Find the volume of the solid obtained by rotating the region A in the figure about y = -3. y=x² +b B Assume b = 6 and a = 6.

Q: Question Using the limit comparison test with a geometric comparison series of 9n determine if the…

A: To find the series convergence or divergence.

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Q: Find the total area of the shaded region boundeed by the following curves: x = 12y^2 - 12y^3 x =…

A: The given curves are: x=4y2-4y           and            x=12y2-12y3

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A: Given query is to find the the value of A at different points.

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A: Given query is to find the amount after 8 years when compounding continuously.

Q: 10 Find the derivative off with respect to x of f(x) = In x¹0. 10 The derivative off with respect to…

A: Given query is to find the derivative.

Q: Find

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Q: Evaluate the following indefinite integral fx-9/4 dx = +C

A: We need to find out the integration.

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Q: The monthly demand function for a product sold by a monopoly is p = 1,792 -² dollars, and the…

A: NOTE: Refresh your page if you can't see any equations. . the demand function and average cost…

Q: Problem #7: Evaluate the following integral SS 8x + y (5x-y) ln(5x-y) R Problem #7: dA where R is…

A: Here, R is the region bounded by the graphs y=5x-e2, y=5x-e6, y=-8x+9, y=-8x+6. Now, using the…

Q: Simplify completely. Assume the variables represent positive values. √6x²y-√√/36xy²

A: Simplify the expression completely

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Q: The largest set on which the funtion f(x, y) = √x+y-√√x -y is continuous is A. {(x, y) - x <y<x}…

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Q: Differentiate the following function. f(x)=-9-3x+7 ex f'(x) =

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Q: the method of cylindrical shells to find the volume V generated by rotating the region bounded by…

A:

Q: For what sort of problems are the integration techniques of substitution and integration by parts…

A: Integration by substitution mathod is used when two functions are given in the integrand and one is…

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A: we need to find the number of years to take the world population double.

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Q: The direction angle y of the vector (1,1,1) is 45° Cos-¹) 60° 30° BO .CO .D O

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Q: Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: Derivate s with respect to t and then equate that to zero putting t= 40 sec

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A: Since you have posted multiple subparts questions in this question so i have solved first 3 subparts…

Q: ه يمنع الانتقال إلى السؤال التالي إجراء تغييرات على هذه الإجابة. السؤال 4 AO .cO 45° cos( ) 60° 30⁰…

A:

Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), f(t) = - 1/2 <²<= // ¹ ( ² ) = -3

A: Given that, f't=sectsect+tant, -π2&lt;t&lt;π2, fπ4=-3 We have to find the function ft

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A: Use tangent concept

Q: olution to the following

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Q: sin-1 1 5

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Q: If -5xy - y² - 3x³ dy that = dx = 1 and it is known 5y+9x² -5x-2y' find all coordinate points on the…

A: We are given a curve  -5xy-y2-3x3=1   and we are also given that dy/dx = (5y+9x2) /(-5x-2y)  ...A We…

Q: Solve sin (3x) cos(5x) - cos(3x) sin(5x) = for the smallest positive solution. X = = - 0.7 Give your…

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Q: For the function f(x) 4 v7-51 use the definition of the derivative to find /'(x).

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Q: I 1. Solve the following separable differential equation box your final answers. 2. xy dx (x + 2)dy…

A: See this solution in below.

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Q: Find an equation of the tangent plane to the surface at the given point. xy² + 3x - z² = 4, (5, -1,…

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Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

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Q: The monthly demand function for a product sold by a monopoly is p = 2,220- - 3x²0 dollars, and the…

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Q: dy dx y = 8 log 5x Find dy dx || (Simplify your answer.)

A: Given; y=8log5x.

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Q: you have been given the following innitial value problem. please Solve it. your answer must must be…

A: Given: Now,             dydx=y2-8y+7⇒dyy2-8y+7=dxIntegrating both…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: inflection point =[2π,0] concave up= [2π,4π] concave down=[0,2π]

Q: Differentiate the function. f(x) = 7x ln(5x) − 7x

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Q: Consider the initial value problem (ty" Sty" + {y(1) = and y'(1) 2 e Given that y, (t) = et is a…

A: we use reduction of order concept.

Q: L₁ x³ +4 (x+8) (x+6) dx

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Q: -4 -3 -2 -1 Clear All Draw: 4 3 2 1 -1 -2 -3 -5- ✓ 1 2 3 4 E 5 3 4 te: Be sure to include closed or…

A: Topic:- calculus