Consider the figure below, where AB and AC are secants, and CD and BF are chords. B D. E F A' Suppose BC = 110° and DF = 40°. Find the measure of

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A: The main objective is to check {p1,p2,p3} linear independent and basis of P2.

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A: We want to find given area.

Q: (7) Show that k± ds det T d T dt ]. DIFFERENTIAL GEOMETRY k is the curvature Here is T +9-c |q -c| T…

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Q: z = 1- e"

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Q: а. f(x) = 1– 4x? 4 b. f(x) = 2х + 3 X С. f(x) .2 2х + 1 (2х — 1)" |

A: we have to determine the interval of convergence.

Q: Let L(y(t)) = Y(s). The Laplace transform of another solution to the second-order differential…

A: Given solution is Ys = 5s2 +s -1s3 +9s  This can be written as Ys = 5s2 +s -1s s2 +9          = -19…

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Q: IÎ z= ě Y x = Vuv Find dZ üs ing chein yule.

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Q: Find the homogeneous system response yh[n] 5y[n] - y[n-1] - y[n-2] = x[n] X[n] = 5e0.5t

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Q: Use the residue theorem to show log a dx log 2. 4+ x2 2

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A: Given that Number of patient died in ICU =3% Number of patient left in ICU =97% Number of patient…

Q: Answers must be integer Find a + b + C+d+ e. ;0sts号 : 풀 <tSmis: -t ;*<t< 27 The Fourier series of…

A: We have to find the value of a+b+c+d+e

Q: If R is the region enclosed by x- axis, y = -3x and x = -2, then evaluate the following double…

A: Let us consider a function z=f(x,y) then the double integral over the region R is denoted as…

Q: Let B be the basis of IR? consisting of the vectors and let C be the basis consisting of {HE) Find a…

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Q: Find the inverse Laplace transform following: 0.2s+18 1. s+3.24

A: 1. We will find the inverse Laplace transform of  0.2s+1.8s2+3.24 i.e., L-10.2s+1.8s2+3.24

Q: Example:1 Verify Cayley-Hamilton theorem for the matrix A= .2 41 and find its inverse. 3.

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Q: Solve the following initial value problem. y6) - 2y" +y' = 9 + 5x e *; y(0) = y'(0) = 0, y''(0) = 1…

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Q: 10. For the differential equation x²y" +7 xy' + 25 transformation? 3D0 what is the auxiliary…

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Q: onsider the region bounded by y = x^3, y = 8, and x = 0. Find the volume of the solid using…

A: Given: A region bounded by y=x3,  y=8 and x=0. To find the volume of the solid using the cylindrical…

Q: What proof techniques may be used to prove a result for the number of objects of S that have none of…

A: To determine: The proof techniques that may be used to prove a result for the number of objects of S…

Q: 1. Find the areas under the normal curve. A. Right of z = 2.13 B. Left of z = -1.03 C. Right of z =…

A: Right of Z=2.13 P(z&gt;2.13)=? P(z&gt;2.13)=0.0166 from z-table

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Q: Find the Laplace transform of the following functions +6 + 8x dt Initial Conditions are 0

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Q: 1. Vi

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Q: 2 Evaluate V4-x? Jo J2- dy dx using polar V 2x-x2 Coordinates.

A: Solution:-

Q: (7) Find the Taylor series expansion and radius of convergence of the following functions at z = 0.…

A: Given :  The given function is ;   fz = z6z2-1z+1. To find : We have to find the Taylor series…

Q: Express in cylindrical components: (a) the vector from C(3, 2, –7) to D(-1, –4,2); (b) a unit vector…

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Q: Consider the given system of linear equations as shown: 5x - 2y + z = 8 -X + 6y + 3z = -3 x -3y + 5z…

A: We will use the Guass-siedal Iteration Method to solve the given system of equations for which we…

Q: Find the inverse Laplace transform following: 0.2s+18 1. s+3.24 4s+32 2. s2-16

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Q: Evaluate f. F dS where F(x,y, z) = (4x³z, 4y³z, 3z*) and S is the surface of the solid bounded by…

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Q: Prove that the function f(x1,x2) = In (e*i+= + eV=i+1) is convex over R².

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Q: Derive finite difference expression for 3f¡ -4fj-1 + fj-2 + 0(Ax²) by using Taylor series approach.…

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Q: 8. Let X be a set and B be a basis for a topology T on X. Then T equals the collection of all unions…

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Q: 12. Suppose that {an} is defined recursively by a, = a - 1 that ao = 2. Find az and a4.

A: Given relation is an = an-12 - 1 With a0 = 2

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Q: Let R be the region bounded by the g SET UP an integral that can be used to find the v as its base,…

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Q: For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the…

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Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

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Q: = 2* and the chord joining the poin Ans. 5- 3/n Find the area between the curve y (0,1) and (2,4).…

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Q: Given, w = f(z,y.2) = y – Vz?+?. „2 (x, Y, z ) = Y Sketch the level surface for w = 0. %3D

A: To sketch: The level surface of the curve w=f(x,y,z)=y-x2+z2 for w=0.

Q: Let P3 is the vector space of polynomials of the degrees3,Consider the polynomials…

A: Given :  P3 is the vector space of polynomials of degree less than or equal to 3. To prove :  We…

Q: Estimate the value of x,y and z of the linear equation below using Gauss Elimination method. -4x +…

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Q: Let G be a solid shape enclosed by a surface x*2+ y*2 = 1, z = 0 and z = x*2+ y*2+ 1. 1) Draw the…

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Q: 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3* = 4* has a…

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Q: a. Show that the particular solution is y = 3x2 (In xº + x³ + 2). b. Use the 2nd, grd and 4th…

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