1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that ¢ F dr = length of C.

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Q: 1 1 3. Find the sum of the following convergent series: 2" (п+1Xn+2)

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A: The answer is given below

Q: Nas for Wis O {(1,5,0,0)} O ((5,1,0,0).(0.0,1.0).(0,0,0.1)} O (1.5,0,0).(0,0,0.1)} O(1.5.0,0).(0,0.1...

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Q: Give an example where | f(x)dg(x) exist even through f is unbounded on [a, b].

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Q: a) Find the inverse z-transform of the following: i. Z-1z (z²+4z+1) 1 (z-1)4 4 Z-1 Z(z+1ª) 2 (z-13)3...

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Q: Consider the System: 2w + X + 2y + Z = 6 -9x + 9z = 18 %3D - y - 5z = -13 - 3y %3D Solve using the G...

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Q: Solve the following Inequalities and graph the solution set on a real number line. Please show all w...

A: Solution :-  

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Q: Let V; = {x € R | -÷ <x <: for each positive integer i. ÚV; = ? а. %3D i=1 4 b. nV; = ? i=1 c. Are V...

A: Since you have asked multipart question, we can solve first three sub-parts for you. If you want oth...

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Q: Solve the initial value problem. dy y = xex, y(1) = e +5 dx X The solution is y(x) =

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Q: Evaluate L{e sin at - k (s -a) +k? ' 2(s–a) s+a (s+a) +k? 2(s+a) a (s – k) – a² 2(s–k) D. (s+k) +a² ...

A: It is known that: La·ft+b·gt=a·Lft+b·LgtLeatsinbt=bs-a2+b2Leat=1s-a

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Q: 75307 mod 735 = O 600 O415 O 455 O 100

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Q: Sec. 3.3 In each of the following linear programming problems, do the following: а. Define variables...

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Q: Solve the IVP 3 d.x dx a(0) = 1, = 2. dt \t=0 dt2 dt

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 3. Find the general value of z in the complex number: (Note k = any integers) etz = 4v2 + j4v2 O A. ...

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Q: Q.3. Interpolate the expectation of life at the age of 22 from the data given below by applying Newt...

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Q: Evaluate L{r'e. (a-b)! (s+a)** (a+b)! (s - m)" А. a-b+1 a+b+1 b! (s –R+a)** b+1 S-T- a! D. (ab)! E. ...

A: The Laplace transform is applied to transform a real-time function into a complex one. It is a type ...

Q: 4.13 Let {u1,u2,..., un} be any orthonormal basis of (where F R or F = C). Show that %3D Euju; = 1. ...

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Q: 9+10

A: Solution:- 9+10 = 19

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Q: 5. Write out the form of the partial fraction decomposition of the integrand (Do non find the consta...

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Q: The set C of all complex numbers, with the usual operations of addition and real scalar multiplicati...

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Q: Problem: Determine the particular solution of y"–3y'+2y=4e²"; y(0)=-3,y'(0)=5 using Laplace and Inve...

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Q: y" + 4y = 0 ; y(0) = 2,y'(0) = 2 %3D

A: Some properties of Laplace transform  Ly''=s2L[y(t)]-sy(0)-y'(0) L0=0 L-11s-a=eat  

Q: Find a 3 x 3 matrix A with the following property: if T(x) = Ax, then the range of T is the xy-plane...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: You buy a car for $26,450. Because you now have reliable transportation, you are able to obtain a jo...

A: Solution:      Given that