Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases. x = e-t + t, y = e* – t, -2

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: Convert into rectangular coordinates. (2,-) 3

A:

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

A:

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

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Q: 5. A line is defined by the parametric equations x = -2 – t, and y = 4+ 2t, te R (a) Does the point…

A:

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

A:

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: 37. Find the coefficients a, b, c, and d so that the curve shown in the accompanying figure is the…

A:

Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: P(-3,2,-3) and Q(1,-1,4).