linear transformation from a finite dimensional inner product space V to itself is shew ymmetric if they commateles

Q: Find the flux of the vector field F(x, y, z) = across the surface σ, where σ is the surface of the…

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Q: S-* cos(x²)dxdy = Q2): Show that 1-y2 %3D 6.

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Q: Question 13 Evaluate the Laplace Transform: f(t) = sin 3t(0 <t < n) 3(1-е ) O F(s) = s2 -9 3-se O…

A: Solution:-

Q: tate whether the given solution is TRUE or FALSE. the ed 1. How fast is the volume of a cube…

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

Q: Find the laplace transform of the following: a.) f(t) = teatcosbt b.) f(t) = 7t + 6et - 2et - 10…

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Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

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Q: Evaluate the Laplace Transform: f(t) = e-t (ao + a¡t+...+ ant" )

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Q: Use only the Stokes’ theorem to evaluate  integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the…

A: Solution: given  F=-z-y,x-z,x-yand C is the intersection of ; z=x2+y2 and z=y First, we solve the…

Q: Solve the equations 2x - y + 3z = -3, 3x + 3y – z = 10, -x - y + z = -4 O x = 2, y = 1, z = -4 O x =…

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Q: Solve the following problem over the interval from x = 0 to lusing a step size of 0.25 where y(0) =…

A: given curve  dydt=1+4ty step size h=0.25 y0=1 from x=0 to 1 (a) analytically  use seperation of…

Q: 5. Determine the equation of the plane that contains the point (0,3,0) and the X = 1 line y = 2t z =…

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Q: 12 is 40% of what number

A: suppose 12 is 40% of the number x. Then x×(40100)=12  when cross multiplied  and solved we get  x=30

Q: At the local hospital there is 1 nurse for every 10 beds and 2 nurse assistants for each nurse. How…

A: Given that,At the local hospital there is 1 nurse for every 10 beds and 2 nurse assistants for each…

Q: Suppose n and m are integers. Prove by contrapositive: If (n + m) is an even integer and (nm) is an…

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Q: 1) (1, 120°) 90° 120° 60° 150° 30° 180° 0- 210° 330° 240° 300° 270° 4. 3. 2.

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Q: (26) Let f(x) = x?e=*. For what value(s) of x does f(x) have a horizontal tangent? (a) Find the…

A: ⊙   A curve will have horizontal tangent at a point if its first derivative is zero at that point. ⊙…

Q: III. In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: Given information C = 100 + e-EPF where, C = Consumer Price Index E = Gross Domestic Regional…

Q: Given: region R below bounded by the graphs of y = Vx – 3, y = 9 – x, and y = 0. (7,2) R (3,0) (9,0)…

A: As per our guideline,we are supposed to solve only first three subparts. Kindly repost other subpart…

Q: azu Q5) Find u such that ax2 with u(x,0) = 0.5x2, u(x, 10) = 0, u(0, y) = 0, = 0 %3D u(20, y) = 1…

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Q: There are two alternative Plans for operating a high-speed inter-city rail service. In Plan I, the…

A: Given, Plan I and Plan II are given.Trains are uniformly distributed throughout the day.To find: A)…

Q: 7. (a) Shade the region in the complex plane defined by {z € C: |z+2+2i| < 2}. (b) Shade the region…

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Q: TRUE OR FALSE 16. The exclusive disjunction of -1 <1 and – 1+1 = 0 is true. 17. A conditional…

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Q: "rove that function f(x, y) = is a convex function. For this purpose, compute the Hessian matrix of…

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Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: Given the vector valued function r(1) = (2e' )i + (1 – e²")j a. Determine the unit Tangent and…

A: Given: rt=2eti + 1-e2tjWe know that, unit Tangent Tt=r'tr'tnow, r't=2eti + 0-2e2tj         r't=2eti…

Q: Show first that (n – 1)!2 (2n)! 3(2) = 3 2 n=1 To evaluate the value of the series on the right-hand…

A: We have to show :      ζ2=3∑n=1∞n-1!22n! using the Taylor series     arcsin2x=∑n=1∞22n-1n-1!22n!x2n…

Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: 09. lim, „[-7(csc Tx) (Inx)]

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Q: U (at) =U ( 5,t) = Hiws Solve Utt = 16 Uxx %3D 4 u (5,t)=o 二D U t CX10) = o u (X, o) = X (5-X

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Q: A job shop consists of three machines and two repairmen. The amount of time a machine works before…

A: Solution:Let us denote by  X(t),t≥0 the number of machines that are down.It is a birth-death process…

Q: Since question b has 5 parts to it its still 1 question

A: Given that,y=48×0.99twherey is temperature of liquid in degrees celsiust is time in minutes. The…

Q: Theorem 2. Let G, and G, be two groups. Let G = G,x G2 H = {(a,e,)\a e G} = G, x{e,} %3D and H, =…

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Q: If l,, l2, and l3 are nonconcurrent lines, prove that there exist three points. Exactly one each…

A: Three or more points are said Lto be collinear if they all lie on the same straight line If l1 , l2…

Q: Compute backward difference approximations for the first derivative of the function, y = log(x² +…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: Evaluate the multiple integrals of the above problem using single applications of Simpson's 1/3…

A: To evaluate the triple integral ∫-44∫06∫-13x3-2yzdxdydz using single application of Simpson's 1/3…

Q: Find the equation of the circle of curvature of the curve y= 2x* – x at its minimum point in the…

A: The equation of a circle is defined using the formula: (x−h)2+(y−k)2=r2,where (h, k) is the center…

Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1 , y(3) = 2e* – e? h = 0.5 %3D…

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Q: converges. Find the following. lim f(x) a) Assuming it exists, 00 lim f'(x) b) Assuming it exists,…

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Q: Determine if each function is injective, surjective or bijective. Give one counterexample for each…

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Q: 11 Solve b initediffrencemethedt

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Q: QUESTION 1 Find an integer x between 220 and 260 that satisfies x = 39^123 (mod 41). Your answer…

A: We need to find integer x between 220 and 260 that satisfies x = 39123 mod 41 Clearly , 39 and 41…

Q: Radius of curvature at any point on the curve x = a (0 + sin 0), y= a (l – cos 0) is (a) 2а сos (b)…

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Q: 4 5 0 If A = 6 7 3 and B = 0 10, 1 0 0 1 2 5 00 1 What is A timnes Bequal to? 4 0 0 07 0 005 A. B. 0…

A: Here, we see, B is the identity matrix of order 3. i.e, B = I3x3 So, AB = AI3x3 = A

Q: Compute forward difference approximations for the first derivative of the function, y = e*cos(x²),…

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Q: Complete the proof using only set identities and definitions. Suppose A, B, and C are any sets. Then…

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Q: cheby Sher Polynomiels

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Q: I. Show that the function ƒ defined by (x, y) = (1, –1) f(r, y) = { r² + y (x, y) # (1, –1) x+ y is…

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Q: nin nax D1 26 101 nin nax D2 42 82 nin nax D3 31 84 10 20 30 40 50 60 70 80 90 100 110 Which of the…

A: Let us solve the given question in the next steps.

Q: For the following matrices: -3i 1+ 2i] 3 = \2-! 1+i 1- 2i A = [, c =\, +3i -i B = -2 -i -1+2il – i…

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Q: Can you include the graph for this? Thanks!!!

A: The graph for the given function and its Fourier series are as shown below.