Find the length of the curve y = 23/2 6/a with 16 < æ < 81. 18 Length is

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: The line y = mx + 1 is a tangent to the curve y = 4x .Find the value of m.

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Q: If the normal to the curve y=f (x) at the point(3,4) makes an angle of 3/4pi with the positive…

A: Near the point of tangency, say (x0, y0), the slope f'(x) of the curve f(x) is approximately equal…

Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

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 slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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Q: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find the slope of the tangent line to the curve læ? – læy – 3y: - at the point (– 1, 1).

A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

Q: 2. For what values of the numbers a and b is the curve f(x) = eaz²+bx tangent to the line y = e at…

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Q: At what point/s is tangent line to the curve given by ?(?) = ?4 − 8?2 + 3 horizontal?

A: We have to find the points where the tangent line is horizontal for the given curve fx=x4-8x2+3

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: What is the slope of the tangent line to the curve y = 3cos 2x at x= ? 4 Answer:

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Q: Find the lines that are tangent and normal to the curve y = tan x at the point (, 1)

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Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: ind the slope of the tangent to the curve 'x + y°x? = 6 at (2,1)

A: Here we need to find the derivative of the given function with respect to x

Q: Q2/Find the length of the curve T = sino + cose between -s0s

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Q: Determine the tangent to the curve 3y2 = x3 at (3,3) and calculate the area of the triangle bounded…

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Q: Find the slope of the tangent to the curve y = 25* at the point (1, 32).

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Q: Find the point(s) on the graph of y = (x2 – 168)e where the tangent line is horizontal.

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Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the point on the curve y 16 a² where the tangent line is horizontal. A (2, 12) (-2, -12)…

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Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

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Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: Find the x-coordinate of the point at which the tangent to the curve x > 0 is horizontal. Give the…

A: Here, we need to find the x-coordinate of the point at which the tangent to the curve y=xx5, x&gt;0…

Q: Sketch a curve with the following properties. 0, for x> 12

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Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: a) Calculate the length of the curve defined by x = -3 )on the interval 1 sys9.

A: (a) Given that, x = 13 y (y-3) on the interval 1 ≤ y ≤ 9   We have to calculate the length of the…

Q: 5) Find the lengths of the following curves:- 1. y = x 8 from (0,0) to (4,8) -(1010 – 1 )) 27 (ans.…

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Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: Find the coordinates of the point in the first quadrant at which the tangent line to the curve 17x –…

A: The given curve equation 17x3-xy+y3=0               .....(1) Differentiate both sides with respect…

Q: Find the exact length of the curve over the given interval. 4 3/2 X= 3 1sys4

A: Given curve is x=43y32, 1≤y≤4

Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: Find the equation of the tangent and normal lines to the curve y=sqrt(x) at the point (1,1).

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Q: Find the slope of the tangent line to the unit circle at the point where /6 * cost and y sint (0SIS…

A: Given , a unit circle  We need to calculate the slope of a tangent line when t=π6 Calculating…

Q: Q. Find the length of the arc of the curve f(x) =+3,

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Q: (b) Use the equation of the best fitting curve from part (a) to predict the distance required to…

A: (a)  The curve in  figure 1 perfectly fits the the data set

Q: Find the exact length of the curve. y = ln(1-x^2), 0 ≤ x ≤ 1/9

A: Given curve is Length of curve is given by

Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: = cost-sint, y = cost + sint;

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find the slope of the tangent line to the curve 42 4r 4y = 64 at the point (4, 2). Preview Get help:…

A: Obtain the derivative of the function with respect to x as follows.

Q: Find the length of the curve x = (1/3)(sqrt y)(y - 3) where 1 is less than or equal to y which is…

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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: image attached

A: Use chain rule: