x(t) Find the point at which the line y(t) z(t) = = = 4 - 8t -4+ 5t intersects the yz plane. 6 + 2t

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A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find a plane containing the point (-5,-8,-7) and the line x (t) y(t) z(t) = = = −7+ 6t -3 - 2t - 2 +…

A: Given;

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Q: Find the point on the line y = 8x + 7 that is closest to the origin. (Hint: the distance between two…

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Q: L(t) = (−2,0, 3) +t(2,3,−4), _ne 27x+10y + 21z = 1279. is … -∞<t<∞

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Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

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Q: Q4:Show if the line (x = 5y +17, y+z-2= 0) lies in the plane 3x-41y-26z +1 = 0 or no ? Where does…

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Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…

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Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: Find a plane containing the point (-2, —8, 1) and the line r(t) = (−1, −1, 6) + t(−4, 1, 6). -18.5x…

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