Use Green Theorem to Evaluate |y x²dx – x²dy where C is left half of x² + y² = 25

Q: Find the area of the region(s) enclosed by the curve (x) the x-axis, and the lines x = -1 and X= 2.…

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Q: Consider a field with V = 8a²y² î + 4y²j + –5y² z³k a) Find the divergence of V: V•V: b) Find the…

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Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: dx a sin x+b cos x

A: Given problem:-

Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

Q: Solve y" +3y'+2y =

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Q: Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3…

A: Given f'(x)=5x2-7x+4,   f(0)=2To find f:

Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 7x?y²j

A: Find the divergence of the vector field F.

Q: onsider the curve (y² = 9 + x ) that defines y as an implicit function of x. If P (xo, yo) is the…

A: Topic:- application of derivatives

Q: Express the iterated integral as an equivalent integral with the order of integration reversed.…

A: Express the iterated integral as an equivalent integral with the order of integration reversed.

Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) %3D y = =? 1

A: y=x7

Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

Q: Consider the following algebraic functions. F(x) = -x2 + 6x + 5 g(x) = x+ 5 Sketch and shade the…

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Q: Question * Using the Nth term test for divergence 1 2n + 14 n=1 diverges since lim is equal to 1.…

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Q: ne area Of Lhe region

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Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: Question 10 2 c y? Evaluate the iterated integral. J. yz dx dz dy -1 A 45 В) 34 © 47/3 D 5

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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Q: f(x)= 2cos (x) − 6sec (x)+3 =

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Q: Evaluate the double integral f(r, 0) dA. -7 cos(0) r dr de 497 2 Sketch the region R. 7/2 A/2 6 2 4…

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Q: Find the area of the region enclosed by x² and y integrating with respect to y. the curves Y = 4x by…

A: A detailed solution is given below

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ï, §) = (?, ?) y = r

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Vector equation of a line passing through P(a,b,c), Q(p,q,r) is given by,…

Q: V4-x? 3-x2-y² Evaluate the iterated integral. x dz dy dx -5+x2+y? A 128/15 16/89 23/6

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Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…

Q: 1. Sket dh the graph of the cylinder r = (y – 2)2 in R. %3D

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Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n³ – 4 converges to 0 O converges to -1 O none of them O…

A: We have to find the limit by using sandwich theorem,…

Q: intercept

A: Please refer to the image below

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: Given

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

Q: loge (cos x) e. lim x V1+x2 -1

A: e.limx→0logecosx1+x2-1

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 7 cos(t)i…

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Q: Evaluate the triple integral. /I| ry sin(yz) dV, G where G is the rectangular box defined by the…

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A: To find maxima/minima of the function: f(x,y)=x2+2y2-3xy with constraint g(x,y)=x+y-24=0

Q: r2 cose dr de valuate the iterated integrals A) 1

A: ∫0π∫01-sinθr2cosθdrdθ

Q: Evaluate the line integral / (6x + 8y)dx + (4x – 8y)dy along the curve C: x = 2 cos t, y = 4 sint…

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Q: Evaluate the line integral / (2x + 7y)dx + (4x – 6y)dy along the curve C: = 6 cos t, y = 12 sin t…

A: Let's find.

Q: The critical values f(z) = "(1- z)°, for some positive constants a and b on 10, 1[ is/are a. b. tb…

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

A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). 3 r(t) = e%i+ ej %3D K(t)

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Q: Evaluate the double integral. 7x*sin y²dA; Ris the region that is bounded by y = x³, y = -x³, and y…

A: double integral

Q: Using appropriate substitution xp: V9x2-36x + 37 Is equal to

A: We have to integrate given function

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: To determine the volume of the largest cone having its circular base circumscribed about a face of a…

Q: 0, 1, 2, 3, and 4 about x = xo Find the Taylor polynomials of orders n = and then find the nth…

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