The orthogonal trajectories of the families of curve 3x? + y? = a? is

Q: Find the orthogonal trajectories of the family of curves y^3 = 3(? − ?). Draw a few representative…

A: We will find out the required solution.

Q: Find the points where the tangent line to y =2+4 is horizontal (Critical points)

A: We need to find points where the tangent line to y=xx2+4 is horizontal. In other words, we need to…

Q: Find the orthogonal trajectories of the curve family ?

A: Given equation: y=x-2+Ce-x

Q: Find the orthogonal trajectories for the family of curves 6x² + y² -9ax=0.

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Q: 4. x( 4x + 3y) = a

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Q: 2. y2-xev-1+ x = 7 at (2,1)

A: Solution:Giveny2-xey-1+x3=7   at (2,1)To find the equation of normalFormula:Equation of…

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: he tangent line to y = f(1) at (-3,9) passes through the point (9,-3). Compute the following.

A: The slope of the line passing through the points, (x1,y1) and (x2,y2) is given by .

Q: Find the orthogonal trajectories of the family of curves y = ax² + 4ax + 4a, where a being…

A: Orthogonal trajectory: If a curve cuts every member of a given family of curves at right angle, then…

Q: Find the orthogonal trajectories of the family of curves. Sketch several members of each family y =…

A: We have given the curve; y = mx

Q: Find an equation of the normal line to the curve y = vx-3 which is parallel to the line 6x + 3y-4 0.

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Q: Use a linear approximation to estimate V65.

A: 653

Q: Find the orthogonal trajectories of the family of curves.

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Q: Find the equation for the perpendicular trajectories of the curve family. 1. x -

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Q: At what point on the curve y =[In (x +4)]2 is the tangenthorizontal?

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Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

Q: y = 3x – 1 + Ce-3x | x = Cey?

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Q: Find the orthogonal trajectories for the family of curves y=c1x4

A: First of all rearrange the given equation in such a way that both the variables be on one side of…

Q: Make the curve y= ax2+bx+c pass through (2,1) and be tangent to the lane y= 2x +4 at (1,6)

A: The given curve passes through (2,1) ⇒1=4a+2b+c                                    (1) And the curve…

Q: Find the orthogonal trajectories for the family of curves 3x2 − y2 = C. Use a graphing utility to…

A: Given:  The family of curves: 3x2 − y2 = C

Q: Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

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Q: What point on the curve y = Vx is closest to the point (5, 0)?

A: Use distance formula between two point and then differentiate

Q: Find the equation of the normal line to the curve y=arccot1x at x=1.

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Q: 10. y = Ce 2x

A: We have to find  orthogonal trajectory

Q: Find the average velocity of the function over the given interval. y= - 3x? - x, [5,6] – X,

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Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A: Solution:Given     x2-2y2=CFormula:d(xn)=nxn-1∫xn dx=xn+1n+1+C

Q: Find the equation for the perpendicular trajectories of the family. 1. x - curve

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: ; Find the equation of the tangent and normal line of the function f(x): V2x – 1 at the point (5,…

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Q: Find the orthogonal trajectories ofthe family of curves: y = ke*

A: As per our company guidelines we are supposed to answer only first question. Kindly repost rest of…

Q: Find the orthogonal trajectories of

A: Given,          y=ax2+4ax+4a, where a being paarameter.

Q: 4. x*( 4x + 3y' ) = a

A:

Q: Find the orthogonal trajectories to the family of curves:

A: Consider the given equation. x2=C-12y2lny2-1 Find the derivative of the function with respect to x.…

Q: determine the equation of the orthogonal trajectories of the following families curves: Straight…

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Q: Make the curve y=ax²+bx+ c pass through (2,1) and be tangent to the line y=2x+4 at (1,6)

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Q: 4. x(4x? + 3у?) -а = a

A: Solution is given as below:

Q: What is the equation of the normal line to the curve 2x3 +2y³ – 9xy = 2 at the point (0,1)?

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Q: 9. y = x'(1- cx ) %3D

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Q: Find the orthogonal trajectories of the family of circles through the origin with centers on x axis.

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Q: .2 7. y= cx

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Q: Determine the equation of the orthogonal trajectories of the following families curves: circles…

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Q: What is the slope of the segment in the slope field for dy/dt= ty + 1 at the point (2, 3)?

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Q: Find the equation of the tangent plane to z=6x2+2y2  at the point (1,5)

A: Given  z = 6x2+2y2  at the point (1,5)

Q: Please answer number 9 .determine the equation of the orthogonal trajectories of the following…

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Q: Please answer number 5 determine the equation of the orthogonal trajectories of the following…

A: Given that        ex + e-y = C1 Here we have to find the equation of the orthogonal trajectories.

Q: Find the equation s for the perpendicular trajectories of the curve family. 1. x -

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Q: Find the slope of the tangent line to V3x+ 4y= 5 at point (3, 2) %3D Onone of the above O-1 03 O-2…

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Q: Find the orthogonal trajectories to the family of curves: -1).

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Q: Find the equation of the normal line to the curve 2x/y - 3yvx + 5xy = 22 in the point (4, 1).

A: Given,         The curve is 2xy-3yx+5xy=22 in the point 4,1.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.