Q#01: Graph the vertical parabola for y= 2(x – 4)² – 3.

Q: 14. Find the maximum and minimum values of the function f(x,y) y? = xy on the ellipse given by the…

A: Given f(x,y)=xy subject to    g(x,y)=x2+y24-1=0 We have to find the maximum and minimum values of…

Q: 3. f(x) = -0.25x+ 8x - 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

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Q: Find the largest and smallest values that the function ƒ(x, y) = xy takes on the ellipse x2/8 + y2/2…

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Q: Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1. f(x) 4 O (x) =…

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Q: у-V25- х2 у%30, х%3D2, х%3D4: abour the х-аxis. *3у-у, х-0 : about the y-axis.

A: In this we use integration and simple mathematics . and , a graph which shows the above equation as…

Q: Find the maximum and minimum values of the function f(x, y) = xy on the ellipse given y? by the…

A: According to the given information, it is required to find the maximum and minimum value of the…

Q: Derive the equation of the parabola with a focus at (-7, 5) and a directrix of y = -11. O (x)= (X +…

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Q: Find the asymptotes of the hyperbola below. (y – 1)° _ (z+3)² 16 4 Use y = +; (x – h) + k or y =±¿(æ…

A: Given:- y-1216-x+324=1 here, center C=(-3,1)=(h,k) a2=16⇒a=4 b2=4⇒b=2 The Hyperbola is Horizontal…

Q: (b) Sketch the graph of the function y = 1+ /16 – x²2 for -4 < x < 4. Hint: x2 + y? = 16 is the…

A: Consider the equation of the circle The graph can be plotted for the circle as

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: Where does the line x = 1 + 3t, y = 2−t intersect (a) the x-axis (b) the y-axis (c) the parabola y =…

A: Parametric equations are a set of equations where 2 or more variables are dependent on one single…

Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: Find the maximum and minimum values of the function f(x, y) = xy on the ellipse given. y? by the…

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Q: Q3) For what values of n the line y = -x + n intersects the ellipse +=1 at two poin 20

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Q: Consider the graph of  y = ax2 + bx + c, where a = -3, b = 2 and c = 1.  Is the parabola concave up…

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Q: Find an equation for the parabola with vertex V(0, 0) and Focus F(0, 2), and sketch its graph.

A: We have given vertex V0,0 and focus F0,2. Given the vertex of the parabola is V0,0 and focus is at…

Q: Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1. 1 O f(x) = -- 2…

A: We can derive the equation of parabola as below.

Q: 3. Find the equation of the parabola with focus at F(3,2) and with the line x = -4 as directrix.

A: Topic- equation of parabola from focus ans directrix.

Q: dy Given that y = ³ – 3a? +3x, find dy Hence show that da > 0 for all æ, and interpret this in terms…

A: Solve by differentiation

Q: Find a parabola with equation y= ax2 + bx +c that hasslope 4 at x=1  , slope -8 at x= -1 , and…

A: The parabola is y=ax2+bx+c. It has a slope of 4 at x=1 and slope of -8 at x=-1 and passes through…

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: c. Choose the correct description of the level curves of f(x,y) = In (3x? + 3y?). O A. Circles B.…

A: To find the level curves of the function fx,y=ln3x2+3y2.

Q: Is the graph of r(z) = 47 - 212 + 9z – 2 concave up or down at the point with z-coordinate -1? %3D…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given thatthe vertex of the parabola at the origin and focus is(0, -1/2)

Q: x2 + y2 -12x + 6y + 20 = 0 Classify Standard Form Graph

A: Given:

Q: b) y = 2 – 5sin (3x) Q3) Use shifting graph to sketch a) y = |Vx – 4|– 2 b) y = 2+ 3cos (2x)

A: 3)Given isa) y=x-4-2fx=xfx-4=x-4fx-4=x-4y=fx-4-2y=x-4-2b)let fx=cos xf2x=cos 2x3f2x=3 cos2x2+3…

Q: 5y=4 How would I make this into y=mx+b and graph this?

A: Consider the given equation,5y = 4Convert the above equation in form of  y = mx + b,

Q: Find the equation of the line tangent to the hyperbola x2 −y2 =16 at (5,3).   Give your answer in…

A: The line is tangent to the given hyperbola at (5,3).Tangent line is a straight line.Therefore, the…

Q: Graph g(t) = 3(t – 1)? – 1. %3D 10

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Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given- The parabola that has its vertex at the origin and satisfies the given condition(s).…

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

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Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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Q: Find an +y² equation for the tangent to the ellipse 4 = 2 at the point (2,0).

A: Consider the ellipse, x24+y2=2

Q: Find the equations of asymptote lines of the hyperbola y-x2+ 14 x-8y 37 Select one: O None Oy =…

A: Given, y2-x2+14x-8y=37

Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

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Q: Find the smallest outputs of the function x^2+2y^2 on the slanted ellipse x^2+y^2+xy=3

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Q: The graph of y^2 = x^3 is called a semicubical parabola. Determine the constant b so that the line y…

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Q: Q11 Write the general solution of the fourth-order DE y(4) – 2y" + y = 0 entirely in terms of…

A: Given y4-2y''+y=0 To do Write the general solution in terms of hyperbolic functions.

Q: Jim is running along a parabolic track where his position can be described as y = He knows that his…

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

Q: 48. The equation of the asymptote of the curve 2° + y – 6z° = 0 is A. y = I B. y = -I C. y = -1 + 2…

A: We need to find asymptotes for the given curve  x3 + y3 - 6x2 = 0.

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 curve x = t - 3t, y = Vt intersects the y-axis when x = 0, which occurs when t = 0 and t = y 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: The curve y = -x² + x + 1 opens: A. Upward %3D B. To the left C. To the right D. Downward

A: Given that the curve is         y = -x2 +x +1 Here we have to show that the curve opens in which…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: c. Choose the correct description of the level curves of f(x,y) = In (6x? + 5y?). O A. Ellipses O B.…

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