Show that the first graph below can be contracted to the second graph.

Q: AAAAAA AAAA 30. If the power series an(x – 4)" converges at x = 7 and diverges at x = 9, which of…

A: We will find possible radius of converges and then interval of converges ,

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

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Q: 3. f(x) —D ех — cosx e* - 2 COSX |

A: Here ex-cos(x)-2=0Let f(x)=ex-cos(x)-2Here x 0 1 f(x) -2 0.178 1st iteration :Here…

Q: ion Method upto 8 iteration? 354 3737 3754 3798 nriou

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Q: A spanning tree of a connected simple graph G is a circuit-free subgraph that contains all the…

A: The following steps are used to find the minimum spanning tree by Kruskal's algorithm. Tabulate all…

Q: Consider the permutation (1 2 3 4 5 6 \3 4 5 6 1 2 7)* 1. Express as a product of disjoint cycles.…

A: Given Permutation: 12345673456127

Q: Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 -1 8 11 = 8, x1 =…

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Q: Find an interval for a, the leading coefficient of the equation of a parabola, such that the…

A: A parabola is a curve equation in which a point on the curve is equidistant from both a fixed point…

Q: There is no closed form solution for the error function erf(a) = 2 e-x´dx Use the (a) two-point…

A: Solution: Gauss‐Legendre quadrature is used to calculate integrals…

Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

A: This is a problem of complex analysis.

Q: A scientist would like to clear his liquid sample of sediment by pouring it through a cone shaped…

A: Introduction: In mathematics, a differential is an expression based on a function's derivative that…

Q: Determine all the singular points of the given differential equation. ( -2) x+(t+1)x'-(t-2)x=0…

A: For a  general homogeneous second order linear differential equation y′′+P(x)y′+Q(x)y=0 If either…

Q: Show that (p a q) → (¬ p → q) is a tautology. Show that (p → q) ^ p and (q ^ p) are logically…

A: Truth table is used to show the two statements are equivalent

Q: Classify the quadric surface. 22 = x2+ y? O hyperboloid of two sheets O ellipsoid O hyperboloid of…

A: Solution :-

Q: ...] A particle moves such that its position at time t is given by +++)i+ G + 5° – t - 5) i+ ( -* +…

A: "Since you have asked multiple questions, we will solve only the first question. For the remaining…

Q: Evaluate the surface integral (x + y + z) dS where S is the part of a plane parametrized by S: r(u,…

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Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

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Q: 2. Prove that if a = b( mod r) and c = d( mod r) then a – c= b – d( mod r)

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Q: Using t = x +1, find the parametric equations sets that represent the graphs of the rectangular…

A: y=2x-1As t=x+1⇒x=t-1⇒y=2(t-1)-1=2t-3  The parametric equations are x=t-1, y=2t-3…

Q: Evaluate the integral / (4x + 18y)dx + (27x – y)dy along the parabolic arc y = 2? from (0,0) to (1,…

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Q: 1. 4x + 2y +z = 11 -x + 2y 3 2x + y + 4z 16

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

Q: Consider the following transfer function, with U(s) as a unit step input. What is the correct…

A: Inverse Laplace transform

Q: Question 8. Define a relation - on the set of rational numbers Q by a ~ b iff Ja| = |b| (a) Prove…

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Q: Determine the truth value of the statement and prove it on a sheet of paper: D = set of whole…

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Q: If R(t) = (3t 2 -t) i + (2- 6t) j - 4t k , find (a) R(t) dt and (b) R(t) dt.

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Q: Exercise 31 Let C be the binary code with generator matrix [1 1 0 0 1 1 0] 10 101 0 1 G =|1 0 0 III0…

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Q: Question 7 If the heights of women are normally distributed with a mean of 64 inches and a standard…

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Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

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Q: Let L= D^2(D^2-9).  Solve for Ly(t) = -2t(^2)*e^(3t) + e^-3t for t  is an element of (-inf,inf)

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Q: Question 1 1 -2 -1 1 2 -1 Let A= and assume that 1 2 -1 -2 0 -1 100 0 1 1 -1 0 0 0 0 0 0 -2 1 1 -1 B…

A: Given that                    A=1-21-1012-1012-10-1-21 To find: the basis of null space of A.

Q: If A = 2xz 2 i - yz j + 3xz 3 k and ∅ = x 2 yz , find (a) ∇x A, (b) curl (∅A) , (c) ∇ x (∇xA), (d) ∇…

A: To find the above questions on vector

Q: What best strategies can you recommend for two competing stations for each station to maximize the…

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Q: If A = yz(^2) i - 3xz(^2) j + 2xyz k , B = 3x i + 4z j - xy k and ∅= xyz , find (a) Ax (∇∅), (b)…

A: Since you posted a question with multiple sub-parts, we will solve first three sub-parts for you. To…

Q: luate the triple integral /// V² + y² + z² dV over the spherical shell E 9.

A: Integration using spherical coordinates

Q: -) Consider the initial value problem Vy - 2 t- 3 Does Picard's Theorem guarantee local existence…

A: This is a problem of differenetial equation.

Q: By fixed-Point Iteration, evaluate f(x) =x -x-estarting at x1 = 0. %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve X4- Note: Round off your answer to 4 decimnal places only 16 1 -5 4 X1 3 -4 -3 -2 -8 -1 X2 -7…

A: Solution

Q: what is the notation in sequences? Expaln it.

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Q: 210 -1 0 1 1 31 Let A = 2.1 Find the eigenvalues of A. 2.2Find bases for the eigenspaces of A.

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Q: Use Green's Theorem to evaluate the line integral (y – x)dx + (2x – y)dy for the given path. C: x =…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: 2. The sum of the digits of a four-digit number is 23. The ones digit is 4 times the thousands…

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Q: Use the factorization A = PDP - 1 to compute A", where k represents an arbitrary integer. а 11(b -а)…

A: 1st we will derive a formula for Ak and then find its value using that

Q: Represent the following equations in R? by a vector-valued funetions. (a) (a-h) + (y - k) = r (r-h)…

A: We will use vector valued function of standard equation  x2+y2=a2 rt→=a cost i→+ a sint j^    i.e.…

Q: Attempt 3 A net is dipped in a river. Determine the flow rate of water across the net if the…

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Q: Obtain the Fourier series of : f%) = cos 2x, weth mter val -IL<x 21e, ~ Graph the %3D diagream…

A: This is a problem of Fourier series.

Q: 18. Evaluate L (s² + 1)²

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Q: Destiny runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 3 ounces…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

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Q: It is estimated that z months from now, the number (in thousands) of out-of-state cars on a ferry…

A: