xfx+yfy=nf  f is a homogeneous of degree n

Q: OLet @ = (0,1)n Q = {x€ @104 x<1}. Prove that %3D 2) 2000m

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Q: 1. Let f(x, y) = In(x - y) then at the point (4,1), fryis equal to: %3D -1/9 O 1/7 1/9

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let f(x, y) = xcosy- y e*y. fry at (1,0)is equal to: -5 3 -1

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Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…

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Q: | 9(v)dv = 19 - 6 and 5 g(v)dv = 4.3 - 3 what does the following integral equal? g(v)dv = - 6

A: Given,            ∫-65gvdv=19 and ∫-35gvdv=4.3To find :  ∫-6-3gvdv

Q: 1. Show that the following ODE is of homogeneous degree. Hence solve it subject to the given…

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Q: The result from the preliminary method of coefficients linear with two variables is what type of DE?…

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x,…

A: Topic:- calculus

Q: 9. Evaluate the integral // V2 + y² + z² – 3 dV where S lies between a² + y² +2² = 1 and a? + y² +…

A: Given integral, ∭sx2+y2+z2-3dV Where S lies between x2+y2+z2=1 and x2+y2+z2=9. The spherical…

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=…

A: We have to find degree of homogeneous function

Q: dæ 2 (x² + 1)²

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Q: 2 1. Find the indefinite integral. Sáre 4x2 | 6xe dx 3 4x a. 2 3 4x2 +C c. 4&r°e*x*+C 2 4x2 +C +C b.…

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Q: Let f(2)=³ and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of Ac…

A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

Q: show that Ф (x, y, z) = аф PDE : агф дуг + дуг I х2 +у2 +Z2 024 072 satisfies the

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Q: hat polynomial x^2 + y^2 + y^2 − xy − yz − zx is irred

A: Given: x2+y2+z2-xy-yz-zx To prove that the given polynomial is irreducible in R [x, y]

Q: Prove the following diff. eq. is homogeneous xy²dx + (x³ + y³)dy = 0

A: Please refer the attached image for complete solution.

Q: 1. Evaluate the integral [(4z° +3z2 +2z– 6) dz

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Q: 2h 1+h )-2 = 1 – if h<<r Prove that ( %3D r

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Q: 2: Prove the following: 1.f(x, y) = is homogeneous and find the degree ? II. (6x² + 4xy + y)dx +…

A: From the concept of homogeneous..

Q: (b) Show that I(n + 1) = n · I'(n), using integration by parts.

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Q: Test the function def ined by f (x,y) = - x- 4y for its homogeneity. If it is homogeneous, give its…

A: Find your answer below

Q: 4) Find f, fy and f, for the following i) f(x,y,z) = sin-xyz ii) f(x, y,z) = y z In xy iii) f(x,y,z)…

A: Note:  Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 2. A firm produces two goods in pure ompetition &amp; has the pllowing TR &amp; TC functions R= 15Q…

A: In this question, concept of optimization is applied. Optimization Mathematical optimization is the…

Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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Q: 3. Give an example of a homogeneous function of the form f(r.y, 2) of degree 3.

A: HOMOGENEOUS FUNCTION A function of the form fx,y,z is said to be homogeneous function of degree 'n'…

Q: 19.4 function f(x, y) is homogeneous of degree odd number in x and y if and only if: i. f(ax, ay) =…

A: A function fx, y is homogeneous of degree odd number in x and y iff _____

Q: 3- Let µr1 = 2 in region 1, defined by 2x+3y-4z > 1, while µ2 = 5 in region 2 where %3D 2x+3y-4z <…

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Q: Find the integration inner product on C[–4, 1] of the given functions. f(x) = 15x g(z) = 3r* (f, 9)…

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Q: 1) Consider (x, y, z) = 2xyz - x²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z) = F₂(x, y, z)i + F₂(x, y,…

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Q: ar integral of the c 3 – 7D2 + 7D – 2

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Q: 27. Show that कक्या 1 Vn E Z*. T1\2i+1 2i+2. i=0 (2n + 2)!'

A: Consider the given expression. ∏i=0n12i+1·12i+1=12n+2! Consider the left side of the equation.…

Q: In Exercise 5.8, we derived the fact that 4y1 Y2. 0< yı < 1,0 < y2 < 1, f(y1. y2) = 0. elsewhere.…

A: Compute the marginal density function of y1 using the formula: fy1=∫y2fy1,y2dy2 fy1=∫014y1y2dy2…

Q: Evaluate the integral: 3x2 dx 2Vx3 –1 x3 – 1+C Væ3 + C 1 + C x3 None of the above

A: Consider the integrals, ∫3x22x3-1dx…

Q: 5. Knowing that (2" J,(x))' = x" J,-1(x) (x-" J,(x))' = -x=" Jp+1(x) 2v Jy-1(x) + Jp+1(x) = Jy-1(x)…

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Q: Using the appropriate substitution, what is the homogeneous form of the given ODE. * (х — 2у + 4)da…

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Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers.

Q: Suppose that the joint p.m.f. of Y and Y2 is defined by: 2x + y for x = 1, 2,3; y = 1,2,3 54 f(x, y)…

A: The probability mass function of Y1 and Y2 is,

Q: 6y" – 5y' + y = 0, y(0) = 4, y'(0) = 0

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Q: The value of Jo(0) + Jn (x) + J_n(x) is 72 a. 1 Ob. Jn(x) [1 – (-1)"] Oc. 1+ Jn(x) [1+(-1)"] Ob. O…

A: Let's find.

Q: Find the integration inner product on C[–4, 2] of the given functions. f(x) = 15x g(x) = 2x³ %3D…

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Q: Evaluate the triple integral.

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Q: 2 2. Evaluate the iterated integral 6x'y dady

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Q: If the functions f(x², y²) and g(x, y) are homogeneous of degree 2 and 4, f (x, y) g(x, y) 1…

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Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: evaluate the Cauchy principal value of the given improper integral. roo 1 dx 6x + 25 | roo x2 dx (x2…

A: The Cauchy principal values of the given improper integrals areevaluated as shown below.

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: Use the substitution formula to evaluate the integral. 2/5 dt v/252 -1 -2/5

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Q: Calculate the double integral. 3ху2 11 3xV²_ DA, R = {(x, y) 10 ≤ x ≤ 3, -2 ≤ y ≤ 2} d R + 1

A: We have to calculate the double integral∬R3xy2x2+1dA R={(x,y)∣0≤x≤3,-2≤y≤2} In order to find the…

Q: Evaluate xsec¬xdx using integration by parts. OA x2 -sec-1x-(x² – 1)3/2+c 2 O B. x? 1/2 2 Oc x2…

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Q: 33° 3. J K N. 7. * JN = 15 - 2x %3D * NL = 4x - 3 %3D Find r Cind

A: In this question we need to find a value of x and JL

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.