Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x – y)dy for the given path. C: x = 2 cos(0), y = sin(0), 0

Q: Find V (V × F), if F(r, y, z) = 7e"i+6xe"j – 2ev²k. V· (V × F) =|0

A: We have to find ∇.∇×F→

Q: n(x) = -0.16(x – 92)+ + (x – 92) – 25.112 14 o(x) = -4.3 tan(0.3(x – 96.4))–29.3 15 p(x) = -1.4 log,…

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Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

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Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: If f(x) cos-(2x+5) then dom(f) = %3D a+3 (A) (-3, –2) (B) [-3, –2] (C) (-3, –2] | (D) (-1,1) (E)…

A: Given query is to find the domain of the function.

Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

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Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

Q: Sketch the region whose area is given by the definite integral. 8. x dx

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A: Triangle sum theorem: The Triangle Angle Sum Theorem states that the sum of a triangle's three…

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Q: dx (r-1)%

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Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

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Q: A A A A A A A A A A AA A A A A A A A A A A A A A A A AAA 6. What is the sum of the series TC + ... +…

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Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: I have this math problem that I am very stuck on Suppose that a, b, and c are unknown constants such…

A: answer is in next step .please give a like.

Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: Evaluate the line integral | -ydx + xdy along the curve C : y? = 18x from (18, 18) to (0,0). NOTE:…

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Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

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Q: Kindly

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Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: メーャゴ+2x)dメ+でyalyo

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Q: C. coordinate

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 2- find fxx and fyy for f(x, y) = x²sin?y

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Q: Find div F and curl F if F(x, y, z) = x°i – 6j + yzk. - div F= curl F=

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Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: Evaluate the integral * (2* – 8)* dz, 33 by making the appropriate substitution: u = 33 NOTE: Your…

A: We need to evaluate the following integral I = ∫x3x4-833dx                         ..........1…

Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

A: The objective of the question is evaluate the definite integral.

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: dr 2 Vr*+3

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Q: Evaluate the double integral.

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Q: Find f and f, and evaluate each at the given point. 3xy f(x, y) = V2x + 2y (1, 1) " (x, y) = 5,(x,…

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Q: plapii the function f(t) = 6t(h(t – 1) – h(t – 6)) for 0<t<o. Use your graph to write this function…

A: Heavyside function

Q: Ay 4- 2- -> 4 -2-

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Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: For the linear transformation T: R2 → R2 given by a -b a A = b a find a and b such that T(3, 4) =…

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Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: dx (х -1)3

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Q: lim 2?e --00 1- cos(2x) im

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Q: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

A: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

Q: 0.4x Find the area between the curves y = e and y 1.9x + 1 from x = 0 to x = 3. Area =

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