4. Convert the equation r =8cos0– 2sin0 to Cartesian coordinates and fully describe the resulting curve. Do not need to graph the curve.

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: The standard form of the equation of a circle with center (h, k) and radius r is

A: Consider the given information. The center of the circle is (h,k) and the radius is r. Substitute…

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

A:

Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

Q: ecall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

Q: Discuss the properties of the curve and sketch fully (drawn to scale) 1) Y = 3x5 - 5x3 + 4

A: Find the attachment

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: Identify the type of curve given by each equation. r = -12sin 20 O Limacon O Circle Spiral of…

A:

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: The general equation for a circle is ( x - h )2 + ( y - k )2 = r2. substitute h=0, k=1 and r=3 into…

Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -15 xs 3. Check your answer…

A:

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: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Find the center-radius form of the equation of the circle satisfying the given conditions.3) Center…

A:

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Recall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4,…

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and…

Q: Find an equation of the circle that has center C(3, -2) and is tangent to the line y = 5.

A: We have, the center of the circle as C3,-2. Also line y=5 is tangent to the circle. As we know that,…

Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

Q: 1) Draw the circle ( x + 1 ) ^2 + ( y + 3 )^2 = 4 . 2) Write the equation of the circle centered…

A:

Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

A:

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A:

Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed 30 40…

A: Parabolic curve fitting : Let the fit curve is y=a+bx+cx2. Then the normal equations are…

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: 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 2+31 and radius4 units. (A) (x-2) +(y-3) =4 (C) (x-2)…

A:

Q: 4. Write the equation for a circle tangent to the y-axis and with center (5, 6). It may be helpful…

A:

Q: Sketch the graph of the equation.

A: Given equation: y=2cot 12x+π4

Q: At what point(s) does the line with equation y=2x+5 intersect the circle with radius 5 and center…

A: This question is related to circles and straight line, We will solve it using given information.

Q: The equation of the circle tangent to both axes with the center in the fourth quadrant and radius 2…

A: Equation of the circle is given by: (x-h )2 +( y-k )2 = r2 Where, (h,k) is the center and r is 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: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: The equation of line y=0.5x+4the circle with radius 6 and center (0,4)

Q: the standard form of the equation of the circle with center at C (0,0) and radius 5 is

A: Standard form of equation of circle (x-h)2+(y-k)2= (R)2 where, (h,k) is center of circle R = radius…

Q: Which of the following is the equation of the circle with center at (-4,1) and with radius equal to…

A: A circle has center (-4,1) and radius 6

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

A:

Q: At what point in the first quadrant does the line with equation y=2.5x+4 intersect the circle with…

A: We will solve graphically as nothing is specified. We have that the radius of the circle is 5 and…

Q: Find the equation of the circle with center at (−2, 1) and that passes through the point whose…

A: The center of the circle and a point through which the circle passes is given as follows.

Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

A:

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: At what points will the line y =x intersect the unit circle x2 +y2 =1 ?

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

Q: Find the equation of the circle with center at (−2, 0) and that passes through the point whose…

A: Given:Center of the circle is (–2, 0).Point through which the circle is passing: (–4, –5)

Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

A:

Q: 1. a. What is the equation of a circle with center (6, 0) and radius 5? b. Is the point Q(2, 3) on…

A: (a) The equation of a circle with center (6, 0) and radius 5 is:…

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