Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

Q: Suppose (P. O) is the point on the graph of y =Vx closest to (1. 0) - What is the value of P+ 1-

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Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Find the area of a triangle bounded by the y axis, the line f(z) = 9 -1, and the line perpendicular…

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Q: Find the abscissa on the curve x²=2y which is nearest to a point (4, 1). А. 0 С.2 В. 1 D. 3

A: Use the distance formula then minimise using derivative.

Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: find the length of the curve 3/8 (x^4/3 - 2x^2/3) x = 1 to 8

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Q: Find the exact length of the curve.

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Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

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Q: Find all points on the curve 5x² + 8y² = 64 %3D

A: Given: The curve 5x2+8y2=64 where tangent line passes through the point (11, 0). To find: All the…

Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

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Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: If the distance from P(1, 0) to the point T(1 ) is x, determine the coordinates P(1,0) of the point…

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Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: Find the length of the curve: x3 1 y = - 3 4x' 1<x< 3

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: Find the exact length of the curve. y = 3 2x3/2, 0 < x < 6

A: We have to find length of curve

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: The length of the curve y = from x = 0 to x 6 is

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Q: 11. Find the length of the curve y = 2x3/2 x!/2 from x = 1 to x = 4. 2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

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Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

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Q: B. Find the length of the curve y= x2 from x = 0 to x = 7.

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Q: A molecule is moving along the x-axis such that at any time t 2 0 (in seconds), its position from…

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

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Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

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Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: Consider the following. 2 X- 3 x² - 3 x (a) Find the points of intersection of the curves. (x, y) -…

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Q: Suppose (P. 0) is the point on the graph of. y=Vx closest to (1, 0) - What is the value of p + Q? 3…

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Q: The equation of the curve in the tx-plane which passes through the point (2,3), and has, at every…

A: In this question, slope of curve and point is given and we have to find out equation of cuve.

Q: And the sope and y-ntercept (r possble) of the Ine. Lir- 14y - 2 Arst, we must rewrite the equation…

A: Given  13x-14y = 28 equation of a line in slope intercept form is given by  y = mx+c         where m…

Q: ) Let Z = 3x2 – y². Find all points at which |VZ| = 6

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Use Lagrange multipliers to find the point on the circle x2 + y2 = 1 which is (a) closest to and (b)…

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Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

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Q: Find the point on the circle x2 + y2 = 1 that is closest to the point (1, 3/4) by using the method…

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Q: Find the length of the curve of y=x³/2 from x=1 to x=4.

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Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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Q: A curve on the ry-plane passes through the point (0, a) for some number a, and has the property that…

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Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x&gt;0 For the curve to be convex its second…

Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

Q: I need to solve this question

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Q: Find the exact length of the curve. V=5+8x3/2 0<x<1

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Q: Evaluate F. dr,where F(x,y)=j and C isthe part of the graphof y = 12x³ – x from (2,2) to (– 2, – 2)

A: Line integral is integral of some function along a curve or path. Any field for which the line…

Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

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Q: Find the shortest distance from the origin to x2 − y2 = 1.

A: Definition used-         The shortest distance from a point to curve is the perpendicular distance…

Q: Find the points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12