Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

Q: If w = cos(xyz), compute for 82 w дудz

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Q: Verify that cos kx is a rolulion Also, stafe what kind of DE is the DE above :

A: This question is about solving differential equations.

Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

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A: We have to find the z transform of the following.

Q: 15. Verify the SSS Postulate for triangle congruence by using congruence transformations. Given: XY…

A: Given: XY¯≅RS¯,YZ¯≅ST¯,ZX¯≅TR¯ To prove: ∆XYZ≅∆RST

Q: 27 de Evaluate the intergal using the residue theorem. 15 +3 cos 0

A: residue theorem of integration

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A: y=fx=cosx2 Differentiating with respect to x, we get f'x=-12sinx2 Again differentiating with respect…

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Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

Q: Compute the Jacobian of : O(r, 0) = (9r cos 0, 4r sin 0)

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Q: snip

A: Given, cosjx,coskx, ∋j≠k, k≥1 if inner product of two function f(x), g(x) on the interval [a,b]…

Q: Let r(t) = (t, 3 cos(t), 3sin(t))

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Q: Use symmetry to evaluate the followingintegrals.

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Q: Use

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Q: let CRIW) be usual top. let A= Co1] Finel usual Fop. A Arand Bod (A)

A: Definition: Let X be a topological space and A⊆X. A is closed if the set Ac is open The interior of…

Q: -W : By the same way, prove that g Z sinWo sinw.k Z -27 cus Wo +1

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Q: Let ū = (1,0, –1) and ū = (1,2, 1). a) Verify that the Lagrange's Identity holds for ū b) Find tho…

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Q: Form a DE with respect to t: x = Acos (In t) + Bsin(In t).

A: Sol

Q: See picture below.

A: Consider a function f(x) such that:

Q: التاريخ اليوم موضوع الدرس A) Discuss the conrergence of facx) %3D on A = Co,0)

A: Convergence of the sequence

Q: evaluate the triple iterated integral.

A: Given: ∫0π4∫0π4∫0cos∅cosθ dρ dϕ dθ

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Q: Express the following to rectangular form. 1. z = v17(cos346° + isin346°)

A: Rectangular form of complex number is defined as z=x+iy Now simplify the given complex number to…

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Q: Calculate cos(u) for the following choices of u(x) : u(x) %=D2- 2"', 옮cos(u(x) =| | u(z) %3D 2-°,…

A: Perform the differentiation

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A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: .Inside the outer loop of the limason r 1-2 cos e

A: Given that r=1-2cos(theta) We have to find area.

Q: Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

A: First we  recall some definition-1)  p-test for convergence of series ∑k=1∞1(ak±b)p :     A series…

Q: Show that r = cos(2theta) is symmetric about the y-axis.

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Q: do Evaluate the intergal using the residue theorem. 12 +1 cos 0

A: ∫02πdθ12+1 cosθLet, z=eiθ . Then cosθ=(z+z-1)/2, dz=iz dθ, so that∫02πdθ12+1…

Q: Show that fi (x) = cos x , f2(x) = cos 2x are orthogonal on [-7,71]. %3D

A: This is a application of integration problem

Q: prove that the Lollowing examples satisly Laplace eqadion are -2y Cos 2X

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Q: 1. Tell if the signal x(t) = t cos(t) is symmetric, and if yes what kind of symmetry. Also, analyze…

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Q: If u =x² cos y +ye», where x =s+2t and y= st, prove that ди 2- Əs ди 3 (s— 21) (х' siny — хуе" —…

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Q: -3 [-1+v3i]

A: Explanation of the answer is as follows

Q: Which of the following yields an indeterminate form as z0t ? I cos z tan z sec z O z tan z ° (1 + z)

A: We need to determine which of the given options yields an indeterminate form as x→0+

Q: show that the. following Complex functron is dis continuous at z=i. fCZ) = スー! %3D 3.

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Q: Prove the following hyperbolic trig identity. cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y).

A: cosh(x+y)=cosh(x)cosh(y)+sinh(x)sinh(y)

Q: Evaluate the secondary 5th root of z = 50 (cos150° + j sin150°) and simplify to rectangular form O…

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Q: AB is tangent te OC at point A. mod

A: Given : AB is tangent to the circle at the point A. ∠ABC = 37°

Q: Prove the following identities as shown.

A: Definition of secant function says that the value of secθ is nothing but the reciprocal value of…

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Q: show that fE Riemann [o,!] and Find f de

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Q: Prove that d/dz sin(z) = cos(z) using Cauchy-Riemann equations

A: Cauchy-Riemann Equation- If f(z)=u(x, y)+i v(x,  y) is analytic, then In particular, These…

Q: Find the domain corresponding to the inner loop of r=1+2cos(theta)

A: The domain  inner loop of r=1+2cos(θ)  is 0,1

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

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