The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √ √² + 1 6u5 (d). S u³+1 -du du

Q: The value of $ (2xy - x²)dx+ (x+y²)dy, where C is the enclosed curve of the region bounded by y=x²…

A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   I=∮2xy-x2dx+x+y2dy And C: y=x2, y2=x…

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Given 2bxy=3ax2-4y3To find derivative dydx:

Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

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Q: Flag question A grocery owner raises the prices of his goods by 10%. Then he starts his Christmas…

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Q: Evaluate the integral of the following: cos³ x+8 sin x cos²x+6 sin² x 2 cos²x -dx; cos x = 0

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Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- +2y'-3y=32e³;…

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Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

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Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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A: Given function is y= 3sinh(3t)

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A: We use L'Hôpital's rule to solve the limit.

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A: Area

Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

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Q: The value of the definite integral fm12 √ex - 9 dx is in the form F(b) – F(a), where a In 9 and b…

A: We have to solve given Questions.

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Q: f ƒ (a,b, c) = cos (ab) + sin (b) + c where ƒ ((2, 73,7)) Evaluate af да (1,3,7) O Option 3 T√3 12 ل…

A: Topic:- application of partial derivatives

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Q: The figure is the graph of the derivative, ƒ', of a function f on [-3,3]. ครั้งที่ Determine the…

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Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: 3 2. Find the area bounded by the two curves y = x = x³- 6x²+ 8x and y = x² - 4x.

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A: Solution is here

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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Q: Pleaase help me in my subject Calculus   The volume for solid revolution between the curves y =…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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Q: Solve the improper integral and determine if it is convergent and divergent 9 √2 (1-32), dz Oa .…

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Q: what is the final answer? can you write the final answer in 7/6 leters/min?????????? whats that?

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

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Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

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A: We have to find value of area of shaded Region.

Q: 13. Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

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Q: Evaluate the following: 1. lim (et+t)¹/t t→0+ z4-z²-2z+2 2. lim z 1 z8-2z4+1

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Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: S (3-√5x) dx √7x

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Q: 4 -1 서 sy9921 dyiyF0 ry ; yfo

A: Solution of given question is written in below steps.

Q: 1. x3y2 + xy3 = 2x2

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Q: Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: -1 33x So 43x dx 0 O 0.6698 0.6670 O 0.6699 0.6671

A: Solving the definite integral by using substitution.

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Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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Q: Let y = = 1/2 √ √x. Then evx dy dx is:

A: