106. Points of Intersection Find the coordinates of all points of intersection of the graphs of y = x* + x² + 24x and y = 6x' + 20

Q: 1 Find the x-coordinates of all points on the curve y = 12x* – 80x° - 144x + 29x + 26 where the…

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Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: The tangent line to the graph of y = g(x) at the point (2, 8) passes through the point (1, 4). Find…

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Q: 4. y- /25 – x, y-0, x- 2, x-4: about the x-axis 5. x- 2y. x- 0, y = 9: about the y-axis

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Q: Line tangent to an implicitly defined curve. Find the equation of the line tangent to the graph of…

A: The equation of the tangent line: - At a given point, the tangent line of a curve is a line that…

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (5x² – 2y²) at the point (1, 1).…

A: (4). (a). The given curve is:f(x,y)=ln5x2-2y2

Q: Solve using crossing graphs. (Round your answers to two decimal places.) 4x − 3y  =  8 x + y  =  0…

A: Explanation of the solution is given below...

Q: 12. A curve on the xy-plane passes through the point (0, a) for some number a, and has the property…

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Q: 3 3--x2+3x and the line y=x. 4 Find the area bounded by the curve y=-x³- 16 10 square units 16…

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Q: How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points…

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Q: Find equations of all lines having slope −3 that are tangent to the curve y=12/(x−8).

A: Given: y=12x-8

Q: Find equations of the tangent lines to the curve y = (6 In(x)) at the points (1, 0) and at the point…

A: Solve by using equation of tangent

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y? - 2x3

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Q: 5.) y = x²(x – 5)²

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Q: Use a graphing utility to find the points of intersection of the graphs. Check your results…

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Q: Use a graphing utility to find the polnts of Intersection of the graphs of the equations. Check your…

A: Given query is to find intersection points.

Q: 9. Find the exact distance between the line 6x – y = -3 and the point (6,2). Show your work. Explain…

A: Note: There are many questions in the above picture. So I will answer the first question and please…

Q: Use Newton’s Method to approximate, to three decimal places, the x-coordinate of the point of…

A: y=ln x    →1y=3-x  →2 Using equation (1) and equation (2), We have…

Q: Equation of line pass through the point (1,1,1) and parallel to z- axis is: x=0 ,y=t , z=t+1 O x=1 ,…

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Q: Find equations of the tangent lines to the curve y=(5ln(x)) / x at the points (1,0) and (e, 5/e) at…

A: Given that the equation of the curve is        y = 5ln(x)/x   at the point (1,0) and (e,5/e) .

Q: itial condition that the point (0, √2 + 1) is on the

A: We have to choose the correct option from the given options according to the given information

Q: 10- Find an equation for the line tangent to given curve at the given value of x. y = x2- x at x =…

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Q: Point X is located (2,-6), and point Z is located at (0,5). Find the y value that is located 1/5 the…

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Q: Decide whether the problem can be solved using precalculus or whether calculus is required. If the…

A: Given y = x2 given points (1, 1) and (3, 9)

Q: Minimum distance Find the point P on the line y = 3x that isclosest to the point (50, 0). What is…

A: Given  y = 3x  is the equation of the line and p(x,y) be any point on the line and  Q(50,0) is a…

Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: (a) Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line. (b)…

A: a)  we need to find all the points of the graph that have a horizontal tangent line For that, let…

Q: Two circles of radius 6 are tangent to the graph of y squared =4x at the point (1,2). Find equations…

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

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Q: Solung line ar diffevential equations O-x(x-1)+(2-3)y = 2Y-1 %3D dl X

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Q: Reflection across the line x=-4 024 --

A: We have to find the reflection of the image across the line x = -4.

Q: Two circles of radius 8 are tangent to the graph y^2=4x at the point (1,2) Find equations of these…

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Q: distance between point Al2,4) Perpendicular on the line L:3y=3+X is solution:- 1) 149.3 2) 53,41 3)…

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Q: passes through the points (-2, -9) and (4, -6)

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Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: Please show all work

A: To find the slope of the tangent at (1,0) , we need dy/dx at (1,0)  So we differentiate both sides…

Q: 5. Point F' is the image when point F is reflected over the line x = --2 and then over the line y 3.…

A: Given, F'(3,7) Reflected over the line x=-2, From the diagram we see the given point is (3,4) is…

Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

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Q: ) Find equations of the tangent line and normal line to the given curve at the specified point.  y =…

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Q: Arc length of a parabola Find the length of the curve y = ax2 from x = 0 to x = 10, where a >0 is…

A: Arc length of a curve is defined as the distance between two points along the section of the curve.…

Q: 4)) >〇 impending y= 言 メ= Curve, x=0 and Colculote the orea af the regien between the lines by the…

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Q: 5-x 8. Find the family of the curve whose slope at any point is y-3 passes through the point (2, 1)…

A: Given that slop of curve is (5-x)/(y-3) We know slope is dy/dx . Some formulas  (i). Integration of…

Q: 8) About the y-axis (0, 2) л y = 2sin (x) ;0< x≤ π X X

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Q: y Point Z is located on XY such that the ratio of the length of XZ to the length of ZY is 5:3. Enter…

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Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0,…

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Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Find an equation of the tangent plane at the given point. g(x, y) = ey, (5, 1) (Express numbers in…

A: To find  An equation of the tangent line at the given point.

Q: Find an equation of the tangent line to the curve at the given point. x? (3,9) (Express numbers in…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.