Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about the y-axis. (Round your answer to two decimal places.)

Q: Q1/ Determine the interval of convergence and the radius for the following power series (x - 2)" Σ…

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Q: What is the volume generated by revolving about the x-axis the region enclosed by the graphs of y =…

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: Evaluate x/10 Than S 11√1+ cos 10x dx. 0

A: We know that integration of cosx is sinx +C . And trigonometry relation is - Cos2x = cos2x - sin2x =…

Q: -(x²+y) dx x+siny B)Solve differential equation =

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Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

A: Given :fx=7xgx=x+2hx=1x+5

Q: 16. Integral Ydy 6y2-1

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Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

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Q: finding Ⓡ a se lim, soo Jn. = JA n

A: given

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

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Q: A manufacture has been selling 1600 television sets a week at $540 each. A market survey indicates…

A: (a) Here x is the number of television sets sold per week and p(x) is the corresponding price in…

Q: Determine dy/dx of = 3x(sin(2/2)) O None of the choices O 12/cos (2/2) + sin(2/2) 0-12 sin(22) + 3…

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Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' + y = sin(x) + 4…

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2e…

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Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

Q: Which equation could be represented by the number line? A. -9+8 = -1 B. -4+ (-5) = -9 C. -1 + (-9) =…

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Q: Find the minimum and maximum values of z=6x+7​y, if​ possible, for the following set of constraints.…

A: The given constraints are: x+y≤9-x+y≤32x-y≤12

Q: A region bounded by f(x) = √√4 — x², y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Determine dy/dx y = (In 2x) - (ln(3x + 1)) 1 3x²+x 3x 1 None of the choices 1 3x²-x

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Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: Use the matrices below to perform matrix multiplication. B = If the operation is undefined, enter…

A: We have to find products

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: Determine the number of points of intersection for the planes: T₁: 3x-6y + 12z - 6 = 0 and 7₂: 2x -…

A: We want to find number of points of intersection of two planes.

Q: O- - 1 2x (In x)2

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

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Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…

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Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]

A: We have to find derivative of given function.

Q: Evaluate the following triple integral by hand: 2 √z } } } - dxdydz = 3 z=1 y=2 x=-1 X y

A: Topic = Integration

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

Q: Evaluate: S (5 — 2 sec 0 tan 0) de - O 0.79 0.68 O 0.95 0.84

A: ∫π6π4(5-2secθtanθ)dθ

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

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Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is

A: Given

Q: for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are…

A: It is given that: h(x)=x2-5x-24,j(x)=5x+15

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e