Let P(0) be the terminal point of 0 on the unit circle. What is its x-coordinate if y = b – 1?

Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: Show that the curve y = x? sin 3x touches the parabolas y = x andy =-x² alternately at infinite…

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Q: Find the abscissa on the curve x²=2y which is nearest to a point (4, 1). А. 0 С.2 В. 1 D. 3

A: Use the distance formula then minimise using derivative.

Q: Find the tangent line to the given circle as directed. x² + y² + 10x – 6y – 2 = 0 parallel to y =…

A: Equation of the circlex2 + y2 +10x -6y -2 = 0⇒x2 + y2 + 10x -6y -2 + 25 - 25 + 9 -9 = 0           .…

Q: Let C be the curve y = 8/a for 2.1 < x < 3.8.

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Q: Find the exact length of the curve.

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Q: Find the maximum and minimum values of the function ƒ(x, y) = 3x + 4y on the circle x2 + y2 = 1.

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Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Find the exact length of the curve. y = 1 - e-x ,    0≤   x ≤ 2

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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: Find the constant k so that the line with equation y = kx is tangent to the circle with equation (x…

A: Given:The line y = kx is tangent to the circle (x - 3)^2 + (y - 5)^2 = 4.

Q: Find the exact length of the curve. x =Vy ( - 3), 1sys 25

A: given: x=13yy-3

Q: 5. Tangent B. Determine the center and radius of each circle: 6. x2 + y2 =16 7. (x-2 )2+ y2 - 13 8.…

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Q: 98. Find the points on the graph of y = 2x6 – x* - 2 at which the tangent line is horizontal.

A: Find the points on the graph of  y=2x6-x4-2at which the tangent line is horizontal.

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

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: Find the exact length of the curve. y = In(1-x), 0sxs 8.

A: Given that: y=ln 1-x2, 0≤x≤18

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤l

A: Given curve is y=2 + 2x32,  0≤x≤1 The objective is to evaluate the exact length of the curve. Length…

Q: The graph, when the curve y = √3 + x² from x = 0 to x = 4 is rotated about x - axis is A B C D

A: To find the graph of the solid formed by rotating the given curve about x axis, first we find the…

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Find the length of the curve y = In(1 – x), 0sxs.

A: Given: y=ln(1−x2)0≤x≤12

Q: Find the exact length of the curve. y = In(sec(x)), OsxSa/4

A: Length of a curve f(x) in interval [a,b] is given by ∫ab1+(f'(x))2dx

Q: Find an equation of the tangent line to the graph at the given point.

A: The equation of the given graph: x23+y23=5

Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: Find the exact length of the curve. y2 = 16(x + 5)3,   0 ≤ x ≤ 1,  y &gt; 0

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Q: If a is a positive integer, then the slope of the tangent to the graph of y = a? + In(az + 1) at a =…

A: To find the slope of the tangent to the graph of the given equation

Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

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Q: Find the length of the curve defined by the y-axis. over the interval <r< 1 about 2.r

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Q: 29.Consider the circle (x + 1)² + (y – 3)² = 116. Find an equation for the tangent line drawn to the…

A: Since you have asked multiple unrelated questions in a single request we would be answering only the…

Q: Consider the implicitly defined curve xy? +3x2 = 4. %3D Verify that the point (1, 1) is on the…

A: Consider the following curve: xy2+3x2=4 Substitute x=1 and y=1 in the above curve:…

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: Evaluate | yd x - x dy along the curve C shown in the figure. (a) (0,3) (3 ,0)

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: Find equations for the tangents to the circle (x - 2)2 + ( y - 1)2 = 5 at the points where the…

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Q: Q1. Find the length of the of the curve y = from x = 0 to x = 3.

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Q: The given curve is rotated y = 3 - x2,

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Q: Find the exact length of the curve. y = x2 - In(x), 1 < x < 4

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Q: n of the curve, L. (x+ 1)* , 0 0

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Q: Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

Q: Find, correct to two decimal places, the coordinates of the point on the curve y =sin x that is…

A: Given that y=sinx So coordinate point is x, sinx.

Q: The curve given by the equation y^2=x^3+3x^2 is called the Tschirnhausen cubic. Find all values of x…

A: The curve is given by the equation y2=x3+3x2. The graph of the given function is drawn as

Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

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Q: Find a number k such that the line y=6x+4 is tangent to the parabola y= x2 + k.

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Q: Find the exact length of the curve. y = In(1 - x²), o sxs

A: Find dy/dx, then put it in the arc length formula.