Desrive the equation of line of regression ofyon x.

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

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Q: Find an equation of the normal line to the curve  y = sqrt(x)  that is parallel to the line  4x +…

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Q: Find an equation of the normal line to the curve  y = x  that is parallel to the line  4x + y = 1.

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Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: Find an equation of the normal line to the curve y = vx-3 which is parallel to the line 6x + 3y-4 0.

A:

Q: Find the length of curve - Vsec*t-1 dt -<ys=

A: To find- Find the length of curve x = ∫0ysec4t - 1 dt, -π4 ≤ y ≤ π4

Q: (A) Find the equation of tangent and normal to the curve 2x2 + y = 9 at (-2, –1).

A: To find the equation of tangent and equation of normal at the given curve .

Q: Find the equation of the normal line to curve y²-xy-4 = 0 at the point where y = 2

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Q: Find the equation of the normal to the curve y=x²-x -2 at the point (1, -2)

A: Given curve , y=x2-x-2 we have to find the equation of the normal to the given curve at the point…

Q: Find the equation of the normal line to the curve x3+y2+2x−6=0 at the point (−1,3).

A:

Q: find an equation of the normal line to the curve y = x4/4 +16/x4 at (-2,5)

A: Given: y=x44+16x4 for finding equation of normal at given point x1,y1, we slope m of normal at given…

Q: to***) dx . Refresh your integrating skills and evaluate

A: Answer

Q: write an equation of the normal line to the curve y=x^3-3x+1 at the point (2,3)

A: To calculate the equation of the normal line to the curve, first we need to calculate the gradient…

Q: Find an equation of normal line to the curve y = Vx that is parallel to the line 2x+y = 4.

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Q: nd the equation of the normal line to the curve y 3x2 - 2x + 1 at (2, 9).

A: To find the equation of normal line to the curve y=3x2-2x+1 at (2,9) Solution: Given equation of the…

Q: What is the point on the curve at which the normal line is parallel to the line Y = - 3X + 6? (The…

A: The function is given by y = 2x+1 The equation of the line is y = -3x+6 To evaluate: The point on…

Q: Find an equation of the normal line to the curve y = Vx that is parallel to the line 6x + y = 1. y =

A:

Q: Find an equation of the normal line to the curve of y = Vx that is parallel to the line 6x + y = 1.…

A: Given that: The curve y = x parallel to the line 6x + y = 1 To find: The equation of normal line to…

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line…

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Determine the equation of the normal line to the curve y= 2 − (1/3) x2 that is parallel to the line…

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Q: Find the orthogonal trajectories of

A: Given,          y=ax2+4ax+4a, where a being paarameter.

Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: Find the equation of the normal line to the curve y=(1+2x)^2 at (2,25)

A: Equation of a normal line to the curve y=f(x) at point x1,y1 is given by y-y1=-1dydx(x1,y1)x-x1.…

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

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

Q: Find the equation of the normal line at 2 x = 0 to the curve, y + 0. x – 3 %3D -

A: Given: Equation of the curve…

Q: Find an equation of the normal line to the curve y = x1/2 that is parallel to the line 2x + y = 1.

A: To determine a normal to the curve which is parallel to the given line

Q: Find the equation of normal to the curve y = 2x – 4x² +x- 6 at point (2,–4)

A: Given y=2x3-4x2+x-6 and point is P(2,-4)We need to find the slope i.e. y'dydx=ddx(2x3-4x2+x-6)We…

Q: Find an equation of the normal line to the curve y= sqrt(x) that is parallel to to the line 2x+y=1.

A: The equation of the curve is y=x and the equation of the line parallel to the normal line is 2x+y=1.…

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: What is the equation of the normal line to the curve 2x3 +2y³ – 9xy = 2 at the point (0,1)?

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Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

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Q: What is the standard linear approximation?

A: A linear approximation is an approximation of a general function using a linear function. They are…

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

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Q: Find the normal to the curve y = 1 - x2 at the point (3, -8).

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Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: Find the gradient of the curve . Y=4x^2 at x=3

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Q: Find the equation of the normal line for the curve y = -x3 + 3x2 + 4 at x=1

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Q: Find the orthogonal trajectory of the curve x^2 + y^2 = 2 ln x

A: See the details solution in below

Q: Find regression of line

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Q: Find the equation of the normal to the curve y=x2-x-2 at the point (1,-2)

A: To find the normal to the curve.

Q: Find the equation of the normal line to the curve y=x3+ex at x0=0.

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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Q: Find the equation of the Normal Line to the curve y² = X at (4, 2)

A: Given that,Equation of the curve is y2=x We need to find the equation of the normal line to the…

Q: Find the equation of the normal line to the curve y = 3x^2 – 2x + 1 at P(1, 2).

A: Topic = Application of Derivative

Q: Find the equation of the normal line to the curve 2x/y - 3yvx + 5xy = 22 in the point (4, 1).

A: Given,         The curve is 2xy-3yx+5xy=22 in the point 4,1.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.