Write and simplify an expression for the area and perimeter of the rectangle,which length is equal to {5 and width is equal {5-10

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Q: z- 7x+ y = 2 , 2y + x-z 6 , 3z = 0 use the inverse method to find x,y,z 6)

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Q: Graph the solution set of the following systems of linear inequalities. {5? + ? ≤ −6 2? − ? ≥ −1

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Q: The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the mi...

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Q: n >0 Let f: Z→ R be a map f (n) = Show that f is a continuous injection Z →R but no n<0 an immersion...

A: We will use the basic knowledge of topology to answer this question properly, in detail.   Recall th...

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} ...

A: Given function is f(t) = cos(t),0 ≤ t &lt; π0,t ≥ π

Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*...

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Q: Consider the ODE /(t) = 2t - 2y(t) +1 (i) Find the general solution of the differential equation (ii...

A: Given DE is  y'(t)=2t-2y(t)+1......(1) (i) We find general solution of DE (1).

Q: Given the following points: P (1, 0, 5), Q(3,5,6) and R(-1,2,8) makes up a triangle. Find the follo...

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Q: B: Represent the region shown in figure (2) by double integrals of order dydx, dxdy and rdrde. y = V...

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Q: a) Find the Taylor series representation for f about x=1.5 that is valid for all x E (1,2) -Use the ...

A: This is a problem of Taylor's approximation and Application of Differential Calculus.

Q: 2. Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 2, (v, w) = -6,...

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Q: Let f(T) and g(T) be polynomials in Q[T] whose gcd in Q[T] is 1. Show that 1 is also their gcd in C[...

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Q: Make a handwritten resume regarding the Chinese Remainder Theorem by including examples (minimum 2)

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Q: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Eith I s...

A: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Either I...

Q: 3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of corresp...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: 3. Which of the following integers are divisible by 3? Of those that are, which are divisible by 9? ...

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Q: Determine whether xT= (0, ) is an optimal solution to the following linear program. maximise ,n + E2...

A: We will use the basic knowledge of linear programming and optimization to answer this question prope...

Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O ...

A: We say a set of vectors v1, v2, ...., vn is linearly independent if              c1v1+c2v2+···+cnvn=...

Q: : Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy 0 %3D

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: 4. Use the power series method to solve y" + y = 0 near x=0.

A: Given differential equation is y''+y=0........1. We have to find the solve y''+y=0 by using power se...

Q: sin (z. + za) g.= = [cos (z, – z)] (/Zn + z,) + z.) h.== tan i. 2= csc (za - za)

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Q: Use Taylor series for y(x + h), y(x – h), y(x + 2h), and y(x – 2h) to derive the FD formula for the ...

A: Here we have to use taylor series for y(x+h) , y(x-h) ,y(x+2h)  and y(x-2h)   

Q: Let X be a random variable with p.d.f f(x) = c + 1.2x2,0 <x < 1. Find a constant c if E(X) =! 0.6 0....

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Q: Determine whether the given function is a solution to the differential equation and find the particu...

A:  Here given y'=3x2y2+1   ......1, y0=1  

Q: x = c¿coswt + c2sinwt, w is a parameter (not to be eliminated)

A: It is known that: ddtsinkx=kcoskxddtcoskx=-ksinkx Here, k is a constant.

Q: nating the function ntire interval [a, b], range's interpolation ted with the inter-

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Q: Question 2. Consider the function f(x, y, z) = xye-(a+y´+z²), Find all points (a, y, z) such that Vf...

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Q: Let G1 and G2 be groups. It is a fact that (G1 x G2 )/( G1 x {e2}) is isomorphic to G2 a) Given how ...

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Q: 4. Solve this fourth-order ODE by using the method of undetermined coefficients: y" – y" = x. (Sto

A: Introduction: The order of a differential equation depends on the highest order of differentiation. ...

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: 4(cos 190°+isin 190°) If A = B = (-1+ i)10 and C = 40e3", 2(cos 70°+isin 70°) solve for A + B + C. E...

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Q: HoW it aくく! -(メ)す |<X<2

A: We have given function ,  f(x) = 1 , 0 &lt; x &lt; 10 ,1 &lt; x &lt; 2 We know that Fourier series i...

Q: 3. It takes me 5 hours to weed all of the gardens at my house. If my husband works with me, it will ...

A: To find: We have to find Mr. King's time to complete the work.

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for ...

Q: 32. y" + y = sec x; y = c1 cos x + c2 sin x + x sin x + (cos x) In(cos x), (-7/2, T/2)

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Q: [2 + i 0 2i Lo 3il b. Value of y 北- 1 2i 6. a. Value of x C. Value of z

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Q: 2(s+1) What is L¯' s- using Completing the Square? + 2s +10 А. 2e cos 3t 4 -e sin3t 3 В. 2е сos 3t 8...

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Q: • Exercise 2 Assuming that i) the sequence of functions {f„(x), x € [0, 2)} converges to f(x) in L2[...

A: We will use the basic knowledge of analysis to answer this question properly, in detail. Here, I am ...

Q: Choose the correct ordered pair that makes the inequality true. 1. ? + 2? ≥ 8           (4,2), (−2,...

A: We have to check one by one, which ordered pair satisfies the given inequality.

Q: sinh x - cosh? x is equal to O e- -1

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Q: 1. (10 + 7i )®

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Q: dy Find dx * of y* = sin(e) + xtan-1x. %3D

A: We have to find dydx

Q: If n 2 1, then the Fermat number Fn 22" +1 is prime if and only if %3D 3(F.-1)/2 = -1 mod (Fn).

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos (w,t...

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Q: Solve the differential equation using series: (x + 1)y'' - (2 - x)y' + y = 0.  where y(0) = 2 and y...

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Q: P(1,0,4), Q(2,4,6) and R(-1,3,6) makes up a triangle find a. perimeter of the triangle b. area of t...

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Q: 6. An insurance company has an obligation to pay the medical costs for a claimant. Average annual cl...

A: Solution:-

Q: Let each of the vectors: A = (2,-1,3) B=(2,3,-1) and C = (-2,1,-2) extends outward from the origin t...

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Q: Solve: dy/dx = 2 + sqrt(y - x+ 3). %3D

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