State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = (x + 1)²(2r – a²). Enter the exact answers Number of x-intercepts: y-intercept: (0,0) -1,0) (0,0) |(2,0) Number of Number of stationary points: [ 3v inflection points: -/2 (-v2 x (-1,0) 2 2 (1+ v3 6 v3+9 V2 V2 + v2 2 4 (1– v3 -V3 – 9 4

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

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Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (2, 0).

A: Let, (h,k) be the point on the  2x+6y+5=0. That is,

Q: Find the that passes tirovgh fhe posints (-2(01-1) and trrough the line of intersection q 2i43y-2 zo…

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

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: Find a formula for the quadratic function whose graph has y-intercept at y=11 and zeros at x=1 and…

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Q: Find the point on the line – 6x + 2y +1= 0 which is closest to the point (1, – 3).

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Q: Find the local extreme values of ƒ(x, y) = x2y on the line x + y = 3.

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Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: of

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Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

Q: Find all values of x satisfying the given conditions. y1 = 11x- 5, y = 4x +4, and y, exceeds y, by…

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Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

A: We have to draw the graph of px=x4-x3-6x2 Factorizing the curve:…

Q: Find the x and y intercept(s) of y=x2+4x+3

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: Concept: Rxx, Ryy, Rxy, are the double partial derivative of x and y Maximum condition:…

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: Find the y-intercept of the line. y- 0.7x- 6.5 rintercept: 0

A: Line Y on X is  y=mx+c  m=slope and c=intercept

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find the equation of the line perpendicular to 8x + 2y = 1 passing through the point (4, Y = -X

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

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Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the point inflection of the curve 2y=9x²-x³+6

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Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: Find the point on the line 4x+4y+5=0 which is closest to the point (4,3)

A: Given,A line 4x + 4y + 5 = 0 and a point (4,3).The equation of the line can be written as,

Q: Find the image of the point (1,2) in the straight line 3x+4y-1=0

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Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

A:

Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

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Q: 2. Locate the critical points and determine whether maxima, minima or inflection point. 2a?y = 8x²(x…

A: From the given function: 2a2y=8x2x-2a So, we can simply write as: 2a2y=8x2x-2ay=8x2x-2a2a2 We know…

Q: A market analyst working for a small appliance manufacturer finds that if the firm produces and…

A: we are given with profit equation  Lets graph the given equation  the x intercepts are (-45.224,0)…

Q: Find the local extreme values of ƒ(x, y) = x2 + y2 - 4y + 9.

A: Given: fx,y=x2+y2-4y+9

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: Revenue function is given R(x,y) = 19+162x+210y-3x2-5y2-6xy  , it is function of two variable…

Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A:

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: Find the point on the line 6x + 2y – 4 = 0 which is closest to the point (5, 1) |

A: Given line : 6x+2y-4=0 6x+2y=42y=-6x+4y=-3x+2 let P be the point on the line  is (x,-3x+2) Now we…

Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

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Q: b. y = 0.5x + 2 y-Interoept ( X-Intercept (

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A:

Q: Find the equation of the line parallel to the line y= 4x+3 and passes through the point (0,2)

A: This question is based on equation of line.

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: Find the shortest distance from the origin to x2 − y2 = 1.

A: Definition used-         The shortest distance from a point to curve is the perpendicular distance…

Q: Find the slope of x²y=8 at the point (2,2).

A: Given: x2y=8 To find: Slope of x2y=8 at (2,2)