Parameterize the given curve. (x + 9)2 + (y – 4)2 = 4 %3D c(t) = %3D

Q: x Find the length of the curve Y= 6 10x', 1<X<2

A: Given curveY=X56+110X3

Q: 2 3/2 between x = 0 and x = 1 is 3 %3D The length of the curve y =

A: We will find out the length of curve.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = (1/3)x - (1/2)x² -…

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Q: Example Suppose we wish to find points on the curve y(z) given by y = z-6z² + r+3

A: The given curve is,y(x)=x3-6x2+x+3

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: (a) (a) Find the points of inflexion of the curve .3 y =- a +x2

A: x3a2 + x2 To Find: Points of inflexion on the curve  Proof: We will find the double derivative of…

Q: Find the length of the curve The spiral r= 3e 2, 0 s es 2 v3

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = - 1 and x = 8 is…

A: Solution..

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x - (1/2)x² -…

A: As per bartleby guidelines we only give first question answers.

Q: Q3) Determine slope of a curve y = x + 2 at p(1,3) and q(3,11)

A: Slope of a curve : The slope of a curve y=f(x) at a point P is the slope of the tangent at that…

Q: Q3.16 the emetric. curve pour you are given. cartesian form y = f(x). Dont have decimals in your…

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Q: Determine the coefficients a, b, c, dso that the curve will satisfy the condition. Make the curve y…

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Q: h of the curve. spiral r = 502, 0s 0 < 2/3 720 3 3)(72+1)3/2-1) 40 280 D) 3. 8075

A: Given curve is Now, length of given curve is

Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: aph ea between the curve by y = x³ - 10x² + 16x and y = -x³ + 10x² - A B

A: using the graphing software plot the graph of the first equation y=-x3-10x2+16x

Q: y Find the length of the curve x = on 3<y<5. + 18 2y 3.

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Q: All solutions approach the curve y = 2-t² ast → ∞.

A: This is the question of the differential equation.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x² + 4x – 12…

A: Given: (1)  y=x3-3x2+4x-12 (2)  y=x2-52

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

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Q: Parameterize the given curve. (x + 9)2 + (y – 4)² = 4 %3D c(t) =

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Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

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Q: For what values of c does the curve have maximum and minimum points? F(x) = 2x + cx +10x Select the…

A: For curve has both maximum and minimum  f'(x) = 0 has both real zeros/roots.

Q: Find the length of the curve  x=y4/8+ 1/4y2 , 1≤Y<B

A: Consider the curves, x=y48+14y2,   1≤y≤2 Differentiating with respect to ‘y” then,…

Q: Trace the curve r2 = 4cos etan2e. %3D

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows:…

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: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: Solve The family of curves is given by the equation y = Inx". The orthogonal trajectories for these…

A: Steps to find the orthogonal trajectories of the  given family of curves : Find the differential…

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x – (1/2)x² -…

A: A real-valued function shows various properties such as symmetricity, passing through the origin,…

Q: 3 y + 3 1 Find the length of the curve x = from y = 1 to y= 2. 4y

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Q: Find the equation of the curve at any point  P(x,y) of a curve the subtangent equals -1/x

A: Given that the subtangent equals -1x. Then we get, tan θ2=-1x⇒tan θ=2 tan θ21-tan2 θ2⇒tan…

Q: (a) Find the orthogonal trajectories of the family of curves x* + y - 6x y = constant. (6) Show that…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O…

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Q: 3 y Vsec4t – 1 dt, 0, 4 4 Find the length of the defined curve. (write your solutions in detail and…

A: To find the length of the defined curve: y=∫0xsec4t−1dt,  −π4≤x≤π4

Q: Find the exact length of the curve. 1 1 s x s 3 y 4x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y = ) «² A (x² + 2)= Q4/ Find the length of the curve y = from x= 0 to x= 3.

A: Given,y=13x2+232differentiating both the sides w.r.t. xdydx=1332x2+2122xdydx=xx2+212

Q: Discuss the properties of the curve (w/ solution) and sketch fully: y = x?e-*

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Q: Find the point on the curve y= v2a +5 which is closest to the point (6, 0). > Next Question.

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Q: J1 (x²+8)3/20 Find the length of the curve x = y²-n, 1≤ y ≤e². The given curve is rotated 8

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Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81. Find the…

A: Given,           The line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81.We know that,y = mx + c…

Q: Find the orthogonal trajectories of curves represented by x = Cev Select the correct response: y =…

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Q: Eliminate the parameter to find a cartesian equation of the curve  x=e^6t-5, y=e^12t

A: It is given that,

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: Sletch the curve r=2-2cos(0) on the axes below. /2 3/4 /4

A: Given r=2-2cosθ

Q: 30 a) Find the curve fit y =: 1+ Dx using the data linearization for the given points. Yk 1 2 4 PMC…

A: (a) Given, the curve fit                  y=301+DxA                           (1)      and…

Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem