True False An equation for the circle with the given center C(-3, 3) and radius a = %3D 4 is x^2 + 6x + y^2 = 0

Q: 1. Circles through the origin with centers cn the x-axis 2. Straight lines with slope and…

A: First of it requires basic formula for circle and straight line. Then we will apply the given…

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

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Q: How do you find a tangent line of a circle Equation: (x - 3)2 + (y - 5)2 = 5 Point: (4,7)

A: solution:- Given                x-32+y-52=5                 point  4,7The above lies on the…

Q: when curve y=arctan(x) is revolved about the y-axis, give the equation of the surface of revolution.

A: To find the equation of the surface of revolution

Q: Find the radius of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 units 9…

A: Given query is to find the the radius of the circle.

Q: I need help with writing a parameterization for the curves in the xy-plane. A circle of radius 4…

A: Write in parametric form

Q: x= y' , y= x+1, y=2, y=-2

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Q: Two circles of radius 4 are tangent to the graph of y = 4x at the point (1, 2). Find equations of…

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Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…

A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

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Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the…

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: Y = (2x – 1)2 (x2 - 9) %3D

A: Given that, y=(2x-1)2(x2-9) The y is zero is, (2x-1)2(x2-9)=0(2x-1)2=0,…

Q: Discuss the properties of the curve and sketch fully (drawn to scale) Y = 3x5 - 5x3 + 4 Y = (2x –…

A: As per authoring guidelines, if the question number is not specified, the first question is…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: I need help finding the equation of the parabola with directrix: x = 5 and vertex: (0, 0) and then…

A: Given, The directrix of the parabola x = 5  Vertex of the parabola = 0, 0 We have to find the…

Q: Look up the curves called hypocycloid and epicycloid. Writea report on what you find. Be sure to…

A: An epicycloid is a plane curve created by tracing a chosen point on the edge of a circle of radius r…

Q: Find an equation of the circle that satisfies the given conditions. Circle lies in the first…

A: Solving the equation, we start by determining the center of the circle. Since the circle is a…

Q: Find a path that traces the circle in the plane y = 3 with radiusr = 5 and center (0, –3, 2) with…

A: the plane y = -3 with radius r = 5 and center (0, -3,2) with constant speed 20 To determine a path…

Q: Draw a diagram to show that there are two tangent lines to the parabola y = x² that pass through the…

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Q: Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

A: A tangent to a circle is perpendicular to the radius vector on the point of contact. To find the…

Q: 0. Point P(6, 7) lies on the circle (x + 2)² + (y – 1)² = 100. What is the slope of the line that is…

A: Equation of circle =(x+2)2+(y-1)2=100 Here (-2,1) is the center of circle and 10 is radius

Q: Find the equivalent DE for the given family of curves 1. All circle center at the origin. 2. all…

A: Let's find.

Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

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Q: etermine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y Ans:…

A: Given: Point 8,10 The equation of the circle is x2+y2=16y. Aim: To find the distance of the given…

Q: Determine the DE of the family of curves. Sketch its representative members Parabolas with vertex…

A: The Differential Equation of Family is Parabala with vertex and focus on the line y=3

Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

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Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: Circles with fixed radius r and tangent to the x-axis.

A: The general equation of the circle with center (h, k) and radius r is given by  (x-h)2+(y-k)2=r2

Q: 1) What is the equation of 5 center the circle whose center is (4, 2) (4, 2) and is tangent to line…

A: Given the center of the circle is (4,2) and is tangent to line y=-5. Since, the tangent is a line…

Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Find an equation of the tangent plane to the surface at the given point. 5x2 + 2y2 + 5z2 = 73,    P…

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius?

A: Given : Center of Circle is (9 , 15) has only 1 y-intersept. To find : Radius of circle  Solution :…

Q: Find the equation of line tangent the circle x ^ 2 + y ^ 2 = 25 at point at (3, - 4)

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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Q: 5. How many lines are tangent to both of the parabolas y = -1-x² and y = 1+ x?? Find the exact…

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Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

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Q: Consider a circle with center at the origin and with radius 3. a What is the equation of the circle…

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Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?

A: we have to find the radius of the circle

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x? that pass through…

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the tangent line,…

Q: 9. Find the width of the shape, surrounded by two curves y = e*, y = e¯ * and %3D two straight lines…

A: Consider the given curves y=ex and y=e-x and two straight linesx=ln2 and x=ln5.

Q: The area of the surface obtained by rotating the curve y = 36-x2, -6<xS6 about the x-axis is

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A: Solution of the problem as follows

Q: 2. Circles with fixed radius r and tangent to the y-axis.

A: Solution is given below:

Q: A circle with radius 1 centered at (0,) is tangent to two points of the parabola y = ². What is the…

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Q: The maximum vertical distance between the parabola y = 3-z and the line y = 3x+2 on the interval…

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Q: The curve y = V4-x², -1<x<1, is an arc of the circle x2 + y² = 4. Find the area of the surface…

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Q: A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it will…

A: We will find the area and cost.

Q: 4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using a scale of…

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