Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

Q: Find the point on the sphere (x-2)2 + y² + (z+7)² = 25 nearest to a. the xy-plane. b. the point…

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Q: Find the distance of the point (3, 5, -4) from the line r(t) = (1 + 3t, 1 + 4t, 7 − 3t). Answer:

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Q: = The design of boats is based on Archimedes' Principle, which states that the buoyant force on an…

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Q: What is the shortest distance from the surface xy + 6x + z² = 41 to the origin? distance =

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Q: Find the length of the curve. r(t) = 3i + t²j+t³k, 0≤t≤1

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Q: What is the shortest distance from the surface xy + 9x + z² = 81 to the origin? distance =

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Q: 2-89. If F = {3501 - 250j – 450k} N and cable AB is 9 m long, determine the x, y, z coordinates of…

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Q: Find the distance between the planes 3x-y+6z=7 and -6x+2y-12z=1. Round off answer to four decimal…

A: Given: To explain the correct option of the given statement as follows, The given planes are 3x-y+6z…

Q: The graph of g consists of a semicircle and two line segments for -4 <x <4 as shown in the figure at…

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Q: Find the length of the curve, L. y? = 64 (x + 1)* , 0 0 L =

A: The curve is y2=64(x+1)3, 0≤x≤3 , y&gt;0

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: we have been given the parabola y=3x-4x2 to find the points put 3x-4x2=0⇒x(3-4x)=0⇒x=0, 34…

Q: 2. Find the equation of the tangent line to the parabola y² -2x+6y+ 13 = 0 that is perpendicular to…

A: The slope of the tangent at x=a for the curve: y=f(x) is equal to f'(a). If two lines are…

Q: Find the shortest distance between (3,4,1 ) and the plane X+y +Z = -2

A: Using distance between plane and point formula we can calculate.