2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: Find the length of the curve over the given interval. r = 8, [0, π/6]

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Q: Consider the curve segments: 1 - to x = 4 and 3 1 to x = $1: y = x² from x S2: y = Vx from x = = 16.

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Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

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Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

A:

Q: If the length of the curve y = 3 x7 from the point (0, 0) to the point (xo, f(xo)) is L = 8 , then…

A: Length of curve

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

A:

Q: 11. Find the distance from the point P(-1,2,-3) to the line given by X = x = 2t y =1+t z = 3t

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Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

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Q: 11. Find k if the curve y=x +k is tangent to the line y= 2x.

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Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

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Q: Find the exact length of the curve. y = In(1-x), 0sxs 8.

A: Given that: y=ln 1-x2, 0≤x≤18

Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

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Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: Find the length of the segment of the curve y = f (x) = e ^ x between the abscissa points x = 0 and…

A:

Q: An equation of the line tangent to the graph of f(x) = -x(1 – 2x)³ at the point (1,1) is a. y = -7x…

A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

Q: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

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Q: 42. Find k if the curve y = x2 tangent to the line y = + k is 2x.

A: The given line y = 2x, will be tangent to the y = x2 + k if and only if it touches the curve on a…

Q: If the line 3x - 4y = 0 is tangent in the first quadrant to the curve y = x^3 + k then what is the…

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Q: Find the length of the curve given by S(x) = (a -) defined on the interval (1, 2].

A: Consider the given curve:

Q: At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t)…

A: This is the problem of parametric equations and the theory of curves.

Q: Find the length of the following curve. y=4x^3/2 from x=0 to x=5

A: The given curve is y=4x32 from x=0 to x=5. Compute the arc length as follows.

Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: 1. Find the length of the curve y = x2 from x 1 to x = 4.

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

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Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: 3 Find the length of the curve y = x² – 2 from x = 0 to x = 4.

A: Given curve is y=x32-2 Upon differentiating we get dydx=32x12 We know that length of…

Q: Find the exact length of the curve. y = In(1 - x²), o s x s

A: Solve the problem using definite integral

Q: Find the length of the following curve. 3 y = 2x from x =0 to x=7

A: Given: y=2x32   from  x=0 to x=7

Q: ii) Prove that the straight line y = x is the curve giving the shortest distance between the points…

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Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: Find the exact length of the curve over the given interval. 4 3/2 X= 3 1sys4

A: Given curve is x=43y32, 1≤y≤4

Q: 1 Find the length of the curve f(x) + from x = 2 to x = 4. %3D 6. 2x

A:

Q: 11. Find all points (c, f(c)) 9. on the graph of f(z)= x³ – 3x² where the tangent line has slope

A: Given,       f(x) = x3 - 3x2       slope = 9

Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line a + y = -1 at the point…

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Q: What is the sum of the abscissas of the points where the tangents of the y=(1/3) x^3-(3/2) x^2 – 2x…

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Q: Find the length of the curve y = a +; from a = 0 to x = 1. O None 5/2 O6/2 3 O4/2 3. 3

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Q: Find the length of the curve between the specified interval: 3/2 a. y = x7² from x = 1 to x = 4 b. y…

A: (a) Given curve: y=x32 Interval x=1 to x=4 The length of the curve is given by the formula:…

Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: For what value of c is the curve y = c/(x + 1)tangent to the line through the points (0, 3) and (5,…

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Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

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Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

A:

Q: Find the exact length of the curve. y = In(1 - x²), o sxs

A: Find dy/dx, then put it in the arc length formula.

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.