6.2 Finl the Voune of the Selid enclosed by the curves y=eX, y=0 x=0,'= "about the x-axs.

Q: (10) Explain how to calculate dr at the point on the folium of Déscartes

A: we have to find derivative

Q: Consider the curve C parametrized by (x, y) = (3 cos (-10t), 3 sin(-10t)), for –x/2sts a/2 Then C is…

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Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

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Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

Q: What is the length of the part of the curve y squared = (x-1) between the points (1,0) and (2,1)?

A: To find- Length of the part of the curve.

Q: cerve X= Si▪ (Zt), y=Gs(±t), them dvaw the Culve

A: Given is the curve x=sint2, y=cost2 We need to eliminate t to find cartesian equation.

Q: Determine the inclination of the curve y=x²-x+1 at (1,1)

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Q: Question 10 W Let C be the curve defined by æ² + y² = 36. Consider all points (x, y) on curve C…

A: Equation of curve C is given by  x2+y2=36, y&gt;0

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t=0 tot = 3.

A: A detailed solution is given below

Q: Зп 2. Find the exact length of curve y = ln (cosx), * < x < n. 4

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Q: 13. Find the length of the curve 1 8 4y² X = =+₂ from y = 1 to y = 4.

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of…

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Q: Find the arc length of the segment of the curve between the lines x-1 and x-16

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Q: 6a) Let A be the parabolic arc defined by the equation y = 8x – x´ over the domain interval [0, 8].…

A: (a) Consider the given function. y=8x-x2 Now, draw the above function by using the calculator.

Q: For the curve r-y +2xy-y+1=0: a) Find the derivative dy/dx. b) Where do the horizontal tangent lines…

A: follow the next step

Q: Suppose that a curve is given by the equation y2=x2+x+1 which defines y as function(s) of x Find…

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Q: 1.) The slope of the tangent line to the wve y?= 5+-1 at PCi,e) 2.) Find the First denivative of…

A: Using derivatives.

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: 2. Find the exact length of the curve. y y = (5 + x)² ,0 ≤ x ≤ 1

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Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

A: