2. Simplify: cos(+ x) cos(-x) = sin(n + x) sin(x + 37)

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Q: solve remaining parts

A: d. y'=x4e. ∑i=0naixdiydxi=fx,   where d0ydx0=yf. dxdy+y2x=siny+1

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A: The answer provided below has been developed in a clear step by step manner.

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Q: Tilted disks Let S be the disk enclosed by the curveC: r(t) = ⟨cos φ cos t, sin t, sin φ cos t⟩ ,…

A: Given that S be the disk enclosed by the curve C:rt=cosφ cost, sint, sinφ cost for 0≤t≤2π and 0≤φ≤π2…

Q: Fast pls i will give u like for sure solve this question correctly in 5 min Elena's account balance…

A: the question says that Elena has -$5.50 in her account. That means that she owes someone (the bank)…

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Q: 5- The longitudinal dynamics of an airplane in state-space form is given as follows: Au Aw Aq ΔΘ x =…

A: We are here to find the characteristic equation of the  longitudinal dynamics of an airplane in…

Q: (c) Find the coordinates of point Q.

A: We have to find the coordinate of the point Q.

Q: y = 8x - x² P (5, 15) (8,0) X Figure 2 Figure 2 shows the curve y = 8x - x² and line I which is a…

A: It is given that the line l is tangent to the curve y=8x-x2 at P5,15. The curve intersects the…

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Q: Can you explain what an eigenvalue is to me?

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Q: How do you get from 2+ integral 1 to 5 sqrt (x^3+6)dx to 2+ 24.6719? Soon pls pls

A: To Show: How to get 2+24.6719 from 2+∫15x3+6dx. That is, ∫15x3+6dx=24.6719.

Q: OBTAIN THE GENERAL SOLUTION USING THE APPROPRIATE METHOD ALWAYS INDICATE THE 5. (2xy'e' + 2xy³ +…

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Q: Given that a connected graph G has diameter d, state (but do not prove) the lower bound for the…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: Solve the following Fredholm integro-differential equations by using the Adomian decomposition…

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Q: By combinatorial reasoning, prove that for any n ≥ k ≥ 0 we have k+1 n+ ()+(*+¹) ++ ( )= (+1) k…

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Q: Using PFE where required, find x(t) for…

A: To Find xt for: (a) Xs=ss+1s+2s+3s+4. (b) Xs=s+2s+12. (c) Xs=1s2+s+1. (d) Xs=s+1ss+4s+3e-0.5s.

Q: 3. Cars are shipped from three distribution centers to five dealers. The shipping cost between each…

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Q: Look at the file Q3FSM.pdf which shows a State Transition Diagram with input alphabet {0,1} and…

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Q: Find the integral ∫Cxdx+ydy +(x+y−1)dz along the curve C, where C is the line segment AB traversed…

A: Find the integral ∫Cxdx+ydy +(x+y−1)dz along the curve C, where C is the line segment AB traversed…

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Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below…

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Q: 18.6 Given the data X 1 2 H f(x) 3 6 3 19 5 99 7 291 8 444 18.14 Develop cubic splines for the data…

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Q: B

A: For two vectors A and B, A-B is nothing but adding Aand -B i.e. C=A-B is the resultant of Aand -B.

Q: The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t)…

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Q: 2 method to solve the 2nd order ordinary differential Use the Runge-Kutta + 16. Y = 0 with respect…

A: Given that the 2nd order ordinary differential equation                           d2Ydt2+16Y=0,  and…

Q: Find the limit of the sequence\[\{\sqrt{2}, \sqrt{2 \sqrt{2}}, \sqrt{2 \sqrt{2 \sqrt{2}}}, \dots\}\]

A: Find the limit of the sequence

Q: Let a, b, c be the real number such that b≤0 < a. Consider a 3×3 matrix A = (1 - bc1 a 0001) All the…

A: The given matrix is A=1-bc1a0001. where b≤0&lt;a. To Find: The correct option: (a) All eigenvalues…

Q: a. Suppose that f(x) is differentiable for all x in [0, 1] and that f(0) = 0. Define sequence {a,}…

A: Suppose f(x) is a differentiable function and a sequence is defined as an=nf1/n. (a) To Show:…

Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

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Q: 1. (x³ + xy² − y)dx + (y² + x²y=x)dy=0

A: To solve the differential equation by the method of exactness.

Q: Formulate a linear programming problem that can be used to solve the following question. A plane…

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Q: | Find all the poles of poles of 1 f(z) = ₂1² f(z) z3-1 and their residues.

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Q: 9. y' +y = f(t),y(0) = 0,f(t) = 0,0 ≤ t < 1 [5, t≥1

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Q: Which of the following families of real functions are algebras of functions? (For each, either show…

A: To check which of the given families are algebras of functions: Note that a function is said to be…

Q: Graph the two equations f(x)= 0.1x^2+0.5 g(x)= -0.1x^3+4x and find the volume if the cross sections…

A: Given: The two equations; fx=0.1x2+0.5 and gx=-0.1x3+4x.   To graph: The given equations.   To find:…

Q: L-1 S (s+1)

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Q: Find an equation of a plane through the point (-3, -1, 1) which is parallel to the plane -5x - 3y +…

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Q: Let S be a non-empty open connected subset of R². The number of possible continuous onto functions…

A: Solution given below.

Q: Uniform shaft is fixed at one end and free in other end, if a²0 a²0 01² 0 0 0x². 0(0, 1) = 0, = 0 at…

A: Given,                  ∂2θ∂t2=a2∂2θ∂x2,  0&lt;x&lt;1, t&gt;0                             ...(1)θ(0,…