Find an equation of the normal line to the parabola y = x² – 7x + 1 that is parallel to the line x – 5y = 4. y = Need Help? Read It Watch It

Q: Assume that the two variables x and y are related according to the simple linear regression model.…

A: We know, Slope=∑ xy-1n∑ x∑ y∑ x2-1n∑ x2          =1687.9-115×53×582167.42-115×532          =18.567

Q: Use Linear Regression to fit a straight line to the data shown. Show your manual solution…

A: Solution-: Given data: X Y 0 2.9 1 3.7 2 4.1 2.5 4.4 3 5 We find the equation of…

Q: A.) Fit the Multiple Linear Regression model to these data (Find the line) B.) Use the linear model…

A: Solution Given observation   As per requirement solve problem manually

Q: ive the Normal Equations to fit the parabola y = a + bx + cx².

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Q: d. The curve y= In x , y-axis, the lines y 0 and y 4.

A: Given, We have to find area of region bounded by  y = lnx ; y axis ; y =0 and y = 4.

Q: Find the equation of the normal line to the curve y = at a) 8x + 2y = 7 b) 2x + 8y 7 c) 8x-2y = 7 d)…

A: As we know that, The equation of the normal line to the curve at a given point is; y-y1=mx-x1 Where;…

Q: Use the table to calculate the 80 % y 3 22 23 5. 29 6. 27 7. 29 8 31 Regression Equation: y…

A: ∑x=33∑y=161∑x2=199∑y2=4385∑xy=916

Q: Obtain the line of regression of y on x from the above data. Compute y when x = 3.55

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a…

Q: at x = 2 2. Find the equation of the normal line to y

A: The solution of the problem is given in the next steps.

Q: x² + y? – 4x + 6y + 11 = 0 ,2 %3D

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Q: What is the equation of the normal line to the curve x2 + y? - 6x - 2y=0 at (2,4)? (A) Зх-у+103D0 B…

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Q: b) Find the equation of the normal line to the curve y = 1 – x³ at x = -1. Sketch the graph.

A: given:  y=1-x3           1 Differentiating (1) wrt x dydx=-3x2 At x=-1, dydx=-3 Also, At x=-1, from…

Q: 1) The equation uf the normal to the rurve y= 4x-3x² at the point C, is:

A: Product of slopes of two perpendicular lines is -1.

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line…

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Q: Fit a straight line to the x and y values in the table below using Least Square Regression Method.…

A: Let's find slope of straight line using least square regression method.

Q: For the given data (0, 5), (1,9), (4, 3) find the curve y = a + byx that best fits the data in the…

A: Given the data (0, 5), (1, 9), (4, 3)

Q: consists of y = 4-x and straight line from (-2,0) to (2,0). Sketch the curve C. 64 ans: 3

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Q: Find the equations of the normal line to the surface z = at the point (1, - 2, 32). - t + 32 ||

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Q: Write the equation of the normal drawn from the point (1, -2) on the circle x2+y2-4x+6y+11 = 0

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Q: a) Find the equation of the tangent line to f at (3, 27/13). y = b) Find the equation of the normal…

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Q: The inclination of the normal with positive direction of x- axis, drawn at another end of a normal…

A: The inclination of normal with positive direction of x-axis, drawn at another end of a normal to the…

Q: Fit a straight line to the x and y values in the table below using Least Square Regression Method.…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 9.Reduce the general equation of the given straight line y-x 3=4 to the normal form.

A: y-x3 = 4for normal form equation should be in the form x cosα +y sinα = p∴-x3 +y = 4

Q: Find the point at which the line y = 8x – 31 is tangent to the graph of y = eXf-16). %3D The point…

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Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Find the length of the curve  x=y4/8+ 1/4y2 , 1≤Y<B

A: Consider the curves, x=y48+14y2,   1≤y≤2 Differentiating with respect to ‘y” then,…

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

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Q: 50. Find an equation for a line that is normal to the graph of y = xe and goes through the origin.

A: Given: y=xex

Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)?

A: the equation of the normal line to the ellipse can be found by differentiating the given equation…

Q: Consider the regression equation y, = B, +B,x; +u;, i=1,..,N . %3D Exy, - Nãỹ Ex² - Nx? B = j-Bx.…

A: Using the given data on 10 observations.  Taking 2nd column as X and 3rd column as Y.

Q: Q3) Detirmine tehether thi given Vecters are linearly defendont or linearly indyfenclent 4 3. -3 6.…

A: These are linearly independent.

Q: 3y2+6xy+4x2-2y=5 find 25 times the slope of the normal line at P(-2,1)

A: The given equation is 3y2+6xy+4x2-2y=5 It is asked to find 25 times the slope of the normal line at…

Q: Find the equation of linear curve fitting by using the following data. Use 3 decimal places. 3. 2. 4…

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Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x +…

A: Definition used -                         Slope of normal - The slope of normal at a point is the…

Q: Given the curve: xey + 2x - y² = 3.

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Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: Find the normal equations to the curve 2* = ax + bx + c 2 = ax + bx + c

A: This is a problem of the application of differential Calculus.

Q: fx=-3x^2/(5x+2) a) Find the equation of the tangent line to ff at (3,−27/17)(3,−27/17) y=? b)…

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Q: || х? + у? — 4х — 21 3D 0, (5, 4)

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Q: Find the equation of the Normal Line to the curve y 2 = x at (4, 2). A 4х — у — 18 %3D 0 B 4х + у 18…

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Q: Find the tangent line and the normal line to the curve at the given point. x²y? = 36, (-1,6)

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Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: a) Find the point of intersection of the curves y = x and y = 2 – x.

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Q: What is the equation of the normal line to the curve x2 + y? - 6x- 2y=0 at (2,4)? A) x+ 3y- 10 = 0 B…

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Q: Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).

A: Given equation is y2+x1+y-4=0 and we have to find the equation of normal to the…