1. (a) What geometric object does the equation r=0 corresponds to in (i) 1 dimension? (ii) 2 dimensions? (iii) 3 dimensions?

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Q: 4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards…

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Q: Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Latus Rectum

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Q: 2)Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: 3. The system of equation 1x + 2x* + 3ху + 0.y %3D6 2x + x² + 3xy +1.y 5 х -х* + 0.ху +у%3D7 (a) has…

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Q: Question no. 1 Describe and the solution set of x, +5x2 -3x3 = 0 and x, + 5xr, – 3x, = -2 compare…

A: Solution: Consider the given set of equations : x1 + 5x2 -3x3 = 0x1 + 5x2 -3x3 = -2 Since the…

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A: The equation  a+b=c could be true or false ,  a) if a=3, b=4 and c=5 , is eqaution is true or false…

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A: We will find the maximum value of y, which will represent the maximum height that the mouse can jump

Q: sheets of paper for your solutic 1. 49x? – 25y + 98x - 50y- 1201 = 0. a = b = C = (h, k) = Vertices:…

A: Since you have asked multiple question As per our policy, we will solve the first question for…

Q: "s work below. She solved the equation 8(x= 3)+7 = 2x(4 – 17) incorrectly. rrors in her solution.…

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A: Given equation is z=3xy. We know that if we have equation z=kxy, then it means that z is directly…

Q: **6. у+x?+2%3D 4х + 2 y + 2x = 5 Turning Point: Axis of Symmetry: Roots: System Solutions:

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Q: Wrte cach equation In expotentiai form. 16) logs=-3

A: 16. Given: log3127=-3 Identity of exponents: logab=c can be expressed as ac=b.

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Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

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Q: Solve the trigonemetric form. x4-2U3 x° + 4 = 0 equation. Leave your Solution in %3D

A: x4 -23x2 +4 = 0              (1)Replace x2 by yy2 -23y +4 = 0              (2)Solve (2) by…

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Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

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Q: The trunk of a palm tree has cylindrical tubes that carry water. Each tube is 0.0003 meters wide.…

A: width of tube = 0.0003 meters diameter fo the palm trunk= 0.5meters

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Q: 1 1. Solve 8x? +1=--x by using graphing calculator. EDITOR Y = Y, = WINDOW [ ] by [ SOLUTION(S)

A: 8x2+1=-(1/2)x

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Q: 17. Two parabolas have functions given by f(x) = -.5z? + 2x + 4and g(r) = 3z2 + 4x + 2 Find the…

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Q: 1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first…

A: Note :As per our policy, we are allowed to answer only first two parts of question kindly post…

Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

A: Distance between the two red dots using distance formula is: D=11-32+10-32. Calculate it:…

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: 3 i Graph the solution of x - 2 <2. ++++ -10 -8 -6 -4 -2 0 4 6. 8 10 O OO A H 0 1 2 3 PREV

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Q: If a, b are complex constants and a real parameter, what does the equation z = a cost+bsint…

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Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given bythe graph…

A: (a) Find the maximum height of the cannonball reaches.

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Q: Find two solutions of y = x - 4 38 Point 1: (2, y) Point 2: (x, y) → Then graph: 51 4 3 2 4 5 -5 4…

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Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: 11 Find the equation of the line passing through the points (2, 2) such that the sum of its…

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A: The given equation is  ⇒y=2x4-3x2+1/x2

Q: 3. Give an explicit real value general solution following equations. 2 x 6x² + 8x = 2e-97 b) y"-y-2y…

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Q: shortest distance from the point (0,6) to the parabola x² – 4y = 0.

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Q: Area of the trapezium whose vertices lies on the parabola y = 4x and its diagonals pass through (1,…

A: Here  The vertices lie on the parabola y2=4x and diagonal pass through (1,0) and diagonal length…

Q: 4. Find the equation of a parabola with axis parallel to the y-axis and passing through ( ). G. 3…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Solve the equation by graphing. 2-1= 0 First, graph the associated parabola by plotting the vertex…

A: The standard of parabola is y-k=a(x-h)2, where (h,k) are the vertex. Compare the given equation with…

Q: What are the apparent roots of the equation graphed on the coordinate gid? -5 "5 4 3 2 101 2 3 45 -3…

A: The roots of the equation are the x-intercepts of the graph.  In the given graph, the x-intercepts…

Q: Solve 2**4 + 5 = -10 (3decimal point accuracy)

A: 2x can't be negative .

Q: If the quantities x, y, and z are related by the equation z  3xy,then we say that z isto x and to…

A: we have to fill in the blanks: if the quantities x, y and z are related by the equation z=3xy then…

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: 8. y = x- 2x Axis of Symmetry: Vertex: Sketch:

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Q: 4y2 4x2 4. = 1 9. O 25 a = b = C = - Vertices: Co-vertices: Foci: Standard equation: General…

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Q: 1) Find the intercept(s) and vert ex of the parabola. y=x^2-1

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Q: A parabolic arch 29 feet high spans a parkway. How wide is the arch if the center section of the…

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