Use Green's Theorem to evaluate the line integral S (y-x) dx + (2x - y) dy for the given path. X C: boundary of the region lying between the graphs of y = x and y = x² - 2x

Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: Find the constants a and b such that the function is continuous on the entire real line. 8, ax+b,…

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Q: For f(x, y) = cos(xy²), which of the followings is true? O fr = fy O fxy = fyx O frr = fyy O fryr =…

A: The given function is fx,y=cosxy2

Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: O…

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Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: X2-x+2 x3+4x xp

A: The given integration is: ∫x2-x+2x3+4xdx To find the value of the given integration.

Q: 3x-6 Evaluate je ³*-6 dx O 3+C

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Q: Use the Limit Comparison Test to determine whether the series converge 31, 2 k + 3 Σ 3 k=1 √k +4

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Q: If v=4i -Ĵ+3k and w= -î - 2 + 5k, then find the dot product, .W 11 13 10 11 8

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: ! -<0<, an integral was transformed to the form 11 -do. sin 0 cos³0 In terms of x, the integral I is…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Current Attempt in Progress Find values of x, if any, at which the given function is not continuous.…

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Q: Find the general solution of the differential equation: 1. (2x + 3y - 1)dx - 4(x + 1)dy = 0

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Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: csc(x) = 5, for 90° < x < 180°, then (²3 2

A: Please refer to the image below

Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: Find the constant a such that the function is continuous on the entire real line. 1 = √7x², lax - 5,…

A: Topic = Function

Q: For the following functions. a. use Equation 3.4 (Text page 217) to find the slope of the tangent…

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Q: Evaluate the given integral by making an appropriate change of variables. J 9 X - BY DA, where R is…

A: NOTE: Refresh your page if you can't see any equations. . where R is the parallelogram enclosed by…

Q: 1. dx *² +4x+5 Sz

A: The given integral is ∫dxx2+4x+5 We have to find the integral

Q: As of 2018, taxi cab tariffs for working hours in London, England, are as follows. • For the first…

A: Disclaimer: Since you have posted multiple sub parts of  a question then we will solve first three…

Q: Find the directional derivative of the function at P in the direction of V. g(x, y) = √√√x² + y2,…

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Q: Convert to polar equation. Express rinterms of Q 4x + y = 5

A: The objective is to convert in terms of polar equation.

Q: Find the total area of the shaded region. Ay 12 10- 8- 6- 4- y=x NO 2- Co y=7 y= 2 X 28 8 10 12 14 >…

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Q: Find the gradient of the function f(x, y) = x²y+y³. Vf(x, y) = xî+ (x + 3y²) ĵ ○ ▼ f(x, y) = xyî +…

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Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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Q: Numeric Response If the value of log sin = -2, then the value of log₁ csc 0 is

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions?…

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Q: Find all solutions of the equation in the interval [0, 27). sec 0-√2=0 Write your answer in radians…

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Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Concept: The function f(x) represents the graph of the linear equation and the function g(x)…

Q: Question 16 Consider parts? A B -S₁²x sinx dx. Using integration by parts, let u = e2x, dv = sinx…

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Q: Solve the triangle. A=38°, b=4, c = 12 O A *** O b=4 380 c=12 ed a= (Do not round until the final…

A: Given  A=38°, b=4, c=12

Q: an+1 = √√42+ an, a₁ = −42

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Q: Solve the initial value problem. ds dt = 20t(5t² − 3)³, s(1) = 7 - The solution is s=

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Q: 3 C≈ (Do not round until the final answer. Then round to the nearest tenth as needed.) A≈ (Do not…

A: Topic:- trigonometry

Q: .) Use method of Laplace Transforms. y"-6y +13y=0, y(0) = 1, y (0) = -3.

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Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 1+xy

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Q: Is z=xcosϕ ?

A: To determine whether z=x cos φ.

Q: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The following Telescoping series +∞ Σ n=1 1 1 In((2n +5) In((2n + 7

A: The given series is ∑n=1∞1ln2n+5-1ln2n+7

Q: Calculate the integral of ze²x+y over the surface of the box with 0 ≤ x ≤ 2,0 ≤ y ≤ 3,0 ≤ z ≤ 6.…

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Q: Question 2 ( ) Draw the enclosed region by the curves y = √1-x, y = 0 and x = -3.

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Q: Find the exact solution for e2-6e* If there is no solution, enter NA. 160. Enclose arguments of…

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Q: 1. What is the best method to use given a differential equation with f(x) = sec x? A. Method of…

A: We have to solve the given question and find the correct answer.