Find the exact length of the curve. 0 < x < 6 %3D 3

Q: Q7/Find a point where the tangent line to the graph of f(x)=x-x2 is parallel to the line x+y-2=0.…

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Q: Find the exact length of the curve. y? = 16(x + 1)³, 0 0

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Q: Find the value of x below. Assume segments that appear tangent are. 2x + 10 3x + 7

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Q: All solutions approach the curve y = 2-t² ast → ∞.

A: This is the question of the differential equation.

Q: Find the extreme values of ƒ(x, y) = x3 + y2 on the circle x2 + y2 = 1.

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Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

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A: Given, x+2y2=x+10 Find the slope of the above curve at the point (1, 2).

Q: 0. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y = 3x5 – 5x³ + 4 8. Y=…

A: 7.   Given: y=3x5-5x3+4Domain: ℝ,   Range:ℝOrigin:…

Q: Find all values of ? where the graph of the function ?(?) =(4?+1)/(?^2+3) has a horizontal tangent…

A: To find the points where function has horizontal tangent line on the graph

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Q: Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to…

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Q: 3. Trace the curve y (x-1)(x+3)'

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: a. Find the tangent to the curve y = 4cot at x 2. b. What is the slope of the curve with the…

A: Given:       y=4cot πx8 at x=2       y=4cot πx8       substitute x =2       y=4cot π28       y=4cot…

Q: a) Find the Extreme values of f(x, y) = x³ + y² on the circle x² + y² = 1.

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Q: Question 1 part b

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Q: c) How do you fit a curve to data? Fit an equation of the form y = a₁ + a,x + ax² to the given data…

A: Given:The data is given.Here we have to fit curve to the data.

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: y = f(x)=x(5–x)²/3 .

A: See the attachment

Q: (a) Find the slope of the tangent line to the circle x? + y? = 25 at the point (3, 4). (b) Which…

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Q: 2.x? Sketch the curve y= x² - 1

A: y=2x2x2-1 y=2x2x-1x+1

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Q: Sketch a graph of y? = x* – 12x , find the coordinates of the points on the graph of y? = x³ – 12x…

A: giveny2=x3-12xwhen tangent line is Horizontal ,then slope will be zero.differentiate the…

Q: circles through the origin centers on the x-axis

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Q: Find all values of the parameter pp for which the line y=12x+2 is tangent to the graph of y=px2+20.…

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Q: 25 Which of the following is the shortest distance from the point 0 to the curve y= VE a) 4 b) 5 C)7…

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Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

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Q: Find the point on the curve y= v2a +5 which is closest to the point (6, 0). > Next Question.

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Q: Find f(x) if f(0) = 4 and the slope of the tangent line is 4x3+ 2x. %3D

A: Given f(0)=4 and the slope of the tangent line is 4x³+2x

Q: A circle as an equation of x²+y²+2ky=0. Find the value of K when the length of the tangent from…

A: Equation of the circle :      x-h2 + y-k2 =r2 ; where , (h,k) is the center and 'r' is the radius.

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Q: Question 5 The slope of curve is given as (2x + b + 5) and has a value of at x = 2. What is the…

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