9. GU Plot f (x) = /2x – I together with the horizontal lines y 8 > 0 such that if 0 < |x – 5| < 8, then |/2x – I- 3| < 0.1. 2.9 and y = 3.1. Use this plot to find a value of %3D

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…

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Q: 4- Distribution of velocity (DV) of a molecule is given with the following equation DV = ae bv…

A: DV=ae-bv22eD.v2for DV is maximum  Diffrentiate both sides with respect to…

Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: Find the x Coordinate of the point on the graph of 4=x² where the to the Secant. Longent tine.…

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Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

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

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y2)² = 4x²y, (-1, 1)…

A: Given equation :x2+y2=4x2ywe have to find the slope of the tangent line at -1.1

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? 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 What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point…

A: As per guidelines we have to solve the 1st one

Q: 11. Find k if the curve y=x +k is tangent to the line y= 2x.

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

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Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

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Q: 4. Sketch the graph and find the relative extrema on the indicated interval: y = 4x1/3 + x1/3 [-2,2]

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Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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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: 4. At what point on the curve x = y² – y will the normal line cross the y-axis at y = 8?

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Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

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 slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: The slope of the line tangent to the graph ofy= xe^ at x =In 2 is A 2 In 2 2 In 2+2 B.

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: B. Find the length of the curve y = x² from x 0 tox = 4.

A:

Q: Find the equation of the tangent and normal line using the stipulated conditions   1.) y = x2 - 5x…

A: Given the equation is y = x2 - 5x The point of intersection line y=6 The equation of the tangent is…

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: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: 18. Find the equations of the normal lines to the curve y = x3 - 4x that is parallel to the line x…

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Q: Let k (x) = 2x and consider its graph. %3D Find the slope of the secant line of this curve…

A: A secant line is a straight line joining two points on a function. It is also equivalent to the…

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y 8, (2, 1) Witch of…

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Q: Exercise 25. For which x- values does the graph of y = e3a-2a²-4x has a horizontal tangent line?…

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Q: 15.)) What is the slope of the line tangent to the curve y +2 = - 2sin y at the point (2, 0)? 2 (A)…

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Q: O Find the equation of tne curuve at cvery point that passes through the point C0-1) and which the…

A: The equation of the curve which passes through point (0, -1) and which the normal line at point (x,…

Q: For what value of the constant k is the line x+y=k normal to the curve y=x^3

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Q: Find all points (x, y) on the graph of y with tangent lines perpendicular to the line y = 4x - 5. (x…

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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: What is equation of the line normal to graph of y = x^3 + 3x^2 + 7x - 1 at the point where x = -1? O…

A: Solving the problem by finding the normal of the given equation.

Q: What is the equation of the normal line to the curve x2 + y2 – 6x – 2y=0 at (2,4)? (A) х+3у+ 10%3D0…

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Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible…

A: