Find the equation of the line tangent to the graph a the given point using definition and verify by using rules. Also find all the point where the normal line to the graph it is perpendicular to y= 4x - 3 1) y = x2 - 2x + 5, x = -3 1)

Q: Give the equations of the lines through the point (0, 9) that are tangent to the curve y x + 4 Use…

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Q: Find the points where the tangent is parallel to OX. y = x4 - 8x3 + 22x2 - 24x + 9

A: Given: y=x4-8x3+22x2-24x+9.

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 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: 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 slope of the secant line which connects the points (-2, 4) and (2, 0) on the following…

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Q: The slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, it is…

A: Given: The slope of tangent line 0, To prove: The slope of line is undefined.

Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

A: Given curve, x^2+xy-y^2=1

Q: y = 4x3 – 12x² – 16x at x = 1

A: Equation of line at point (a, b) and slope m is : (y - b) = m*(x - a)

Q: Find equations of the tangent line and normal line to the curve y = x/x at the point (1, 1).…

A: y=xx

Q: FIND THE EQUATION OF THE TANGENT AND THE NORMAL TO THE CURYE Y =5X' AT THE POINT (1. 5).

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Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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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: Find the slope of the tangent line to the graph at the given point. 4xcosy+1=5 at the point…

A: To find the slope of the tangent line we need to find dydx.…

Q: 1) The equatiqn of the normal to the (urve y= 4x-3x2 at the point (I,1) is :

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Q: Find the tangent and normal lines to the curve ペー9ーチ at the Pomt (-62)

A: Given, The equation of the curve  x2-xy+y2 = 7  We have to find the equation of tangent and normal…

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: y = x3 + 6x² + 9x – 2 at x = 0 -

A: topic - equation of tangent and normal Line to the curve

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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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: x4 3x2 at x = 2 y = 4 2.

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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: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: At what point of the curve y = x* is the normal line parallel to 2x + y = 3? 2 16 ㅇ (, ) (뚜 든) 이 o…

A: To find  The point of the curve y=x^4 is the normal line parallel to 2x+y=3.

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: 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: Ex – 4y + 2 = 0 at (1,2) 9, tangent line II to the line 4y tangent line I to the line x – 0 at r = 3…

A: 9. The given curve is x2-xy+2y-2=0, at x=3. Put x=3. 32-3y+2y-2=09-y-2=0y=7. The point on the curve…

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 an equation of the normal line to the curve of y =    root x that is parallel to the line 4x…

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

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Q: y = x3 – 3x2 – 9x + 5 at x = 1

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

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 slope of the tangent line to the curve defined by 2.- 6zy – 9y? - -622 at the point (1,8).…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find equations for the tangent line and the normal line to che graph x² + y? = 5, (2, 1) tangent…

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

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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: A curve contains (3, 7) has slope of tangent line is 4x – 5. What is the curve equation?

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

A: We have given the equation y = 5xex and the point (0, 0).

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

A: Draw the graph of the given curve and the given parallel line.

Q: Find the points on the curve y = tan x, -π/2 < x < π/2, where the normal line is parallel to…

A: Given, To find Find the points on the curvey = tan x, -π/2 < x < π/2, where the normal line is…

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*,…

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

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 tangent line and the normal line at the point corresponding to the given…

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Q: Find the equation of the tangent and normal line using the stipulated conditions   2.) x2 + 2y2 =…

A: The equation of tangent line is x2+2y2=9⇒x29+y292=1we have a=3 and b=92Since, we know that the…

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the…

A: Question is solved.

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: Find all points on the curv of the tangent line is -1.

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