A line perpendicular to another line or to a tangent line is called a normal line. Find an equation of the line perpendicular to the line that is tangent to the following curve at the given point P. yx-5x; P(5,0)

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The…

A: The given function is x2y2 = 100  at (-2,5)

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the…

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Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to…

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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 the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

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Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: B. Find the equation of the family of curve having the given slope, and the equation of the family…

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Q: The equation x+3y+4=0 is the normal line to the curve y=2x2-5x at (2, -2). Given that the line meets…

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given: y=5x2+4 ; P3,49 we know that slope at given point 3,49 is given by y'3 so, for finding slope…

Q: What's is slope of each line

A: Given : A straight line.

Q: Find the slope of the line tangent tangent to the graph a the given poin 4 y = ,x = 6 5+x 4 m = 121…

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Q: The slope of the tangent line at any point (x. y) on a curve is 2x. If the point (9, 3) is on the…

A: the slope of the curve is the derivative of the function at that point.' here we have to form a…

Q: h(x) = -3x° – 5x + 20r + 60r

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Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal…

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Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Consider the given curve x5y5 = 32, normal at (2,1)

Q: Determine the normal form of the equation of the following lines: a. line with whose equation is 2x…

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: This question can be solved by applying the concept of tangent and normal

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: Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to…

A: Substitute the point (-3,-1) in the given equation.

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

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Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Given: xy+2x-5y=2; 3,2 for finding equation of tangent, we need to find slopem1 of tangent  we know…

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Solution:- The given curve is  x+xy=6  ......(1) and point (4,1) we have to find equation of the…

Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

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Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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

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Q: Do you find the perpendicular slope of the following line to fine the coordinates? : The point on…

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Q: Find the slope of the tangent line to the curve – 4x + 4ry - 4y = 4 at the point (– 1, – 1).…

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Q: Consider the following. y = x6⁄5,    (1, 1)   Find an equation of the tangent line. Find an equation…

A: given that, y = x6/5    and     point is = (1, 1) We have to find the equation of tangent line and…

Q: Find an equation of the tangent line to the graph of y? = 4(x - 5) at (6,1).

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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: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: B. Find the equation of the family of curve having the given slope, and the equation of the family…

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Q: For what value of x is the tangent line to the curve y= x2 -6x +5 horizonta? A -3 B C) none of the…

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Q: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9

Q: Find ​(a) the slope of the curve at the given point​ P, and ​(b) an equation of the tangent line at…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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