Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy

Q: 11) The inequality 3x-2 0 3x² - 9x x-2 d. <0

A: Given, 3x-2&lt;x+4x-2

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 -5 -4 -p 2 y…

A: To find the equation for the function.

Q: Find the general solution of the given second-order differential equation. 9y"+y' = 0 y(x) =

A: General solution of real roots is used.

Q: Find the EXACT solution to the equation below (do not give a decimal approximation; the logarithm is…

A: NOTE: Refresh your page if you can't see any equations. . properties of logarithms are

Q: R. -6 -2 7 π/2 ett 4 2 i -2 2 π/2 4 ett 2 4 O 2 4 T/2 8 6 4 2 π/2 4 2 D 2 2 P 50 4 8

A:

Q: Consider the following. [[X] = Sketch the graph of the function. Use a graphing utility to verify…

A: Here we have to sketch the graph and then finds its domain and range.

Q: 13) x+2 x+4, Which inequality is equivalent to *-*+4? = x-3 x+1 a. treb. 2x² + 4x-10 (x-3)(x+1)…

A: This is a problem related to linear inequalities. Please follow the procedure given below.

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

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Q: Determine the region R in the xy-plane that minimizes the value of JJ (x² + y² - 8) dA. OR={(x, y):…

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Q: You own a hamburger franchise and are planning to shut down operations for the day, but you are left…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: 1) y" - 36y = 0.

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

A:

Q: 2. (x + y) dx + (3x + 3y − 4) dy = 0

A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.

Q: 10z +2 (z+1)²(2-3)² S dz

A: ∫10z+2z+12z-32dz

Q: I'm not sure how ti find the position vector. Could you please give me some instructions? Thank you.

A:

Q: Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given solution, y=c1cos3x+c2sin3x So, y'=-3c1sin3x+3c2cos3x So, y"= -9c1cos3x -9c2sin3x

Q: force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the Give the…

A: This is a problem related to 2nd order differential equation of the newton's law of spring motion.…

Q: Use polar coordinates to describe the region shown. y L -6 -4 -2 6 OR ((r, e): 0 ≤rs 6 cos(38), 0 ≤…

A: We need to find equation of polar curve.

Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) =…

A: The following question belongs to sort trick question where we are provided with extra information.…

Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: part, and you will not be able to come back to the skipped part. Tutorial Exercise Solve the…

A: The given differential equation is;  y''+3y'+2y=1/(8+ex).

Q: Sketch the solid region whose volume is given by the iterated integral. [³ O √,2-4 Evaluate the…

A:

Q: Sketch the region R and evaluate the iterated integral -1.0 O [²L²¹²- -0.5 (12x+8y) dy dx y 3 £₁ […

A: We can evaluate the given integral by using the integral formulas.

Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…

A: Follow the procedure given below.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: Solution: Given: 2x - 5z =5 .............(1) 2x - 5z =6 .............(2) On solving both equations…

Q: Determine whether the given set of functions is linearly independent on the interval (-∞0,00). f₁(x)…

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Q: The length of a rectangle is three times its width. If the area of the rectangle is 108 yd², find…

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

Q: Let - fot² Find the average value of f on the interval [0, 1]. f(x) = dt.

A:

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: lim n→∞ - 17n + 11 11"

A:

Q: 9 P cost D2 + 1 }; రె 2 cos²x T+a {

A:

Q: Evaluate the iterated integral by converting to polar coordinates. -x² IT (x² + y²) dy dx dr de-

A: We can evaluate the given iterated integral.

Q: 15) I What is the average rate of change of f(x) = from x = -2 tox = 4? x-s X+3 b 24 7 M C. d. 25 21…

A: We know that the expression for the average rate of change between the interval x2≤x≤x1 is: Average…

Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Find the radius of convergence, R, for the power series ₁ (−1)n. in=. O R = 0 R = 2/1/2 R = ∞ R = 2…

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Q: Why is the Second Derivative Test inconclusive when f"(c) = 0? Explain. Please use clear…

A: This is a problem related to derivative. Please follow the procedure given below.

Q: The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ =…

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Q: Use the indicated change of variables to evaluate the double integral. 56xy dA x = 1/2 (u + v) y =…

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Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0 y(x) =

A: We need to find general solution.

Q: A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to…

A: To find out the amount that the teacher will accept now.