Please please type by computer  Describe how reversing the orientation of a curve C affects the implementation of Theorem 15.4 in the text

Q: Find the exact length ot the curve

A: We have to find arc length of a curve  in a given interval .Curve is defined below:

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: 5. Trace the curve r = sinocos³o.

A: Given curve: r=12sinθ cos3θ

Q: Dont evaluate find exact lenath Of curve Cindicalo y=! (eX te*) Set UP (1) X=2

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Q: :If the tangent at (a, b) to the curve x³ + y° = c° meet the curve again in (a,,b,). b, Prove that…

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Q: Please show the mathematical reasoning on why these are all equal curves

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Q: Show that the following set is a curve: K = {(x, y) E R² | xy – x = 1}. Briefly explain your…

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Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed…

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,…

Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

A: The equation of line is y = mx + c and the general equation of circle is (x – a)2 + (y – b)2 = r2…

Q: Find the exact length of the curve. 23/2, Osxs 6

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 4)3,  P(1, 5),  Q(27,…

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Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: (x – 2)2 + y² = c² %3D

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Q: zejz dz, 22 – 5z +4

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Q: A line that intersects a circle at only one point is called a tangent. O True O False

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Q: a) Sketch (hand drawn) the intersection of y? + z² = 25 and x = 3 in 3D. b) Also, describe the the…

A: When two surfaces intersect each other, a new curve is formed. The curve is referred to as the curve…

Q: Find the length of the curve. 2,3/2,0 st s9 x= 4t, y 3 61 242 2 3 O 2. seçenek 4. seçenek 122 61 3 3…

A: We can find the arc length as below

Q: Demonstrate that the circles (x – 2)? + y² = 2 and x? + (y – 2)2 = 2 share tangent at point (1, 1),…

A: Here we will apply the concept of finding the equation of tangent to the two circles at point (1,1).

Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

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Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 2

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Q: Sketch the following curves. 33. y = 2x + 3x2 + 1 %3D

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Q: Determine if line AB is tangent to the circle. 16 12 Tangent O Not Tangent

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Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

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Q: Trace the curve r = sinocos'o. 2)

A: Given: r=12sin3θcos3θ Explanation: r=12sinθcos3θat θ=0r=12sin0cos30=0⇒r=0at…

Q: Suppose the angle formed by the line y = 4x and the positive x-axis is 0. Find the tangent of 0. %3D…

A: The objective of the question is to find the tangent of angle that is formed by the line y=4x and x…

Q: Find the segment length indicated. Assume that lines which appear to be tangent are tangent. 10

A: the tangent line is always at right angles to the radius at the point of contact.

Q: Find the olar eauatiDo for the Curve represented by the given Cartesian eawation.

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Q: 36y2 = (x2 − 4)3,    2 ≤ x ≤ 6,    y ≥ 0

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Q: sketch the curve r=1-3costheta

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Q: Suppose the angle formed by the line y = 8x and the positive x-axis is 0. Find the tangent of 0. >…

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Q: A line OP through origin U is inclined at 30 which it is inclined to OZ.

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Q: nath A = 30, B = 20, C = 11, D = 22. 3. Discuss how to evaluate Z enclosing the origin. dz, where C…

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Q: Find the length of the curve. 2ti + etj + e k, 0<tS 4

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Q: Consider the curve y(x) = sin x. Which one of the following statements is true?

A: sinπ2 = 1

Q: 7. Determine if line AB is tangent to the circle. Show your work. B 6 12 16

A: Use circle property

Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: b. Consider the following diagram including a circle with center Q and radius of length 4. Consider…

A: given,       radius of the circle OA=OC= 4

Q: Find the exact length of the curve. 23/2 12, 0 <x < 1 y =

A: Given : y=23x32,       0⩽x⩽1   To find : Curve length

Q: Find the exact length of the curve. y = (1 + x*,3/2, OSxS 5

A: The curve is y=231+x232 , 0≤x≤5

Q: 1, Tell whether AB is tangent to arcie C. 20 16 8.

A: We have the given circle C. The length of AB=16 units. The length of AC=8 units. The length of BC=20…

Q: Find The directed distance of The curve Lit Vittz

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Q: Find the length of the curve ƒ1x2= x3&gt;2 between x = 0 and x = 4 (as shown).

A: Given curve is fx=x32. To find the length of curve between x=0 and x=4. Solution: We know that…

Q: Find the DE of the family of plane curves describe and sketch some of its members. Straight lines…

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Q: determine the area of one leaf(petal) of the rosde curve r = 2sin(3Θ)

A: