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x* + 4x³ + 3x² - 4x - 4 %3D Count the…

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Q: az Suppose z is a function of r and y, and csc Vr² + yz = 2"e»in z_ Solve for dz and dy

A: Given: csc x2+yz=zyesin x To find ∂z∂x and ∂z∂y.

Q: Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5,…

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Q: Determine whether the Fourier series of the following functions converges uniformly or not. Sketch…

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Q: 4. JK Is tangent to the circle. Solve for x. 5. Both segments are tangent to the circle. Solve for…

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Q: Solve the following linear equations using the 5 methods: (Gaussian Elimination, Ga Inverse Matrix…

A: Gauss elimination: Given system of linear equation is…

Q: Determine whether the Fourier series of the following functions converge uniformly or not. a) f(x)…

A: We have to determine whether the Fourier series of the following functions converge uniformly or…

Q: Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5,…

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Q: Q3 By using the derivatives transformation find the transfer of the function a" (t) + æ(t) =…

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Q: if W is a subspace of a Pinite -dimansiond 1.

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Q: If a function f: D R is differentiable at a point (a, b)ED, then f is continuous at (a, b);

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Q: 2. If the product of matrices cos² 0 cos e sin 0 A = cos O sin 0 sin² 0 cos² cos o sin sin? ó B =…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = eV1--, y(0) = 0…

A: Existence of solution If f is continuous on an open rectangular interval R{a<x<b,c<y<d}…

Q: Consider the group D4

A: Given: Group D4=a,b=e=1,a,a2,a3,b,ab,a2b,a3b and a=1 2 3 4, b= 2, 4 To find : The value of…

Q: Do the following: (a) The analytical solution to this problem is given by this equation: T(x, t) =…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan -リーz=0 a + 2y - z = 6 2x ー=5…

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Q: Find the equation and sketch the graph of the surface generated by S revolved about the y-axis.

A: We are asked to find the equation of the surface generated  by the surface S revolved about the…

Q: n! 00 is 2.5.8..(3n+2) n=1 %3D1

A: We have to solve the given series.

Q: A car move with an initial veloc 60 km/h, then accelerate at 70 km/h2 along a straight road. Ho

A: Introduction: The newton-equations of motion are given by, v=u+ats=ut+12at2 Where u is initial…

Q: (1 2 3 4 5 O = \3 1 4 5 6 2 3 4 5 6 6 5). 2 4 1 3 6 (1 2 3 4 5 6' 5 2 4 3 1 6- Compute o-27 1. 2.…

A: Note: (1) The order of a cyclic subgroup generated by an element is equal to the order of the…

Q: 3 If X 1 - the value'of X" is 1 3n - 4n (a) 2 + n 5-n (b) - n | 3" (- 4)" (c) (d) None of these 1"…

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Q: Consider the curve C on the yz-plane with equation y? – z + 2 = 0 (a) Sketch a portion of the right…

A: (a) The curve C on the yz-plane is given as follows: y2-z+2=0 The graph of the given curve is as…

Q: Find the work done by F over the curve in the direction of increasing t. F = -4z i + 6x j + 7y k;…

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Q: rm of the sequence is d the common ratio of

A: Introduction: The infinite series formula is used to calculate the sum of a sequence with an…

Q: dz IV. Suppose z is a function of æ and y, and a? – y? = 2"e®y. Solve for dx

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Q: Let U be a universal set and A, B, C CU. ITEM 1. Prove: A n BCAUB

A: # as per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: 1. (i) Show that if A is an n x m matrix and if B is an m x n matrix, then A 0 is an eigenvalue of…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

A: To find the volume of a solid obtained by rotating a region (bounded by two curves) about a line,…

Q: oposition 4.21 The path components of X form a partition of X. O Each path component is contatined…

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Q: А. Determine the domain and range of f. В. Draw the contour map of f using four values of k. С.…

A: This is a problem of multi-variable calculus.

Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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