The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at most 0.05 cm. Estimate the percentage error in using this value of the radius to compute the volume of the sphere (Round your answer to two decimal digits.)

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A: We will use the formulae of Laplace transform of derivatives of a function.

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A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

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A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

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Q: %3D

A: Solving

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Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

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A: We have to find the integral using left and right endpoints.

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A: We have to find if the given series converges or diverges.

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Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

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Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

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Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

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Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

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A: Given:

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Q: In a circle of radius 38, find the length of the arc spanned by a central angle 4 radians. Round…

A: Given the query is to find the arc length.

Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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Q: Let y = f(x) be some function and suppose f(4) = 3. %3D If the tangent line to f at a 4 passes…

A: On solving this we will get

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Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: Find the limit of s(n) as n-* s(n) = Z1+ j =1\ O 17/12 O 14/3 O 10/3 O 20/3 5/6 A Moving to another…

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Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: Let C be the parametric curve defined by                         x(t) = t2 - 2;…

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Q: 3 dx x? + 9

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Q: QUESTION 2 Assume that we have the following function: f(r1,x2) = 2xf + x5 – 4x1x2 on S = R. Is it…

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Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.

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A: The objective of the question is dividing the given polynomials.

Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

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Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…

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Q: Solve the given Exact Equation. Be sure to supply all the steps that lead to your answer. (cos x cos…

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Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

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