Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis (…) if necessary {x ℤ- | -5 ≤ x < 10} {a  | 5.15 > a > - 8.98} {b ℤ+ | -4 < b < 0} {c ℤ} {d | d > 3 and d < 5}

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

Q: Find the midpoint of these two sets of points; (2, -5) & (-3, -10).

A: Given: The two sets of points are (2, -5) and (-3, -10)

Q: Q6A A-Graph the cubic shape formed by connecting the eight points {(0,0,0),(0,1,0),(2,0,0),…

A: A) Given: The eight points are 0,0,0,0,1,0,2,0,0,2,1,0,0,0,4,0,1,4,2,0,4,2,1,4. To find: Sketch the…

Q: Determine whether the statement is true or false. In R3 the graph of y = x2 is a paraboloid. O True…

A:

Q: Which of the following is a point of intersection of a circle and an ellipse with the respective…

A: Question is solved.

Q: Write the following equation in vertex form: x2 + 10x + y + 31 = 0 O (x+6)² = -(y-5) O (x + 5)² =…

A:

Q: a|x|+b|y|=c describes the graph. Four coordinates are (0, 4b) (0, -4b) (7a, 0) (-7a, 0). Find the…

A: Here from the given 4 coordinates we will establish the equation of line. Out of all the possible…

Q: Circles and parabola are functions A. True B. False

A:

Q: 2 + 49 1 36

A:

Q: Which of the following represents the graph of the circle shown below? O (x-3)2 + (y - 3)² = 1 O…

A: Graph of the circle is given, we have to find its equation

Q: Which point is NOT on the circle defined by y + (x – 3)² = 49? (-4, 0) Select (3, 0) Select (3, –7)…

A: The given equation of circle is: y2+(x-3)2=49

Q: A Place in order from widest to most namaw a y=x ² b. y=/2x2 c y-3x² d.y- 2x

A:

Q: Write the set using roster notation. Do not include repeats. Use the ellipsis button, if necessary.…

A: Given problem:- Y is the set of natural numbers between 50 and 600.

Q: transform y=x²+12x+32 into its vertex form and give the valuesof h and k

A:

Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O…

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we…

Q: Determine the vertex of each of the following parabolas. Then write each function in graphing form.…

A: Vertex form : y=((x-h)2+k) where (h, k) are vertex coordinates.

Q: The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What…

A: Equation of ellipse is (x-x1 ) 2 /a2+ ( y-y1)2/b2 =1

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. y = 2x +8 2 y = 3 -…

A: Let us consider the equation of parabola y=a(x-h)2+k Vertex of the equation is (h,k) The axis of…

Q: Give the center, foci, vertices & asymptotes. Sketch the graph y - x = 1 y + x

A: Here we have to use the concept of conic sections

Q: e You Prepared?' Answers are given at the end of these exer The intercepts of the graph of 9x² + 4y…

A: Given: The equation 9x2+4y=36. To find: The intercepts of the graph of given equation. Definition:…

Q: ther the space curve given by r(t) = (2t², t² + 2t - 8, t - 2) intersects the x-axis, and if it do…

A: Given space curve We have to determined whether it intersects x-axis or not?

Q: Grapk the following Lunctions - 4ーx2 f cx) = a- 2 X+2X x>1 b- gcx)= * x<o *く×

A: a)

Q: 4) Graph the following parabolic function. Indicate at least three points on the graph. y = - x2 +…

A: We need to draw graph.

Q: Determine the vertex of each parabola. 1. f(x) = x² + 2x – 15 - axis of symmetry: x = -1

A: We have to find vertex

Q: Find a basis for the orthogonal complement of the subspace of R* spanned by the following vectors.…

A:

Q: Let f (2) = . Let C, be the circle |2| = 7 in the counter-clockwise direction, C, the circle |z – 8|…

A: Complex integration