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Q: Choose two figures which are topologically equivalent to eaci

A: Two figures are known to be  topologically equivalent if  we can transform one figure into the other…

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5,x=4 , and…

A: volume of the solid of revolution about x axis of a curve y=fx, from x = a to x = b is given by…

Q: Describe the graph of the equation. r = -8i+ (1 – t² )j +t k O It is a parabola in the plane x = -8,…

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Q: Choose two figures which are topologically equivalent to each other 25

A: Solution :-

Q: You are given the final simplex tableau for the dual problem. Give the solution to the primal…

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Q: C. Interpret the given the graph below. Enrolment for Schools A and B for the past four years 600…

A: Given: Graph of enrollment for schools A and B for past four years is shown below: To find: a) In…

Q: A vector field representing wind speeds is given by v = æy³ i + 3x³y³j. %3D A walker can take one of…

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Q: -3)K

A: Here we use vector differentiation

Q: Prove that where e, > (1,0)"

A: Prove that     conve1, e2, -e1, -e2=x∈ℝ2 : x1+x2≤1 where e1=1, 0T , e2=0, 1T.

Q: Prove that T is the discrete topology for X iff every point in X is an open set

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Q: Find the area of the region using a double integral. The region bounded by y = 5æ®, 5x + y = 10, and…

A: The graph is drawn using DESMOS graphing calculator.

Q: b.) FIND THE AREA INSIDE THE CIRCLE r= 2 cas e and OUTSIDE THE UNIT CIRCLE r= |

A: We have to find the area inside the circle r=2cosθ and outside the unit circle r=1. The required…

Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Let S = (2x, 1 - x, x2 +x 1,x+ 1}. Then PA P1 O sis a basis for the nbove Sis a basis for the above…

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Q: Which of the following is four-point geometry?

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Q: Which two lines do not pass through B nor F? C 3. D EDC DBF о СВЕ ACG

A: Explanation for correct option: The lines EDC and ACG does not pass through B nor F. Hence the first…

Q: Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A: The area of the cross section is computed as follows, The cross section contains half circle and…

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Resolve the following CNF's to falsm. x, y, z are variables and A is a constant. { P( f(x), x), (…

A: Let x, y, z are variables and A is a constant { P( f(x), x), ( Ø P(z, y), Ø P(y, A) ), P(y, z) }

Q: Let A and B be any two subsets of a metric space (X, d). Then (1) A is a closed set. (2) If AC B,…

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

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: Evaluate using Laplace Transform: f(t) = | tcos3 3t dt e-4t

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Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: (4) The equation of the tangent plane to the surface In = z²(x – 2y) + 3z +3 at (4, 2, –1) is 2y

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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 1 X -2 -2 -2 X': %3D…

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Q: Compute the determinant of the matrix -1 2 0 0 -1 -1 1 1 and find its inverse if it is invertible.

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Q: Evaluate using Laplace Transform: tcos 3t dt e-4t f(t) =

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 64–x2 •124–x²-y² x dz dy dx -4+x²+y²

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Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

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Q: YPLEDIS Company wants to mix exactly 600 pounds of a special kind of dog food; There are two…

A: Let  x1: amount of protein P1x2: Amount of protein P2 the objective is to minimize the cost…

Q: Skatch the curve by aliminating the paramater, and indicate the direction of increasingtatt-0. = Vi.…

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Q: 3 Show thot tfe fundion fae Ax +26T* +C with A = AT E IR E IR", CE IR is strongly Convex if and only…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y= { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: 5. Find the number of faces in the planar graph given below. d.

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Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

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Q: 2. A chemical manufacturer produces three chemicals: A, B and C. These chemicals are produce by two…

A: Let the process A runs for x hours and process B runs for y hours the objective function is…

Q: Solve the given ODE using Laplace Transform 1. y" – 4y' + 3y = 6t – 8 ; y(0) = 0,y'(0) = 0 %3D

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Q: L{te¬3t cos 2t}

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Q: [x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69…

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Q: Calculate the integral of 2 dt

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Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = | 3 dt 8. e2t

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: In how many ways you can choose 8 of 32 playing cards not considering their order?

A: The combination of a number of objects is their arrangement without considering the order in which…

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

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Q: 1. Given the sum and difference between two vectors A +B = -3ax + 5ay – 4az А - В %3D ба, — 2а, -…

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Q: sin(2t) cos(3¤

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Q: When it is sunny, Joe's ice cream truck generates a profit of $547 per day, when it is not sunny,…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: If f(x) -x-4,0 13, find the Riemann sum with - 6, taking the sample points to be midpoints. What…

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