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Q: 3 2 4. Consider the curve with equation y = -x³-½ x² + 2x Circle all the points on the curve where a…

A: The equation of the curve is given byTo determine: The points where the tangent line is…

Q: elength of the curve is

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Q: 3Keth curve ,Orienlation, regtangular equation. X = t-1 1-7

A: The given parametric equation is as follows. x=t-1 y=tt-1 For the value of y to be defined, its…

Q: Family of circles through the origin with center on the x-axis. 2xyy' + x2 – y2 = 0 ans. %3D

A: Differential equation of all circles passing through the origin and having their centres on the…

Q: Question # Compeute the centre Froup for of genepallized linead n=4.

A: 1. Let F be a field. Then the general linear group GLnF is the group of invertible n×n matrices with…

Q: find a parametrization for the curve. the upper half of the parabola  x-9=y^2

A: The given curve is x-9 = y2  ...(a) Putting y = t in (a) then x = 9+ y2…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: Find the curve length +3 + 6. 1 y = 1< x< 2 2x

A: Using formula of length of arc we can calculate.

Q: Find the family of curves orthoganal to

A: Please see the explanation below

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

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Q: b. The y' of the curve y 4 Vx

A: The given function is y=4x. Obtain the first derivative as follows. y'=ddx4x=ddx4 x-12=4…

Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

A:

Q: -4x Find all the values of x at which the curve y = xe has stationary points. %3D Give your answer…

A: The stationary point for a function y=f(x) is the value of the independent variable that is x,…

Q: point on a curve at which the concavity changes sign from plus to minus or from minus to plus.

A: Topic:- calculus

Q: Determine the differential eq characterizing the family of curve of the family. Circles passing…

A: Let the equation of circle be x-h2+y-k2=r2 Its passes through origin, i.e. 0-h2+0-k2=r2⇒h2+k2=r2…

Q: Use the method of Characteristic to solve ut + 4tux = xu, u(x, 0) = ex. Also draw a few…

A:

Q: d?y - =6-9x dx 2 Find the equation of the curve for which and which passes through the points (0,…

A: To find the curve satisfying the conditions

Q: A sinusoidal curve has a maximum value of (0,2) and a minimum value of (4,-4). Write an equation for…

A: a sinusoidal function is given as  y= A sin b(x - h) +k or  y= A cos b(x - h) +k where  A =…