Show DETAILED SOLUTION of the curve and sketch fully. Solve intercepts, asymptotes, critical points and minimum and maximum. (x² – 4)2 y = - х — 4 -

Q: Find the r value of the point on the curve y = 3x + 2 closest to the point (1,0). Evaluate /(-글 +…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the horizontal and vertical asymptotes of the curve. x2 + 1 y = 9x2 - 26x – 3 (smaller x-value)…

A: From the given problem: y=x2+19x2-26x-3 To calculate vertical asymptote, equate denominator to zero…

Q: 5. Given the parabola y = - x? + 10x - 16 and two tangents that pass through (4, 12), find the slope…

A: A general equation is taken and then it is molded as per the conditions.

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

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

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Q: Find the latus rectum of the curve 4x2+9y2+8x -32 = 0 (Graph Solution

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Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 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: If f(x) = 4x- 2x + 2, find f'(- 4). 4x2 – 2x + 2 at the point Use this to find the equation of the…

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Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: 2. Find the slope of parabola y = ²+3 at any point on the curve.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: A parabolic arch has an equation of 7x + y- 260 0. Find the maximum height of the arch. units

A: The equation of parabolic arch is: 7x2+y-260=0

Q: Find a parabola with equation y = ax + bx +c that has slope 7 at x = 1, slope -25 at x = -1, and…

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Q: The straight line EB cuts the parabola y = 2x2 - 3z - 2 at E and B and is parallel to y + r 0 F A 0…

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Q: For the curve y=-r+3x2 -9 , find (a) The intervals of increasing and decreasing of the curve, hence…

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Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

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

A: This is the question of the differential equation.

Q: The line y = 8.5x+5 intersects the parabola (y-4) = (x-6)2 at points A and B. Point C is on the…

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Q: A curve has an equation of y = x3 - 6x2 + 9x + 2. Find the point of inflection of the curve. а. (2,…

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Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

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: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

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Q: x' 1 + 14 10x° Find the length of the curve y= 13x<2. -

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Q: Given the curve y= x^3 - 4x + 1 . At what point on the curve have the smallest slope? * O (0,1) O…

A: The given curve is: y=x3-4x+1

Q: Use a graph to estimate the coordinates of the lowest point on the curve $x=t^{3}-3 t, y=t^{2}+t+1…

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Q: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

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Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15 mi from…

A: Given- A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15…

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

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Q: 2. Find an equation of the form f(x) =b.a +c that has the horizontal asymptotes at y = 350,…

A: y=b is said to be a horizontal asymptote of a curve y=f(x) if as x tends to infinity (or -…

Q: shortest distance from the point (0,6) to the parabola x² – 4y = 0.

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Q: ах-b 15. [T3] Write the equation for a function in the form of f (x) that satisfies the criteria:…

A: The given equation is of the form: f(x)=ax-bcx-d...(1)

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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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: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: 3) What is the horizontal and vertical asymptote line? a) x =y b) x = 0, y = 2 c) x = -1, y = 2 d) x…

A: From the given function, we have to find its vertical and horizontal asymptote

Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x

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Q: Q3// Does the parabola y = 2x2 13x + 5 have a tangent whose slope is (-1)? %3D If so, find tangent…

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Q: For a certain curve, y" = 6x – 8. Find its equation given that it passes through P(1, 0) with slope…

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Q: 2. Find the slope of the curve y = 3x +1 at the point (-0). Draw the graph of the curve.

A: GIVEN y2=3x+1 at(-1/3,0) we need to find the slope of the curve and graph the curve

Q: For the curve y = -(x³ – 54), find the equation of the tangent to the curve, which passes through…

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Q: A curve has an equation of y = x° - 6x + 9x + 2. Find the maximum point of the curve. O (1, 6) O (3,…

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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: Q2)B/ Find the points on the curves y(X) given by y = x - 6x? + x+3 where the tangents are parallel…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.