What is the slope of the normal at point A(1:1) of the graph of the function y = (x - 2)^2?

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

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Q: tangent

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Q: Find the average rate of change of f(x) = x² - x + 1 from x, = 1 to x, = 3. %3!

A: We have to find the average rate of change of function fx=x2-x+1 from x1=1 to x2=3. We know average…

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: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? *

A: Given curve :

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: What is the average rate of change of the function f ( x ) = 3 x over the interval [ 2 , 5 ]

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Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line…

Q: Show that the slope of the normal line to the curve y = 5 /(3-7x)^3 is never positive.

A: Given the equation of a curve is y=53-7x3. This can be written as y=53-7x-3. Differentiating it:…

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 y=1-x³ at x=-1. sketch the graph.

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

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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: Explain why the slope of the tangent line can be interpreted as aninstantaneous rate of change

A: The average rate of change of a function fx over the interval x, x+h is the slope of the secant line…

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 equation of the normal line to the curve 2x3-2y3-9xy=2 at the point (0,1)?

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Q: Explain how to find the tangent line and normal line equation when the slope is undefined?

A: It is given slope at the point is undefined say the point is (x1, y1).  The equation of tangent at…

Q: Find the equation of the normal line at the point indicated. y= 3x^2-2x+1 at (1,2

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Q: What is the slope of the normal line to the curve y= In(xª + 1) at x=1,

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

A: Given: 2x3+2y3-9xy=2 To Determine: Equation of the normal line

Q: What is the slope of the normal line to the graph y= -cosh(2x) at x= ln 2

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Q: Find the average rate of change of the function from x, to x,. Function x-Values f(x) = x² – 3x + 8…

A: The given function and x -values are: fx=x2-3x+8, x1=1, x2=5 Now, calculate the average rate of…

Q: The slope of a nonvertical line is the average rate of changeof the linear function.

A: Given, A nonvertical line with any slope m equation of line is, y=mx+c slope of line is m=dydx for…

Q: Find the equations of the tangent and the normal lines to the curve x5 + y5 = 4 x2y2 at the point…

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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: slope

A: Please refer to the image below

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 the slope of the normal line y^2=1-x^2 at point (2,1)

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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: find the equation of slope of tangent and the equation of slope of normal for y = -2x* + 5x° 4 2 3…

A: Given that y=-2x4+5x2-3 Take the derivative, y'=-8x3+10x The equation of the slope is,…

Q: Determine the equation of the normal line to f(x) = 9/x2 at x = 3

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Q: At the point (3,5), find the equation of the normal line to y = 4 – x²

A: Given that, The curve is foloowing, y = 4 - x2 We have to find the equation of noemal line to the…

Q: Find the equation of the normal line to the curve y= 2x -x+4 at point when x=1.

A: The solution is given as

Q: Obtain the relationship between marginal and joint characteristics functions.

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Q: Find the average rate of change and the equation of the secant line for 2x f (x) = from -1 to 3. x²…

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Q: Are the instantaneous rates and slopes of tangent lines closely connected?

A: Are the instantaneous rates and slopes of tangent lines closely connected?

Q: The slope of normal line (perpendicular to the tangent line) to the graph + = 3 at the point (1,1)…

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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: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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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: The slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, how can I…

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Q: 8. Write the equation of the normal line to the curve In x+ ye =-e at (1,-1) in slope-intercept form…

A: Equation  of normal line y-y0= 1/(-dy/dx) (x-x0)

Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).

Q: What is the average rate of change of f between x=3 and x=10

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Q: What is the slope of the line tangent to the graph of h(x)=sqrt(x) at x=3?

A: I have given the formula for finding a slope of tangent line below the proof  And it is used in this…