Find all zeros of f(x) = a° – 2a2 – 18z + 24. Enter the zeros separated by commas. Ente %3D values, using radicals and/or fractions if necessary, not decimal approximations.

Q: For the hyperbolic PDE u, +bu, =0 a) Find the finite difference equation, using forward for u, and…

A: Given: The given hyperbolic PDE  ux + buy = 0 a) To find the finite difference equation, by using…

Q: Find the equation in the xy-plane whose graph includes x In(6t) and y = t².

A: Given  x= ln(6t) y=t2

Q: C) lie in the parabola 16y = 160 – x². Find the maximum area of the triangle if side rtices B and C…

A: Sol

Q: Find the angle at which the parabola y=x2−14 intersects the positive x−axis.

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Q: ) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a…

A: Write L1 in Cartesian form. Then find its slope or gradient then use it to find the slope of the…

Q: O Use the bisection method to numerically solve the nonlinear equation 1.5 f(x) = 40x3 – 875x+35000…

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Q: Find the points on the surface x² + y² + z² = 4 farthest from the point (1,–1,1), 2 %D

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

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Q: Cоmрute (x + y) dz, where is the portion of the parabola C y = 4 – x2 from -2 to 1+3i.

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Q: Given the equation x² + y² – 8x + 4y + 11, = 0 find the standard form equation in the form (x – h)²…

A: The solution is given below.

Q: Find the extremum of f(x,y) = 9x2y² +4y² + 4x². %3D Answer:

A: Topic= Derivative the extremum is 0.

Q: O Use the bisection method to numerically solve the nonlinear equation .1.5 f (x) = 40x3 –875x+35000…

A: Rffthh

Q: f(x.y) = x²y - 2Xy? + 3Xy +4 %3D A Find the alobal maximum and minimum.

A: The given equation of the function f(x, y) = x2y - 2xy2 + 3xy + 4. 1. To find the maximum and…

Q: Find b and c, given that the parabola y = x2 + bx + c passes through (0, 5) and (3, 23).

A: (0,5) means when x=0 then y=5. similarly, (3,23) means when x=3 , then y=23.

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: Let F(r, y) = (x + 1)7, and let C be the portion of the parabola y = x² that starts at (0,0) and…

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Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

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

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Q: of f(x) = ax2 + bx +c Determine the equation the parabola in the form

A: Given equation of parabola  fx=ax2+bx+c which passes through (0, -4), (1, 0) and (2, -4).

Q: Find constants a and b so that the minimum for the parabola f(x) = x + ax + boccurs at the point…

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Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Find the points on the cone z^2=x^2+y^2 closest to the point (4, 2, 0).

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Q: Find the two values of c such that the area of the region enclosed by the parabolas y = x² – c² and…

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Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: Find the best quadratic approximation, Q(r, y) of V9 – 6x – 4y for (r, y) (0,0). near

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Q: x² +y-16x+6y+1=0 as the equati on of a circle in standard form. Express Identify the center and…

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Q: Find the point on the parabola x = t, y = t2, -∞ &lt; t &lt; ∞ closest to the point (2, 1/2).

A: Given Data The first equation is x=t. The second equation is y=t². The point is (2,1/2).…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+8x+12. If there is…

A: The required solution is

Q: - z²) – 2x + 30y = 0 da? What is the larger root from the indicial equation

A: Given differential equation, 1-x2d2ydx2-2xdydx+30y=0 Find the largest root from the indicial…

Q: Evaluate x° ds where C is the part of the parabola y = x² from (0,0) to (2, 4).

A: Form the double integral and set the limits than integrate with respect to y and x.

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: E. Express x^2– 12x + 16y – 60 = 0 to standard form and construct the parabola.

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

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Q: Find a parabola with equction Y=ax +bx+c that has a Slope I at x -1, slope 9 at x=-1, and passes…

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Q: Find the extremum of f(x,y) = 5x²y² +4y² + 6x². %3D Answer:

A: The given function is f(x,y)=5x2y2+4y2+6x2 .......................... (1)

Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

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Q: The tangent and the normal to the parabola y²=20x at the point T(5,10) meet the x-axis at the points…

A: Details solution is given below:

Q: 1s 中 xyザー りそ and A=ī- (x29)5 -2K, | %3D find grad (0), div cQA) and curl c QA) at the point Cl,I,1).

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Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

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Q: 1. Find the point on the parabola y = 3 – x² that is closest to the point (6, 0).

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Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: The a value in the function f(x) = 2x2 makes the parabola %3D O more wider moves it left

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Q: The line x=C where C70 intersects the cubic y= 2x3 + 3x²-9 a七 the point P and parabola y = 4x+ 4x +5…

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Q: Find the change of variable x = Py that transforms the quadratic form x'Ax into y' Dy as shown…

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Q: draw the slope field for y' = x² – y², then use it to sketch three solution curves. %|

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Q: A parabola has an equation of x² = 6y + 10. Compute the equation of a tangent to the curve which has…

A: Given that a parabola has an equation x2=6y+10. Here we have to compute the equation of a tangent to…

Q: 2. Find the equation of the tangent line to the parabola 2y^2+36x=0 which is parallel to the line…

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Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

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