State the order and determine whether the equation is linear or non-linear. 피(음) + ()' (d²y dy - y = 0 dx? da

Q: Find the equation of the line tangent to 3x?y + 4xy? = 6x² + 5y at the point (1,).

A: Given equation is 3x2y+4xy2=6x2+5y and a point 1,32. we need to find tangent line.

Q: Where is the line y = 10 – 2x closest to the origin? (х, у) %3D

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Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: Find the acute angle between the lines: 9x - y = 3  6x+y = 9

A: the given two lines are  9x - y = 3  .......1 6x+y = 9   .............2

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: Find the equation of the straight line whose distance from the origin is 4,If the normal ray from…

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Q: The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet…

A: Given the relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in…

Q: d is reflected over the line y =

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Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: Find the slope of the tangent line to the curve - 2.x? + 3xy + y – 118 - at the point (3, – 4).

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Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

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Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: What is the relationship between line JL and line KM? Explain.

A: Let J(2,3) , K(3,6) , L(7,7) and M(6,4) be the vertices of  parallelogram The mid point of line JL =…

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find the equation of the line tangent to 3x²y + 4xy2 = 6x² + 5y at the point (1,).

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Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

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Q: Discuss the relationship among the lines with equations y = 2x + b, where b is any real number.

A: Explanation:The equation of line is y=mx+c where m be the slopw of line and c be the…

Q: Write the equation of the line tangent to the graph of y = 5xe*+4 at x = 1. a) y = 5e-1+4 b) y =…

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: Graph the path of the human cannonball if the initial velocityout of the cannon is 50 miles per hour…

A: Given: Initial velocity is V0=50 miles per hour. Angle of projectile θ=60°. The parametric…

Q: Find the coordinates of the point other than the origin where the equation x3 + y3 - 72xy = 0 has a…

A: W we have to solve

Q: e of **y** where the two lines are equal? A y 4 -3 -2 -1 -2

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Q: With center on the line y = 2x – 13 and tangent to the line y = - 3x + 57 at (16, 9)

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Q: Write the particle's velocity at the given time as the product of its speed and unit direction:

A: Velocity is  the rate of change of distance with time. In other words velocity is the speed of a…

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

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Q: Give the slope and y-intercept of the given line whose equation is given. Assume that B ≠ 0 : Ax +…

A: Given equation of line is Ax+By=C. Equation of line in slope-intercept form is y=mx+C, where m is…

Q: x - Find the equation of the line tangent to y = at the point (– 3, – 2). Write your answer in slope…

A: Given curve is y=x2-1x-1 Differentiate y with respect to x using Quotient rule of differentiation.…

Q: Find an equation of the line L.L is perpendicular to y=3x.

A: y=3xWe compare it with y=mx+bSo, m=3

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

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Q: Find an equation of the line L. L is perpendicular to y = 2x.

A: In general, the equation of line is y=mx+c where, m=slope, c=y-intercept Given, y=2x  m=2

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

Q: A horizontal line is given by an equation of the form................... ,where b is…

A: We have to fill in the blanks: A horizontal line is given by an equation of the form --, where b is…

Q: Write the equation of the line tangent to the curve xe = 6y + 7 at (7, 0). %3D

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Q: Find the equation of the tangent to y = 3ex + 3ex that is parallel to y = 6ex + 5.

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Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the point of tangency and write the equation of the tangent line at this point. B

A: The tangent to a circle is defined as a straight line that touches the circle at a single point. The…

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…