Given the parametric equations x = -t²-2 and y=-t +4t, where −3 st≤ 3, which of the following graphs represents the curve and its orientation?

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: Consider the function y = x2 + 0.1x + 0.03 a) write in completed square form, b) hence write down…

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Q: Find the slope-intercept form of the line with the following parametric equations: a = -2 + 3t, y =…

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Q: A put being thrown is represented by the parametric equations: x = 22.98t y=-16t² + 19.3t+6

A: x = 22.98t Here, x in terms of t represents the horizontal distance covered by the shot put. y =…

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: Draw the curve of the following equations by point - plotting. 1.) y = -2x +5 2.) x = -3 3.) y2 = 2x…

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Q: Which of the following points is inside the circle whose equation is (x – 8)? + (y – 5)² = 36 (3,11)…

A: We have to check which points is inside the circle whose equation is  (x - 8)2 + (y - 5)2 = 36 Let ,…

Q: b. Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: According to guidelines we should have been able to solve only one question at a time #b

Q: Two objects E and F are traveling by the following parametrically defined functions x = 2t - 4…

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Q: Which of the following equations describes a parallel line to y-3x+2?

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Q: The curve y r? - 6z +7 is symmetric bout O a. Y axis O b.X axis and Origin O cC. Y axis and Origin O…

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Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

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Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: We can find rectangular equation.

Q: Consider the following parametric equations, x=-t-2, y=-7t-7; -5st≤5. Complete parts (a) through (d)…

A: The given parametric equation is x=-t-2,y=-7t-7, -5≤t≤5

Q: Find the intersection point(s) of the curves whose equations are: 5x - 4 %3D 2x - 4x + 22 The…

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Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: The equation of circle is (x+2) +(y-1)=4. Evaluate at point de (3,-1). 5 5

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Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

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Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10