15. The parabola y =-2r² + &x – c has its vertex at (2, 5). What is the value of c ? Select one: A. 0 В. 3 О С.6 O D. 9

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…

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Q: dr if F= and C is a piece of the parabola y=4-x² from the point (–1,3) to the point (2,0).

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Q: Graph the quadric surfaces given by the equations in Exer- cises 41–48. y2 41. x² = y? x2 42. z2 9.…

A: As per guidelines incase of multiple questions (or) multiple sub-parts asked we are supposed to…

Q: Compute the length of the latus rectum of the parabola y2 + 8x – 6y + 25 = 0.

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Q: Find a parabola with equation  y = ax2 + bx + c  that has slope  13  at x = 1, slope  −19  at x =…

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Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at…

A: in the xy-plane a line that has the equation y=c for some constant c intersects a parabola at…

Q: 19. Find the area of the largest rectangle with lower base on the x- axis and upper vertices on the…

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Q: 3- The parabola y= ax'+bx+e, mean that the equation y ax' is . .........

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Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: Q3) Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2…

A: Given that: Equation of hyperbola is-             x2-y2=1

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

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Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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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: 4) Show that the equation of the sphere circumscribing the tetrahedron whose faces are y+z=0,…

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Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

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: Sketch the graph of the cylinder given by 4x2 + 9y2 = 36. show solution

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Q: Ue langrange multipliars to fined the Shortest distancé fam the to the pGine x+g+Z=1. point (7,0,)

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Q: 2. Consider the equation r = 4 – y². (a) Find a parameterization of the segment of this parabola…

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Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

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Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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Q: x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the line segment from…

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Q: 13. Find the point on the parabola y* = 2x that is nearest the point (1, 4). %3D

A: As per our guidelines we can solve only one question or three sub-parts. To ask more please…

Q: - Find a parabola with equation y = ax? + bx +c that has slope 4 at x = 1, slope –8 at x = -1, and…

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Q: bétween the spheres and 2- + Y 4 if the dênsity at any point is equal to the square of its distance…

A: Given: The solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4  The…

Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O…

A: topic - shortest distance between point and sphere

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

A: first we have to draw the sketch of y = 1-x2 and draw a rectangle beneath it From the graph we can…

Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Evaluate (x - iy) dz along (a) the parabola y = 2r? from (1, 2) to (2, 8),

A: In the given problem we have to evaluate  ∫C(x2-iy2)dz  along the parabola  y=2x2 from (1,2) to (2,…

Q: 3- The parabola y= ax'+bx+c, mean that the cquation y = ax is .........

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: What point on the parabola y = 1-x is closest to the point (1,1)? The point on the parabola y = 1-x2…

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Q: 4x? + у? - 327 25 3z2 = 25

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Q: A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating…

A: Let's find how far from the vertex should the bulb be placed.

Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

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Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a  point on parabola  y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

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: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

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Q: 2. Find the point on the parabola x+y? 0 that is the closest to the point (0, -3).

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Q: I For the parabola -2x = 16y + 4y² + 13, for what value of y does x have a minimum? 3. If the

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Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: 19 Find the minimum value of the parabola y = x – 8x +

A: The minimum value of the parabola or any curve is obtained where y' = 0

Q: If P(a, a²) is any point on the parabola y = x², except for the origin, let Q be the point where the…

A: To Determine: If P(a,a2)is any point on the parabola y=x2,except for the origin,let Q be the point…

Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

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