3dx xV4-x²

Q: Consider a 2-space with the following metric ds² = rdr² + ydy? (a) Calculate the nonvanishing…

A: Given,A 2-space metric: ds2=x dx2+y dy2To find: a) Connection coefficients, Γ111 and Γ222…

Q: 2 2. Complete the square of the denominator and use the s-shifting theorem to find the inverse…

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Q: 21. lim x2 – 2x – 8 = 6 - - x 4 x – 4 -

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Q: 7n -n - 2 3n2 +n+4 ot test to determine whether the series converges or diverges.

A: We have to solve the series using root test.

Q: consecutive integers represent the lengths of the sides of a right triangle.

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: siven: ALMN; mLL > m2N rove: MN > TM

A: We have to prove that one side is greater than other side in given triangle.

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: 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: SEGMENT PROPERTIES Directions: Solve for x. Circles may not be drawn to scak. 8. 9.

A: Introduction: If 2 secant segments square measure drawn to a circle from AN exterior purpose, the…

Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler method, numerical solution of the differential equation

Q: Logical Equivalence 1. Show that p J (q V r) and (p l q) V (p l r) are logically equivalent using a…

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Q: 1. Evaluate the following integral: L(1-e-2*)dx (a) analytically; Use Google sheet for the…

A: Given integral ∫031-e-2xdx

Q: is a function of x and y, z arddns (r and asc, 24evinx Solve for dz and dz

A: We will use chain rule of partial derivative and also for implicit function

Q: Problem Consider the 2n x 2n matrix On -In On InER2nx2n J := A matrix SE R²n×2n is called a…

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Q: 3:) Consider the function g defined by g(x ,y) = cos( mxVy) + log3 (x-y) (b) calculate the…

A: Given,g(x, y)=cosπxy+1log3(x-y)To find: Instantaneous rate of change of g(x, y) at point (4,1,2) in…

Q: identify the surface defined by the equation and match it to the appropriate graph

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Q: How many solution does the linear system 4r - 8y = 9 and 0.8z - 1.6y = 1.8 have? %3D

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Q: tind the remainder when 53751 is divided by 11

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: d'y dy Consider the second-order equation +p + qy = 0, where p and q are positive. dt 5. %3D dt2 (a)…

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Q: You MUST evaluate the resulting integral by hand, and clearly show all your working. O 5. Use the…

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Q: 1. Use the linearity of property of Laplace transforms and the table of Laplace transforms on MyUni…

A: Solution

Q: LDE with Constant Coefficients dªy dx4 + 2y = e-* + xe-* dx dx2

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Q: 4] Find and solve the value of X in the equation: 5cosX = 4 - X3

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Q: 2. (i) Let A be an invertible matrix. Assume that A = A-1. What are the possible values for det(A)?…

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Q: . Use the Euler , improved Euler and Runge-kulta. methools to solve the fellowing ODES: d. ý <…

A: We can solve this by using given information

Q: Predicate Logic 1. Suppose that predicates and individuals are defined as follows: S: should be…

A: Answers are written below. Hope this is useful.

Q: [C] Solve the following linear programming problem using simplex method: Maximize Z = 45x1 + 80x2…

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Q: Two circles whose radii are 12cm and 16cm, respectively intersect each other. The angle between the…

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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: 3. If the radius of the circle were 2, would that change the value of the sin, cos, tangent for each…

A: Let us write the reasons of the circle based problem in the next step.

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

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Q: 6. 'The mapping T :R³ → R? is defined as T (x, y, z) = (x + 2y+ 3z, x + 3y + 2z) is a linear…

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Q: Compute the left regular representation of the group G = {e, a, b} given by the group table below by…

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Q: What is the surface area? 4 in 3 in 2 in square inches

A: We know, surface area of cuboid= 2(lb+bh+lh) unit2 Where, l= length              b = breadth…

Q: Matrix C and vector b are given below. 1] 0 2 -3 4 -1 1 C = 1 b = -1

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Q: Find the volume and total surface area of each solid below. 70° 70 а. 2. 3.

A: To find the volume and total surface area of the given solid.

Q: B. Determine which of the following sets W is a subspace of Rª for the indicated value of n. Justify…

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Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis. 3. Find the area of the loop of the…

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Q: Find the flux of F(x, y, 2) = (r, y, 2) across the surface o which is the surface of the solid…

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Q: 3. Find the arc length traced out by the endpoint of the vector-valued function 1 †(t) = t cos t î +…

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Q: 4) Consider the function g defined by ga, y) - cas (T x Jū ) + 77X logg(x-y) (c) in what dire ction…

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Q: dY Consider the linear system: dt Y. (a) Show that the two functions Y1(t) = () and Y2(t) : 2t) are…

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Q: 1. Suppose that ACX is connected. Show that A is connected. Hint: Suppose we could write A = FUG,…

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

A: We have to solve the given series.

Q: 4 Find the arc length of y = (**)' + over [1,2]. 2(x+5)? (Use symbolic notation and fractions where…

A: Arc length of the curve

Q: II. Consider the function g defined by 1 g(r, y) = cos (T2 T) + log3 (2 – y) Do as indicated. . In…

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Q: Use Stokes' theorem to evaluate dr. Assume C is oriented counterclockwise as viewed from above. F=…

A: To use the Stokes' theorem to evaluate the line integral.

Q: (2+i)Z = 3+4i Y-Z = 2+i

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Q: Use the above formula to write each of the following limits as an integral (a) 53 + n3 lim n00 j3=…

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