What is the shortest possible length of the line segment thatis cut off by the first quadrant and is tangent to the curve y =3/xat some point?

Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

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

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

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

A:

Q: Find the points on the curve y = x4- 6x2 + 4 where the tangent line is horizontal.

A: y=x4-6x2+4 Differentiating with respect to x, we get dydx=4x3-62x+0=4x3-12x Now the tangent line is…

Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: Find the length of the curve 36y2 = (x — 4)3 , 2 ≤ y ≤ 3, y ≥ 0.

A:

Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

A:

Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

A:

Q: As the number of rectangles (of equal width) in Figures 5.4 and 5.5 goes to infinity, which of the…

A: Given: To explain the correct option of the given statement as follows,

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:…

A: To find the point on the curve y3=6x2 where the tangent line is perpendicular to the line x-y-9=0 .…

Q: Find the points on the curve y = 2x3 + 3x² – 12x + 7 where the tangent line is horizontal.

A: Given,          The points on the curve y=2x3+3x2-12x+7 where the tangent           line is…

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: Find the exact length of the curve. Ex372, 0sxs 4 y =

A:

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: Show that the curve y =(1 + x)/(1 + x2) has threepoints of inflection and they all lie on one…

A:

Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)

A: The equation for the lemniscate

Q: For what values of a and b is the line-3x + y-b tangent to the curve y = az3 when x-5? a=

A: The value of slope of tangent to the curve at the point is the value of its derivative at that…

Q: What is the length of the curve y = sqrt(4-x2) from x = -2 to x = 1?

A: y=4-x2 Differentiating with respect to x, we get dydx=124-x2·d4-x2dx   ∵dxdx=12x=124-x2·0-2x=-x4-x2

Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: Find the slope of the tangent line to the circle x2+y2 = 4 at (1,-v3)

A: To find the slope of tangent line to the circle x2+y2=4 first find the derivative dydx.…

Q: Show that the square of the length of subtangent at any point on the curve by 2 = (x+a)3,(b is not…

A:

Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: 5.127 6.445 4.331 3.474

A:

Q: Show that the tangents to the curve y2 = 4px from any point on the line x = -p are perpendicular.

A: The given curve is,

Q: Find the exact length of the curve. 1 + X = 8 , 1< y< 2 4y2'

A: It is given that,       x=y48+14y2,   1≤y≥2we have to find the exact length of the curve.   So, we…

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

A:

Q: Find the point (in the first quadrant) on the lemniscate 2(x2 + y²)² = 25(x² - y²) where the tangent…

A:

Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: A) 4.331 в) 3.474 5.127 (D)…

A:

Q: Find the exact length of the curve x=y4/4 + 1/8y2 where 1 is less than or equal too y is less than…

A: Given that           x = y4/4  + 1/8y2 , 1&lt;= y &lt;= 2 Here we have to find the exact length of…

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

A:

Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

A:

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0 sts 4

A: We find dx/dt and dy/dt

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

A:

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 6  where the tangent line is horizontal.

A:

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

A:

Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: Find the shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

A:

Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4

Q: What is the smallest possible area of the triangle that is cutoff by the first quadrant and whose…

A: Given that the triangle that is cut off by the first quadrant and whose hypotenuse is tangent tothe…

Q: What is the slope of the line tangent to the curve y = x4 – 8x3 + 22x2 – 24x + 9 at x = 1?

A:

Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

A:

Q: Find the equations of the tangents to the circle x² + y² = 9 with slope 1

A:

Q: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

A:

Q: Find the exact length of the curve. X=1/3sqrt(y)(y-3), 9 less than or equal to Y less than or equal…

A:

Q: Find the exact length of the curve. y = 4 글2-글 In(x), 1 < x < 4

A:

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…

A:

Q: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

A:

Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

A: