2.4 In the diagram below, O is the centre of the circle and PTRS is a cyclical quadrilateral. Prove the theorem that states that P+S = 180

Q: Solve the value of x in the system of equations. х — Зу 3z =- 1 = - 1 y-z = 0 а. t b. - t с. 1 — 3t…

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Q: Given the tree below, find the following. e) Which vertex is the parent of h? f) Which vertices are…

A: 1. d is the parent of h 2.sibling of o is p 3.ancestors of m are b,g,e,f

Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

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

Q: Evaluate: , asirnadz using a 3rd level (k=3) Romberg integration. Round off to 6 decimal places.

A: Use the following formulae, to estimate the definite integral ∫abfxdx by the Romberg integration…

Q: 1. Write the following function using unit step functions and then find its Laplace transform: e2t 0…

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Q: Sketch the region of integration and reverse the order the integration: S dy f(x,y)dx -1 - 3-2 y

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Q: For the differential equation (x? – 9)y" + (x- 3)y' + 2y = 0, a regular singular %3D point is: x-9…

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Q: A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine…

A: We will find arc length and use it to parametrize the curve

Q: The weights of 40 pupils are shown below 35 43 52 39 62 54 58 37 44 62 43 48 53 42 55 37 45 50 40 46…

A: Making use of Tally method.

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Q: " IF R= 5B-2C find the value of the following r21 10 13 16 r31 11 #14 r22 #17 r32 12 15 r23 18

A: To find the elements of the matrix R .

Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

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A: Solution:-

Q: 23-24. The test scores of 20 students are listed below. Find the 34th percentile (2 pts) 36 45 49 53…

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Q: Test the series for convergence or divergence. Please provide detailed solution. (-1) -1 Σ 5+3n a)…

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Q: The one dimensional wave equation describes how waves of speed c propogate along a taught string. It…

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Q: 10. From a partially destroyed lab data, following results Lines of regression are: were retrieved:…

A: Solution:

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: We have to use Langrages Multipliers Method to find the minimum distance from (0,c,0) to a point on…

Q: Find the moving trihedral and the curvature at any point of R(t) = (In(6t), e²-t,5t). %3D

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Q: [2y ++e* (1+}]dx + %3D

A: To solve2y+y2x+ex1+1xdx+x+2ydy=0

Q: 8. x³y" +x² y" – 2x y + 2 y = x³sinx

A: Solution :-

Q: 5) f(t) = f(t) = e¯2t/1+ sin2t

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Q: 3. (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b)…

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

Q: By rewriting the summation of the power series E(n- 1)C,„,x" + E, 2nC,x-1 +E C,x+1 = 0, we obtain:…

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Q: 3 4

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Q: (5) For the given impedances, z, = 10 + jo N, z, = 0 – j10 N and z, = 10 + j1o N, Determine, z- =…

A: Consider the given impedances, z1=10+j0z2=0-j10z3=10+j10 here, we need to find to find the value of,…

Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

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Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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Q: Use Runge-Kutta of order two with h = 0.5 to obtain an approximation to y(0.5) given that y is the…

A: For first part the solution using second order Runge kutta method is given by using two different…

Q: if was Fife(R)R² Lanearidentifier Teatbxt€ X)= ca,ogb rand father o kert @ EmT

A: We have to find the (1) KerT and (2) ImT

Q: Use the method of asymptotic expansion to find the asymptotic solution of the differential equation.…

A: We will use the basic knowledge of ordinary differential calculus to answer this question completely…

Q: Solve the system of differential equations - 5x + Oy y' = – 9x – 2y ly' x(0) = - 1, y(0) = 0 x(t) =…

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Q: Q/ USING TALOR SERIES FIND HE FIVETERMS FOR FUNCTION: F(X) = COS(X) AT a = n\4 %3D

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Q: Let V R°, the vector space over R of dimension 3. (a) Give an example of a subspace of V. (b) Write…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: Determine the percentage of data values that lie between the upper and lower quartiles .

A: In a box-plot the left end line of box denote lower quartile, the right end line of box denote upper…

Q: 8. (y-2x)dx-x(1- xy)dy 0 Ans.

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Q: A' D A C' E b В H a

A: Consider △ABC and △HEC,

Q: Let C be the curve represented by the equations 5t, y = t, (0 < t< 1). In each part, evaluate the…

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Q: Determine the general expression for the four roots of V3 – j . O V2cjs (- + 글세), k=D 0, 1, 2,3 O…

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Q: If 1 4 and v2 are eigenvectors of a matrix A corresponding to the eigenvalues A1 -4 and X2 = 1,…

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Q: Solve each nonhomogeneous 2 3 1. 3 2

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Q: What is the distance between the line with Cartesian equation x-2 = y-8 = z-3 and the line with…

A: If first equation of the line parallel to the vector V1 through the point P1 and the second equation…

Q: Solve the integral equation X = Jo e*-fg(t) dt.

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Q: 2. Let R be the relation on Z→Z such that ((a,b),(c,d)) = R a+d =b+c. Show that R is an equivalence…

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Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х —…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: In(x®y²) = x² +y³

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Q: By fixed-Point Iteration, evaluate f(x)=x² -x-e*starting at x1 = 0.

A: Solution:-

Q: (t+1 ,0<t <1 f(1) =- le', t21

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