Che curve's equation is given by x* + y* = x² + y? 4

Q: Find the differential equation of the family of curves. 1. all circles with center located on the…

A: 1 st we need to get general equation of all circle whose center lie on the given line. Now use…

Q: Sketch the direction or slope field of the differential equation. Be sure to show any "trends" and…

A: Given,y'=x-2y+1 x y y' 0 0 -2 0 1 -1 2 2 0 2 1 0 3 0 1 4 0 2

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

A: Find the derivative of y for slope of tangent and normal line and then write their equations in…

Q: Find equations of the tangent line and normal line to the curve at the given point. = x* + 9e*, (0,…

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Q: vertical

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Q: Find the equation of the tangent line to the curve y=9√x at the point (4,18). The equation of the…

A: Find y' and the value of y' is the slope for y.Find the slope m at (4,18).

Q: A differential equation, a point, and a slope field are given. (Remember to use absolute values…

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Q: All straight lines tangent to a unit circle with center at (1,1).

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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: Find the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the…

A: Ans (a). Given that, There is a straight lines with slope half the value of the x-intercept. let…

Q: Find the differential equations of the families of curves (Kindly insert the illustration if it can…

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Q: The tangent line to the curve x'+y° -9xy=0 at the point (2,4) intersects the y-axis at y =. Write…

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Q: curves

A: Please refer to the image below

Q: Two circles of radius 4 are tangent to the graph of y2=4x at the point (1,2). Find equations of…

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Q: | 25. a. Find a curve with a positive derivative through the point (1, 1) whose length integral…

A: a) Find the curve-

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 4x)8,  (0, 1)

A: The equation of the tangent at a point (a,b)on the curve y=f(x) is given by, y-b=f'(a) (x-a)

Q: 5. The slope of the tangent line at any point (x, y) on a curve is 10 – 4x, and the point (1, –1) is…

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Q: Obtain the differential equation of the family of curves. 1. Circle with center at the origin.

A: The equation of a circle with center at (a , b) and radius r is given by (x-a)2+(y-b)2=r2 Hence…

Q: Find an equation of the tangent line to the curve y=3 arccos(x/2) at the point (1, pi

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Q: Find an equation of the tangent line to the curve y = 9" at the point (2, 81) . Tangent line: y =

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Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: 26. a. Find a curve with a positive derivative through the point (0, 1) whose length integral…

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Q: An equation of the tangent and normal line to the curve Y-xesinx at (0, 0) is . www

A: Differentiate wrt x and us equation of tangent line

Q: Find an equation of the tangent line to the curve at the point (2, 0). y = ln(x2 − 3)

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(x) + cos(x),      (0,…

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Q: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

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Q: How many tangent lines to the curve y = x+3 pass through the point (1, 2)? At which exact points do…

A: Take the derivative of the given curve and satisfy the equation of tangent then solve for points.

Q: All circles whose centers are at the origin

A: To Determine: The differential equation for the family of all circles whose centers are at the…

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

A: Given the curve y=(x)/(x+2) passing through the point (1,2). We need to find at what point does the…

Q: Find the differential equation of the family of plane curves described. Draw at least three members…

A: We have to find the differential equations of the family of curve that

Q: The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation…

A: topic - equation of tangent line to curve

Q: Sketch the direction or slope field of the differential equation. Be sure to show any “trends" and…

A: Given differential equation is y'=x-2y+1                   (i) Direction field of the given eq. (i)…

Q: uation of the tangent line to the curve at the given point. = (1 + 2x)9, (0, 1)

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Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1  Please show…

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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: Family of parabolas having their vertices on the origin and focus on the y-axis.

A: given: the family of parabolas having their vertices on the origin and the focus on the y-axis.

Q: Find the differential equation of the families of curves 1. Parabolas with vertex on the x-axis and…

A: 1.Equation of the families of curves where parabolas with vertex on the X-axis and axis parallel to…

Q: Find an equation of the tangent line of the curve y= x^3 -3x+1 at the point (2,3

A: We have to find equation of tangent line

Q: Find equations of the tangent line and normal line to the given curve at the specified point. (1. )…

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Q: Obtain the differential equation of the family of curves as described. Draw some representative…

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 2 At which points do…

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Q: uestion 8 8. Estimate the slope of the tangent line to the curve y = -2x at x = -4, and then use it…

A: Equation of tangent line:  (y-y1)=m(x-x1) Slope of the tangent line on the curve at (x1,y1)=> m =…

Q: Find the differential equation of the Family of plane curves described. Draw at least three members…

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Q: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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Q: separate sheet. 1. Find the equations of the tangent and normal lines to the curve y= x² + 2x +3 at…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…