The term r ryis homogenous of degree two. -

Q: mly collect the dat

A: Null hypothesis(H0): Reasons are not significantly relegated to the type of worker   Alternative…

Q: Which of the following is homogenous of smallest degree? (A x+y B) In x - In y x4+y4 x-y D Vx-y

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Q: (b) En=1 m

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Q: Show that under the transformation: k= the equally spaced z-values, z : 1o, To +h, xo +2h, .…

A: Just substitute the given values of x and proof will follow.

Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

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Q: ind the following Non homogenous LDE using Reduction Order. (D² – 4D + 4)y = e*

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Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

Q: Evaluate fl. 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

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Q: 2. If mZMKL = 83°, mZJKL = 127°, and MZJKM = (9x - 10)°, find the value of x. %3D %3D %3D J MA

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the reductión Bormula Bor d x In (a+bshmx)"

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Q: S. Use the theorems and given information to show that r

A: The figure is as shown below : Given, ∠4 = (13x-4)o, ∠8 = (9x+16)o and x=5

Q: Find the fowien senies fon | X), -T<X <A

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Q: Show that F(n fla)] ds pleae do it frast

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Q: 2 dt 4+ t²

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Q: . Show that z)= E kz is D: 1215 continuous io domain

A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

A: tan-1x+tan-11=2tan-1x-tan-113

Q: Verify Young's Theorem z = In(2x + y) -

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Q: Find the of im < Re z< £ un der w-

A: Substitute w=u+iv and z=x+iy in the transformation. w=1zu+iv=1x+iyu+iv=x-iyx+iy.1x-iyu+iv=x-iyx2+y2…

Q: Show that if AT Ay = y for all y in Rn , then ATA = In .

A: Given that     ATAy=y  ∀y∈Rn. To prove ATA=In

Q: find z trans foyms of folleing -an simwn ĭ

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Q: Is 1z = 1 for all z ∈ C?

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Q: Use linearization to approximate In(1.2).

A: we can use the following formula for approximate calculations: f(x)≈L(x)=f(a)+f′(a)(x−a). where the…

Q: If Σa, is divergent and Eb, is divergent, then Z(a + b) is divergent.

A: The given statement is false as sum of two divergent series may converge. We illustrate this as…

Q: Q: Prove that tim x"- a" %3D

A: we have to find the limit of the expression

Q: Which of the following is homogenous of smallest degree? x4+y4 A x-y B Vx-y x-y x+y D In x – In y

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Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Find дхду of z = In(x² – y)

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Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: Let z = 6exv , find dz %3D

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Q: Which of the following DEs are first order linear DEs?

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Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: Evaluate the integral. 4,3 - 32+ 4 른t) dt

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Q: by

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Q: it is unbaised estimated of a Then Show That ta is baised estimated of 02. Theorem:- if

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Q: find the root of the fnmetion ーX FCx)= ē^ _ x which lies betwen (o %3D

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Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: /show that fo-1x is-Contindals everywhere.

A:

Q: Show that ag = vp¤(ax+1 + 1) %3D

A: Given  ax=vpxax+1+1

Q: Find the discontinnity point of &Cz): ニ そzそ+

A: Given that, the function is fz=z+1z2+2z+1. Set z2+2z+1=0 to find the undefined points. Compare the…

Q: Prove the following: %3D

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Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: 5) why is x3- 3x +I X +2 Conti nuous (0,00) on where is it discontinuous?

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0