) Find the volume of the solid whose base is the region in the first quadrant bounded by y = x5, y = 1, and the y-axis and whose cross-sections perpendicular to the x axis are semicircles. Volume =

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A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

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A: Note:- Please repost part B because unable to understand  right side of differential equation…

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A: Given that       y = ex, 1<=y<=7; y-axis

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A: Given problem:- Define a polynomial function with all of the following properties. Roots: x=7, x=-8,…

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A: We have to complete the proof of property 4.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

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Q: 1) Simplify the expression for f(x + 1) - f(x) where f(x) = e2x - 1) . ) 0 (2 - 1) b) O (2-1)(2 - 1)…

A: option (b) is correct. see below the calculation

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A: We have to solve above question.

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Evaluate the ff (show all steps) S COS (Inx) dx

A: See the details solution in below

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: Evaluate the integral. Select the correct answer. 432 3 216 3 In 36- 432 3 In 36- none of these 432…

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Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

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A: we have given the graph of f(x) we know that at maxima and minima f'(x) =0  (means slope at that…

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Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

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A: Here we have to find the volume.

Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

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A: This question is based on diffrentiation equation and solved using Laplace transform.

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Q: 2x et. Vi-eza ex fer.

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Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

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A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

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Q: Consider a continuous function f(x). The function has critical points at x = 0, x = 2, and x = 3.…

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Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: es (x²+bx+c)² dx

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Q: (x²-1)³ dx √x

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Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3