Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy for the given path. C: x = 2 cos(e), y = sin(0), Os es 27

Q: evaluate the region S

A: answer is in next step

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A: We have to calculate volume of plug which is intersection of two cones z=√(x2+y2) and z/3+√(x2+y2)=1…

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A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

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A: Given; r=2sin4t i+ 2cos4t j

Q: (1 — 2x)dx

A: Given,  ∫01(1-2x)dx

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Q: Consider the following equations. f(y) %3D У(5 — у) g(y) = -y

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Q: Consider the function f(x) = 9x + 4x-1. For this function there are four important intervals: (- 00,…

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

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Q: Solve the initial value problem using Laplace transforms. y" - y' – 6y = 2, y(0) = 0, y'(0) = 0

A: We need to solve the IVP given.

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A: For critical points first derivative must be zero If second derivative is less than zero then local…

Q: ind for by Implicit differchtioution 2(xu)

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Q: 2. Let f(x) = vVI(2 – x). Use the local linear approximation of f(x) at xo V0.99 (1.01)². 1 to…

A: Explained below

Q: What is the area of the region bounded by the graph of r = 4 cos 0? %3D Choose two (2) correct…

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Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

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Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A: Area = 12∫θ=αθ=β r2 dθ.

Q: Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or…

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Q: Find the slope of the tangent line to the polar curve r = cos(30) at 0 = 7. Enter as an integer or…

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Q: 3x + 4y – 5z= - 8 4x + y- z= - 14 x- 3y + 3z = - 10

A: answer is in next step

Q: Let f(x, y, z) = x*y+ z* and x = st², y = st, and z = s²t. (a) Calculate the primary derivatives se…

A: Given,  f(x,y,z)=x4y+z4x=st2, y=st, z=s2t

Q: Find the first four nonzero terms in the Maclaurin series for f(x). f(x) = e 5x sin x ... Choose the…

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Q: f(x) 7xe-x, y = 0, 0 <x < 1 ketch the region bounded by the graphs of the equations. 3- 2- y 3

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: Consider the function f (x, y)=-2x'+3x'y+2 y°-9y+5

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: Explained below

Q: You remove your pecan pie from the oven and place it on the counter for an hour before serving it.…

A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

Q: Evaluate the line integral | -ydx + xdy along the curve C:y? 30x from (30, 30) to (0,0). NOTE: Enter…

A: We need to find integral.

Q: Determine the equation of the midline of the following graph. 5 3 2 -61 -37 6A 121 -1 -2 -3 -4 -5 4.…

A: see below the answer and explanation

Q: The matrix associated with the solution to a system of linear equations in x, y, and z is given.…

A: Solve the following

Q: manager sells 75 cakes per week at 650 pesos each and he knows that for every 10 pesos crease in the…

A: Given query is to find the price tk maximize the revenue.

Q: Find V. (V x F), if F(x, y, z) = 3e"i+ 7xe"j – 3ek. V.(V × F)

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 7y and…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: View Policies Current Attempt in Progress Find curl (6z i + 7x j + 9y k). curl (6z i + 7x j + 9y k)…

A: Solution:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Here we have to find the volume.

Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 2xe³j – 3ek. - V·(V × F) =

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Q: B. Find the value of (r+1)dx in the following three ways: a. Using elementary geometry, interpreting…

A: answer is in next step

Q: emplicit differuntintion to find an Use equaton of 44 tangent line to yle graph of ve equation given…

A: The given equation,       arcsin4x+arcsin3y=π2,  28,26

Q: Solve following diffrential equation x(dy/dx)+6y=9x^2

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Q: Write the equation of the trigonometric graph. try sin x )+ 5 4. 2 31 57 37 2 -2 -3 -4 || 3. 1.

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Q: Evaluate F. dr. F(x, y) = xi + yi C: r(t) = (3t + 4)i + tj, Ostsi

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Q: Evaluate: Vt2 + 3 – 2 lim - t→-1 t² – 1 - O Does not exist 1/4

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