Find the points that touch the x axis of curvev=u^2+pu+(n+1) Where n is your arid number for example if your arid number is 19-arid-1147 then n=1147. Also find the equation of lines at that points give geometrical representation

Q: An unsymmetrical parabolic curve has a forward tangent of 5% and a backward tangent of -3%.The…

A: Given G1=−3%, G2=5% And l1=120 m, l2=90 m PVI station=5+040 And PVI elevation=101 m PVC station=PVI…

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

A: Given: y=x2

Q: 66) The curve y = ax2. point (2, 28) and is tangent to the line y 2x at the origin. Find a, b, and…

A: We know that,The slope of a curve y = f(x) is given by m, where m is

Q: Define tangency for general curves?

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Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: Find the slope of the tangent line to the ellipse = 1 at the point (x, y). 16 slope = Are there any…

A: consider the equation of the ellipse, x24+y216=1 differentiate the equation using implicit…

Q: Find the distance of a point (1, 2, 3) to the line L: x = 3 + 9t, y = -2 + It , z = 7t. Give your…

A: Find the distance of point to the line L.

Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: To use the partial derivatives to obtain the equation of the tangent plance

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use…

A: Topic:- application of derivatives

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

A:

Q: Let us consider the level curve f(x, y) = 2. Does the point %3D (1, 2) belong to this curve.

A: Given function is, fx,y=y2x2+1....(1) Since, the level of the curve is, fx,y=2

Q: Tangent drawn from the point (4, –3,10) to the intersection curve of z = x² and z = 25 – y² surfaces…

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Q: Find all points of horizontal and vertical tangency to the curve: x = 3cos 0 y = 3sine

A: for Horizontal tangent put dydθ=0 for the vertical tangent put dxdθ=0

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P=…

A: NOTE: Refresh your page if you can't see any equations. . the function f is

Q: Jategrate h (x.y) = (x+y)i+(-x)j over the closed curve that begins at (-1, 0), goes along the x-axis…

A: we will use green theorem here to solve this question

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21,    (−3,…

A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: Find the slope of the tangent line to the ellipse = 1 at the point (z, y). 36 slope = Are there any…

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Q: Find the slope of the tangent line to the ellipse 1 at the point (x, y). 9. slope = Are there any…

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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: The number of bacteria, per unit of volume, existing in a culture after x hours [0, 1, 2, 3, 4,...]…

A: Given 2 mathematical models. We need to compare the given data of values and find which of them is…

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: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

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Q: Suppose that we start at the origin in the xy-plane and take n unit steps (i.e., each step is of…

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Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use…

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Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: Find the tangent plane to the surface 8x2+y2+4z2 = 25 at the point ( 1, -1, 2 )

A: To find: The equation of the tangent plane at the point  1,-1,2. The given function for the surface…

Q: Find the intersection point approximately of the line y = 4x and the curve y = tan(z) in the…

A: The intermediate value theorem states that the function has opposite signs on the ends of the…

Q: The line through the origin whose projection on the xy-plane is a line of slope 3 and whose…

A: In this type of questions we assume a line an points on that line. Suppose we have a line and points…

Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)

Q: Find equations of the lines passing through the origin that are tangent to a circle with radius 2…

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

A:

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh (x/20)…

A: Given: A telephone line hangs between two poles 14 m apart in the shape of the catenary…

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

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Q: Find the lines that are tangent and normal to the curve at the given point.   y=4sin(πx+​y),…

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Q: by fev ving the curve in the indicated Coordinate plane about the given axis. Equation of Curve 22 -…

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Q: An offshore oil well is located in the ocean at a point W, which is 5km from the elosest shore-point…

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Q: ve y = ax 2 + bx + c passes through the point (2, 4) and is tangent to the line y = x + 1 at (0, 1).…

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Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

A: In this question we have to find the equation of the circle tangent to the x-axis and y-axis.

Q: The 50 g bullet travelling at 100 ms-1 strikes the 2 kg block centrally and is embedded within it.…

A: Please check step 2 for the solution.

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

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Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,…

A: Solution is written in below steps.

Q: A cable hangs between two equal poles 10m apart in the shape of the catenary y = 10 cosh(x/10) – 15,…

A: The given data is: y=10coshx10-15 To find the slope of the cable where it meets the left pole at…

Q: Find distance between point A(1,3) Perpenclicular the line L: 2y =2+X on

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Q: A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are…

A: Given : from the data given above  the graph of the parabola is:

Q: Find the orthogonal trajectories of the family of parabola described by the equation (x+2} = cy.…

A: Explanation of the answer is as follows

Q: .3 The curve y3Dx+ x*-x has two horizontal tangents. Find the distance between these two horizontal…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.