Question 3 Find the equation of the line tangent to the graph y = x3 – 3x2 – 5 at the point of inflection. (A y= - 3x+6 B y= - 3x – 4 y=6x+6 y=x+2

Q: Discuss and trace the curve of the following equation. 2. y = x+3 у %3D 1. у %3D x²-16

A: The general form of a polynomial function is given by a0xn+a1xn-1+···+an, where a0, a1,···,an are…

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

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Q: Find the equation of the curve for which = 6- 9x and which passes through the points (0, –1) and (2,…

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Q: Find the equation of the image when y = -x+2 is reduced with scale factor of 2/3 centered at (1 ,…

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Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: QUESTION 1 Find the equation of the line tangent to the curve In(x3+v) = xv3 at (1, 0)

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Q: In Problem,determine which of the given points are on the graph of the equation.

A: The equation: y=x3-2x & points 0,0, 1,1, 1,-1

Q: Question 7 What is the x-intercept of the following equation: y = 1/2x+ 1 A) (-2,0) None of the…

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Q: Find an equation for the tangent to the curve at the given point. у -х2 - 3, (-2,1) О А. у3 - 2х -7…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: QUESTION 16 Given the intercept on y axis to be 1.8 and Sxx=70 and Sxy = -6 for given y = 1.5, the…

A: As question-16 was asked to solve, it was answered. Question: 16

Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points…

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: Question 6 Determine the equation whose Y'=Y/3x A y= 3. B . x² = y3 1. 3x2 = y

A: We have to solve

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation…

A: Given differential equation of the curve:d2ydx2=6-9x. We have to find the equation of the curve at…

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2

Q: QUESTION 12 What is the y-intercept for h(x) = 4x2+5x – 6? O A. (0, -6) B. (0, -5/4) OC. (0, 5) O D.…

A: y- intercept is given at x=0

Q: Question 7 What are the coordinates of the points in the graph of y2-x2+6x – 13=0 in which the…

A: Explained below

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A: Given x2y+ay2=b

Q: QUESTION 6 If fix) – x and f(x)-3x², then the slope of the curve y-fx) at x -2 is : O 12 02

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Q: 1 The equation Y=x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?…

A: let m be the slope of the line passing through the point (4,6) Then equation of the line is…

Q: In Problem,determine which of the given points are on the graph of the equation.

A: Given equation is: x2+4y2=4 ....................... (1) Given points are: 0,1; 2,0; 2,12 Now…

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Q: QUESTION 14 Fill in the blanks below to find the equation for your line of best fit: y = bx + a so y…

A: Given: 14 y=bx+a

Q: Question 3 Let f(x) = 2r - 3x2 – 6x + 2. Find the the equations of all tangent lines to f which are…

A: we have to find the tangent line which in parallel to the line y = 6x

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

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Q: QUESTION 6 Find an equation for the tangent to the curve at the given point. y = x2 - 3, (-3, 6) O y…

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Q: Question 14 A line is tangent to y = x³ - 2 at (2,6). What is the coefficient of x when the line is…

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Q: Problem 10. Find an equation of the line tangent to the curve defined by x + 6.xy + y* = 72 at the…

A: Differentiate the given equation and get slope of tangent at (2,2):…

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

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Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6,…

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Q: Question 13 d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of…

A: To find the equation of the curve satisfying the given conditions .

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Q: Question:2) Which of the following point is not present on the curve which has the equation x² + y =…

A: Given: x2+y=25 The point (3, 14) is not present on the given curve Since, The point (3,14) not…

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

Q: The general equation of the circle that passes through the points (-3,4), (2,–6), and (5,0) is x2 +…

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Q: A graph is given by the equation y2- 4x3 = 6y. Find where this graph would have %3D horizontal or…

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

Q: 6. Graph the line with the equation y= jx+ 1.

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Q: Find the equation of the curve for which y"=6x^2, and which passes through the points (0,2) and…

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Q: In Problem ,draw a quick sketch of each equation y = 1/ x

A: we have to draw the sketch of the given equation. y=1x

Q: Find the equation of the line that passes through the point (2, – 1) and is perpendicular to the…

A: To find the equation of line passes through the point (2, - 1) and perpendicular to the line given…