Find the distance from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

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A: Given query is to find the weight of the dimond can be bought in $8900.

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

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Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

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Q: Find the difference quotient and simplify your answer. f(t) = 1 / t-4,  f(t) - f(3) / t-3,  t ≠ 4

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

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Q: Write the equation of the circle centered at ( – 6, 1) that passes through (16, - 16).

A: Topic:- geometry

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A: Domain is the set of  x-values for which function is defined.

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: Find a parameterization for the curve shown in the figure below. r(t) = where = -1 1,0 -1 <t<

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Q: Simplify the expression if ||v|| = 9 and ||w|| = 6. (Give your answer as a whole or exact number.)…

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Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

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