Consider the path r(t)=(t²,t-2t-3,t -3) in R. The path hits the x-axis at exactly one time. Find the x-coordinate at that

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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Q: Show that r1(t) and r2(t) define the same line, wherer1(t) = t (2, 1, 3), r2(t) = (−6, −3, −9) + t…

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Q: Find the curve in the xy-plane that has a slope at each point given by 1 and passes through the…

A: See attached file for a step by step explanation.

Q: 1 Find the fixed point and classify it: - 2x + 3y = 0. -

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Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Find the y-intercept of the equation y = 7x - 2 y-intercept: Enter an n-tuple (more..] Submit…

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Q: 5. Trace the curve: r = 4 cos 0 e (degrees) r e (degrees) r 8 (degrees) r 8 (degrees) r 165⁰ 180°…

A: To Sketch: the following curves: (1) y=x(x-4)(x+1)(x-2) (2) y=x2-4x+4x2+x-2 (3) y2=x3+4x2-9x-36. (4)…

Q: show that the x-intercept of the graph of Ax+By=C is (c/a,0)

A: Given equation,

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: The y intercept of the graph of y=-6x - 32 in the XY plane is (0,y). What is the value of y

A: The given equation is,

Q: calculate S S, y³ dA where Ris the vertex of the triangle (0, 2), ( 1,1) and (3, 2)|

A: In this question we have to calculate the following integral.

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: Graph the parametric curve ⟨t2−1,3t+2⟩⟨t2−1,3t+2⟩ over the interval −3≤t≤3−3≤t≤3. Identify all…

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Q: Use the result in Exercise 20 to find the equation of the line that contains (4, 5) and is parallel…

A: We know the important theorem is that the graph of Ax+By=C is parallel to the graph of Ax+By=D.…