Solve the Homogeneous Equation using the given substitution. State the value of a. a= x² - y² - xy = 0 Let y=vx ⇒ v=X dy=v+x- dz This should result in a DE that will solve using Separation of Variables.

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A: We have to find sum

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

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A: To find the value of given fds over given region.

Q: The following data set involves logarithmic growth. X 0.8 2.1 6.5 12.2 29.7 34.8 y 5.1 9.0 13.5 16.0…

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Find the value of the Sum Σxi' if x₁ = 8₁ x₂ = −3₁ X3 = 4₁x₁4 = - 1=1

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Q: A. Consider the plane with direction vectors à = (8,-5,4) and b = (1,-3,-2) through P(3,7,0). 1.…

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Q: Integration of Inverse Trigonometric Functions 1 1). fsinødø.; cos² Ø+9 1 2). Scotødø.- √9-In² sino

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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A: Let's find number of groups can be formed.

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Q: Solve the differential equation. 14. ( 1 – xy)^-2 dx + [y^2 + x^2 (1 – xy)^-2] dy = 0

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Q: Question 11 Evaluate the limit: lim h→0 Question Help: Video (-5+h)² - 25 h

A: We can solve this as follows:

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A: We know that maximum area of rectangle in any circle is square.

Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: x³dx S 17. √(1-x²

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Q: Below is the graph of y=3√x. Translate it to make it the graph of y=3√x-2+4. of x 5

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Q: ) Solve the Recurrence Relation Xk+2 +4Xk+1+3Xk = 3K where x₁ = 0, x₁ = 1

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Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

Q: Which graph could be used to find the solution(s) to the system of equations y = log₂(x + 2) and…

A: The system of equations y=log2x+2 and y=x3-2x2-5x+6

Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: g(x) = 2x √1+3x

A: SOLUTION-

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Q: Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals…

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Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

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Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

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Q: (1) 3. a) In how many ways can the letters in the word DISCOVER be arranged if there are no…

A: Let's solve.

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Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

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Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

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A: Write down the equation of the volume.

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A: see below the solution and calculation

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A: I have appended the formula used in the solution part of the question

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Q: Ⓒ Differenitale y = √3x-7 X

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

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

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Q: Solve the differential equation. 1. (x-2y) dx + 2 (y-x) dy = 0

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Q: Question 20 sin t Dz 20 sin T I COS T sin r I COS I I Cos I sin z 2x² COS T 2 JORNAL 27² MAN dabiskt

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Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

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Q: Chapter 11 Test (3) 6. Simplify the following: n!(n+1)! (n-2)!(n+3)!

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Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

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Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A: In this question, we want to know that in how many years the population will be four times using the…