Find the asymptodes of Hx)= x²- 5x+6 the funchion given below X-2

Q: Refer to Figure 25 in Section 11.5. Prove that the product of theperpendicular distances F1R1 and…

A: Prove that the product of theperpendicular distances F1R1 and F2R2 from the foci to a tangent…

Q: 1 The domain of the function f(x,y)= + In(4- 4x2 - y?) is the region inside the x²+4y² – 4 ellipse…

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Q: Find the arclength of y = 4x³/2 on 1 < x < 3

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Q: has its vertex at the origin and has directrix at z = 38

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Q: 7. Derive the orthogonal trajectories of the family of hyperbolas xy = c. %3D

A: The solution are next step

Q: 21 コミメ-2 of the with the Parabola y=z Find the hく line area region bet ween the

A: Let us consider the double integration I=∫D∫f(x,y) dxdy where  D=(x,y)|a&lt;x&lt;b,…

Q: Find the points on the ellipse 2x + 4y = 1 where f(x.y) = xy has its extreme values.

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Q: Find the asymptoles of the funchon given Hx)= x²- 5x+6 below X-2

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Q: What is the classification of the PDE 2 ay= = 0? a. Hyperbolic p. Parabolic = Elliptic 1 Conic QNone…

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Q: B) Use Lagrange multipliers to find the points on the ellipse 2x2+y? = 1, where f (r, y) = ry has…

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Q: A funchion is defined by +the formua a f(x)=Ź ) which of the follauing is the %3D value of

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Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid z = x²…

A: (3)Let (x,y,z) lies on parabolaThe distance d=x-32+y2+z2such that z=x2+4y2Lagrabge multiplier…

Q: Find the area of the inner loop of the curve r= 1-2cos θ

A: For the inner loop of the curve 1-2cos θ=0⇒2cos θ=1⇒cos θ=12⇒θ=cos-112⇒θ=π3,5π3

Q: Find the asymptotes of the cissoid of Diocles defined by the equationy2(2a−x)=x3,a&gt;0.

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Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: The orthogonal trajectories to the family of hyperbolas xy= C is given by the family 1)y=cx 2)y2 -x2…

A: We need to find the orthogonal trajectory to the family of hyperbola xy=c

Q: Find the point thot maximites the f (xxy)= x*+ y 2. -6x+ 9 funcfion depending on the gCxy) zy -x²…

A: Consider the provided question,

Q: Find the orthogonal trajectories of the family of hyperbolas xy = c

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Q: Find the minimum of f(x,y) = 3x + 4y on the ellipsoid 6x2 + 2y² = 3. Leave your answer correct to…

A: Solution of the problem as follows

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. y =…

A: Consider the provided curve, y=cx2 Find the orthogonal trajectories of the family ofcurves. First…

Q: If PP' is a diameter of the rectangular hyperbola xy = c' show that the locus of the intersection of…

A: given , if PP' IS a diameter of the rectangle hyperbola xy = c^2  show that the locus of the…

Q: 3. Find an equation of the tangent plane to the paraboloid defined by z= 5x +4y? at the point…

A: The given equation is; z=5x2+4y2 at the point (-1,1,9).

Q: 1. Compute SF · dr where F(x, y) = (y²,–x²) and C is the part of th parabola u = 12 from (-1 1) to…

A: First take dot product of f and dr Then put value of y in terms of x Integrate and raise limit of…

Q: a. Find the length of the arc of the semicubical parabola ay=x' , from x= to x= 5a.

A: Arc length of the curve

Q: (2) Find the Ualue of the constant m while the Curl of Foaoy,z) = (mxy- 2) Ĉ +cm-2)x)+(1-m)x2° Â is…

A: Please see the answer in step 2

Q: Find the arclength of y = 2x /2 on 1 < ¤ < 3 2x3/2 uostion

A: given that y=2x3/2. we need to find the arc length in the interval [1,3] the arc length formulae is…

Q: Find the arclength of y = 3x3/2 on 2 < x < 4

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Q: Draw a sketch of the cylinder z = -4 - y2.

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

Q: Find the points on the cone z 22 x2 + y? that are closest to the point (-5,2,0)

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Q: Compute ,f for f(2) +6 + 6i, positively oriented. sin(32) and path 2 that is the boundary of the…

A: Let's see the method of integration. We use residue method to solve this integral.

Q: of the b) nd y- Fons c) with point.

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Q: . (a) Show that as (x, y)→ (0, 0) along any straight line y = mx, or along any parabola y = kx², the…

A: Given : f(x) = x³y/(2x^6+y²)  To find : To prove that limit exist along parabola

Q: Find the arclength of y 4x3/2 on 1 < x < 2

A: Here in this question given that y=4x3/2 and find the arc length. Between x=1 to x=2.

Q: The semi-hyperbola H(X)=(sqrt(x^2-1)) is continous at which x interval?

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Q: Find the arclength of y 3x3/2 on 1 < x < 3

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Q: dx Calculate for n = 6, using trapezoidal rule. %3D -11+ x²

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Q: Find the family of orthogonal trajectories of the family of hyperbolas x²-4y² =k

A: We need to find the family of orthogonal trajectories of the family of hyperbolas x²-4y² =k

Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

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Q: below Find the asymptoles of the funchion given Hx)= x²- 5x+6 (x-2) Cx+3)

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Q: Find the asymptoles of the funchon given below Hx)= x²- 5x+6 (x-2) Cx+3)

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Q: Consider the 2nd order PDE -3u +6xu-3u w=cos(x). XX ху yy (a Determine the regions in the xy-plane…

A: Consider the PDE: -3uxx+6xuxy-3uyy=cosx. A second order PDE of the form…

Q: - Show that the distance r from the origin O to the point P(Coshu,Sinhu) - on the hyperbola x-y 1 is…

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Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid 2= z +…

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Q: Find the points on the cone z2 = x² + y2 that are closest to the point (8, 2, 0).

A: we have given the equation of cone z2=x2+y2 and the point (8,2,0)to…

Q: Iet pla) be the Lagrange inteyraRng polynemicl of 2x° + 3 at the points Xo-0, Ps used pla)…

A: The given question is solved below.

Q: -8x If the infinite curve y = e8x, x 2 0, is rotated about the x-axis, find the area of the…

A: Given curve is y=e-8x, x≥0 is rotated about x axis.

Q: Compute y ds over the part of the parabola y =2Px, for P > 0 starting at (0,0) at (2P,2P).

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Q: Find the orthogonal trajectories of the families of Parabolas y a + 8az + 16a, which passes through…

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