Trace the following curve:

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

A: Given, The curve y2 = x34-x We have to find equation of the tangent line and normal line to the…

Q: Write an expression for the slope of the tangent line to the  curve y − f(x) at the point (a,f(a)).

A: Given: The equation of curve is: y=fx Given point is a, fa.

Q: Sketch the curve.

A: To Sketch the curve. Y = (x2-4)2x-4

Q: Construct a smooth curve tangent to the line segments starting at point P. P

A: Given: a group of line segments joining to form a zig-zag figure. Aim to form a curve which is…

Q: Which image shows a tangent line?

A: Tangent is a line that touches the circle only at a single point.

Q: y= x² +9

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Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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Q: Find curve sketching for the following equation-

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Q: Estimate the slope of the tangent line to each curve at the given point (x,y)

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Q: Sketch a curve with the following properties. 0, for x> 16 Choose the correct graph below DA. В. Q…

A: Here it is given that;  f'(x)<0 and f''(x)<0 for x<16and f'(x)<0 and f''(x)>0 for…

Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Sketch the curve :-

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Q: Find the tangent line points

A: The slope of the line passing through these points is: m=10-50.39-0.26m=50.13m=50013

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find the slope of the tangent line to the graph at the given point

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the exact length of the curve.

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Q: Plot the following curves by using excel

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post other…

Q: Use the guidelines of this section to sketch the curve.   y = x/ x2-9

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Q: (a) Find the points on the curve where the tangent lines are horizontal or vertical.

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Q: Find the equation of the tangent to the curve r = θ when θ = π/2

A: Given problem:- Find the equation of the tangent to the curve r = θ when θ = π/2

Q: Assume that lines that appear to be tangent are tangent. What is the value of x? Round to the…

A: Given figure :

Q: Use the guidelines of this section to sketch the curve   y = x (x- 4 )3

A: Consider the given function: y=xx-43 Now make a table for function value at different points:

Q: Does the following curve have any horizontal tangent? If so,where? * y = x* – 2x2 +2

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: At what points is the tangent horizontal or vertical?

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Q: Use the guidelines of this section to sketch the curve   y =2 x- tan x  ,  - pie/2<x <pie /2

A: Given: Differentiate the above expression and equate to zero to find the local minima and local…

Q: Find the equation of the tangent line of the curve

A: Given,cotx+y-sinx-y=1differentiating both the sides…

Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

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Q: exact length of each of the following curves.

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: ind the member of the curve whose slope at any poir

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Q: Use the guidelines of this section to sketch the curve.   y = x √(5- x)

A: We can not have negative number inside square root So, 5-x≥0 x≤5  Let us make a table of values x…

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

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: Use the guidelines of this section to sketch the curve.   y = x 5   - 5x

A: We make a table with different values of x and y.  x y  0 0 1 -4 -1 4

Q: The curve is given by 2 + 1), 0<x<3. 3

A:

Q: Does the following curve have any horizontal tangent? If so,where? * y = x* – 2x² + 2

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Q: Sketch the following curve

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Q: Q2- Sketch the curve:

A: We have to sketcht the curve y=x(x+1)2

Q: what is the curve?

A: what is the curve?

Q: Would it be more difficult to find the points where there is a horizontal tangent line to this…

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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 an equation of the tangent line to the curve at the given point.

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Q: Find the exact length of the curve. 1sxs2

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Q: Plot the curve.

A: Plot the curve of the function          f(x)=ex+1x

Q: Find the length of the curve over the given interval.

A: Answer and explanation is given below

Q: Find the tangent to the curve a"-'y = x"

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use the guidelines to sketch the curve; y= x/sqrt x^2+1

A: To sketch the curve y=xx2+1

Q: Find the tangent and normal line to the curve

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Q: Find the exact length of the curve Lou

A: We have to find arc length of curve in required interval .Curve equation is shown below: