a. For the straight line segment, x ds = (Type an exact answer.) b. For the parabolic curve, x ds = (Type an exact answer.)

Q: In the given image, ⊙P is centered at (10, −6) with the x-axis tangent to the circle at point T.…

A:

Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

A:

Q: Given a unit circle, what is the negative value of x having an y-coordinate of 0?

A: Given :Unit Circle Equation : x-a2+y-b2=1

Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: The length of curve C highlighted in the drawing corresponds to:

A: This is a problem of multi-variable Calculus, where one has to find the arc length after the…

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

A: Find the length of curve:

Q: Determine is line AB is tangent to the circle. 13 11.5 B 6.6

A: follow next step

Q: Find the exact length of the curve. x = et + e-t, y = 5 – 2t, 0 st< 4

A: Given curve: x=et+e-t, y=5-2t We have to find exact length of the curve at 0≤t≤4. Length of the…

Q: Determine if line AB is tangent to the circle. 15 8. B. 6.

A: Yes AB is tangent to the circle.

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Find the exact length of the curve. x = e - 9t, y = = 12e2, 0 sts 4

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Q: Find the exact length of the tangent to the circle with equ a? + 8x + y? – 6y + 16 = 0 from the…

A: Topic:- Geometry

Q: Find the exact length of the portion of the curve shown in b r = 0+ 2 2 (i)

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Q: Which of the lines in Figure  are tangent to the curve?

A: Given, A curve with lines A,B,C,D from geometry we can define tangent as a tangent line on a plain…

Q: Which of the following curves pass through the point (1, 4)? c(t) = (t 2, 3 − t)

A: A point lies on a curve if it satisfies the equation of the curve. Substitution of the point into…

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: Given curve is, y=2 + 2x32,  0≤x≤1 Find the exact length of the curve. Length of the curve:…

Q: At what point do the curves r¡(t) = (t, 1 – t, 3 + t²) and r2(s) = (3 – s, s – 2, s²) intersect?…

A: Given Data: Curve 1: r1t=t, 1-t, 3+t2 Curve 2: r2s=3-s, s-2, s2   For the intersection point,…

Q: Find the following for each pair of points:(a) The distance between the points(b) The midpoint of…

A: Given: Pair of points are given: 0, 0 and 4, 2 To Find: (a) The distance between the given points(b)…

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

A:

Q: A 9.2 B 6.9 4.6

A: The length of the side AB=9.2 units. The length of the side BC=6.9+4.6=11.5 units.

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

A:

Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed 30 40…

A: Parabolic curve fitting : Let the fit curve is y=a+bx+cx2. Then the normal equations are…

Q: (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

A: Given equations in the parametric form as:x= cos2(t), ............................(1)y = sin2(t)…

Q: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

Q: Let P(0) be the terminal point of 0 on the unit circle. What is its x-coordinate if y = b – 1?

A: P(θ) be the terminal point of θ on the unit circle.

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: Which of the following is the equation of family of unit circles tangent to x-axis? A (x-r)² +(y-r)²…

A: We have to find the equation of family of unit circles tangent to x-axis.

Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point…

A:

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

A:

Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: At what point do the curves  r1(t) = t, 5 − t, 35 + t2 and  r2(s) =  7 − s, s − 2, s2  intersect?…

A: In the question we have to find the intersection point and angle of intersection.

Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: For the circle x² + y? = 2, which of the following is the equation of the tangent line at the point…

A:

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

A:

Q: 4. Convert the equation r =8cos0– 2sin0 to Cartesian coordinates and fully describe the resulting…

A: see below the answer

Q: The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

A:

Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: The given curve is rotated y = 3 - x2,

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Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

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Q: r(t) 12t i + 813/2 j + 3t² k, 0 < t<1

A: Here We have to find the length of the given curve.

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

A:

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point…

A: I am attaching image so that you understand each and every step.

Q: Find the length of the curve r

A:

Q: Find the exact length or the curve 2.

A: The given curve C is as shown on the white board. Length, L is given by the standard formula shown…

Q: 1. a. What is the equation of a circle with center (6, 0) and radius 5? b. Is the point Q(2, 3) on…

A: (a) The equation of a circle with center (6, 0) and radius 5 is:…

Q: WEEK 6 (Theorems on Secant and Tangent Segments of a Circle) 1. Find the value of x in each of the…

A: We have to find the value of x in each diagram.   According to our guidelines we can solve only 1…

Q: find a cartesian equation for the curve r=3cos(θ)

A: Cartesian equation for the curve is r=3 cos(θ)   Now x=r cos(θ)  …….. equation(1) cosθ=xrr=3xcosθ…