Determine at sight the direction in which the curve opens. Locate the vertex, focus, and ends of the lotus rectum. Draw the curve: (y – 3) = 12 (x+2)

Q: 4- Sketch the curve 9x - 4y = 36.

A:

Q: The center distance of the curve from the y-axis is shown below. Find b - а. a units

A:

Q: find a cartesian equation for the curve r2 = 14

A: Find a cartesian equation for the curve         r2 = 14

Q: Find the cartesian coordinate of the point P(r, 0) = (v/20, ÷). Plot the graph

A:

Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

A: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

Q: the points where the curve meets the axes.

A: y= (x-2)(x+1)(x+2) When x=0, y=-4 When x=1, y=-6 When x=-1, y=0 When x=2, y=0 When x=-2, y=0 When…

Q: Q2/ By using polar coordinate, graph the curve r=1-2cos 0.

A:

Q: Identify the curve by finding a Cartesian equation for the curve r = 4secθ

A: The given curve is,

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY   Y2 = x2+5x−4/x−5

A: Given,           y2=x2+5x-4x-5

Q: Find the center and radius of the circle defined by the equation given below. x2 + 2x + y? + 10y =…

A:

Q: Find a Cartesian equation for the curve and identify it. r2 = 14

A: We have to find Cartesian equation

Q: Name the type of basic curve that each pair of equations represents (lines, parabolas, circles,…

A: Given data:     The first given equation is: y=3sin(t). The second given equation is: x=3cos(t).…

Q: For each curve in Figure 31, state whether it is symmetric with respect to the y-axis, the origin,…

A: To state whether it is symmetric with respect to the y-axis, the origin, both, or neither.

Q: graph the curve and draw an arrow specifying the direction corresponding to motion.  x = 2 + 4t, y =…

A: Given, x=2+4t, y=3+2t

Q: Find an equation of the circle that satisfies the given conditions. (Use the variable x and y.)…

A:

Q: Change this equation in to circle graphing form, showing work: x² – 10x + y? + 4y – 11 = 41

A:

Q: Sketch the graph of the curve r = 2+4Cose

A: Given equation: r=2+4 cos θAmplitude: 4This equation will have the same time periodas sinθ which is…

Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

A: Given, y=3-t   and  y=-3t

Q: Find a Cartesian equation for the curve and identify it. 12 = 2

A:

Q: Graph the relation of equation y2+14y+4x+45=0 using the points calculated in the table below.…

A: given,         y2+14y+4x+45=0     x               y -10 -9 -8 -7 -6 -5 -4

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: II FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY| 6. y =-4x-12 x²–2x-3

A: In the question it asked to find properties of the curve Y2=x2-4x-12x2-2x-3.

Q: Find the angle of intersection.of the curves X+yー4 dd xt=4メ 2. %D

A: The angle of intersection between 2 overlapping circles is the angle between the tangents at any of…

Q: Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a) 3…

A: Given, The curve y =6x  and the point 15, 0  We have to find the shortest distance between the curve…

Q: Determine the equation of the directrix of the curve 3x=2y2-4y+7 (Graph Solution) a. x=30/20…

A:

Q: (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

A: Given equations in the parametric form as:x= cos2(t), ............................(1)y = sin2(t)…

Q: Find a Cartesian equation for the curve and identify it. r2 = 10

A: Given, We have a polar equation  r2 = 10

Q: Eliminate the parameter to find a Cartesian equation of the curve.

A: Given  x=sin(t)  y=csc(t) and 0<t<π/2 We need to find the Cartesian equation and graph

Q: find a cartesian equation for the curve r2cos(2θ)=1

A: r2cos2θ=1

Q: Find the equation of the circle with center on the y-axis and has y-intercepts at 7 and 1.

A:

Q: At what point do the curves  r1(t) = t, 5 − t, 35 + t2 and  r2(s) =  7 − s, s − 2, s2  intersect?…

A: In the question we have to find the intersection point and angle of intersection.

Q: FIND THE PROPERTIES OF THE CURVE (w/step-by-step solution) AND SKETCH FUL х2 — 4х — 12 y? - х2 — 2х…

A: The domain and range of any function can fully describe about the nature of any figure or curve. The…

Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. Y = 3x5 – 5x3 + 4

A: Given The equation is y=3x5-5x3+4.

Q: Y = 3x5 – 5x3 + 4

A: Given function is: f(x)=3x5-5x3+4 Given function is polynomial function whose domain and range are…

Q: Find the properties of the curve and sketch fully   y2=x^2-4x-12/x^2-2x-3

A: I have provided this answer in step 2.

Q: 4. Convert the equation r =8cos0– 2sin0 to Cartesian coordinates and fully describe the resulting…

A: see below the answer

Q: Find the angle of intersection of the following curve. xy = 6 and x'y = 12

A: As we know that the expression for angle of intersection of two curves is:…

Q: 4- Sketch the curve 9x + 16y = 144.

A:

Q: Task 2: Find the point on the curve y = x^2 closest to the point (0, 15)

A: answer is in next step

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY 6. y2 = x²+5x-4 x-5

A: Given, the function y2=x2+5x-4x-5. We have to sketch the given curve. Also, find the properties.

Q: Find an equation of the circle with the following. characteristics and sketch its graph. tangent to…

A:

Q: Identify the type of curve given by each equation. r = 4 + 13sin 0 Cardiod Limacon Circle Lemniscate

A: A cardioid is a heart-shaped plane figure. It is a curve which is defined as the locus of a point…

Q: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

A:

Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x…

A: Given y= ln(2x - 5)  The domain of a function is the complete set of possible values of the…

Q: Trace the curve r

A: we have to trace the curve r=12sinθcos3θ

Q: 16) Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

A: The given parametric equation is x=1t and y=2t2

Q: find a cartesian equation for the curve r=3cos(θ)

A: Cartesian equation for the curve is r=3 cos(θ)   Now x=r cos(θ)  …….. equation(1) cosθ=xrr=3xcosθ…

Q: =+ dr x = 2 ke x = 3 16 2x2

A: