Find the distance between the points (1, 1) and (3, 9) along the curve y = = x?.

Q: The slope of the tangent line at any point (x, y) on a curve is 2,. If the point (9, 3) is on the…

A:

Q: Find the coordinates of the point in the first quadrant at which the tangent line to the curve 7x –…

A:

Q: Solve for the value of x. Assume that lines which appear to be tangent are tangent. 32

A:

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an…

A:

Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

A:

Q: 31° C D

A: Given:

Q: Determine whether line segment AB is tangent to the circle. If yes, choose the equation that proves…

A:

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: The straight-line distance from Earth to Mars at the time the launch is scheduled is 100 million…

A: The straight line distance from earth to mars at the timethe lunch is sheduled is 100 millionmilees…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

Q: Find the exact length of the curve over the given interval. y? = 4(x + 4)*, along 0 0.

A: we have to find the exact length of the given curve

Q: Find an equation of the cricle that satisfies the given conditions. (Use variable x and y.) Circle…

A: It is given that both x and y-axes are tangent to the circle and circle has the radius 4 with the…

Q: Solve for x. 2 30

A: Solve for the value of x

Q: The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve,…

A:

Q: 2) Kaybiang Tunnel located in the Ternate- Nasugbu area is said to be the longest underground tunnel…

A: Given : Length of tunnel is 300 metres and vertical distance is 4.85 metres

Q: Find all values of y such that the distance between (4, y) and (-2, 6) is 10 units

A: Given that the distance between (4, y) and (-2, 6) is 10 units.

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

A:

Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

A:

Q: at what point do the line intersect on the unit circle

A: The given line is,

Q: Decide whether the problem can be solved using precalculus or whether calculus is required. If the…

A: Given y = x2 given points (1, 1) and (3, 9)

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

A:

Q: Find all the points where the lemniscate (x2+y2)2=4(x2-y2) has horizontal tangents

A:

Q: 14. Solve for x. 3x r+4 19 8.

A:

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

A:

Q: Write an equation for the tangent line at the given point 1) x* +y? = 4, (JZ, 2) 2) xy = -4, (2,-2)

A:

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

A:

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

A:

Q: Find the values of x such that the distance between the points (-4,-2) and (x, 3) is 13 units. [show…

A:

Q: Find a value for x so that distance from (x,3,6) to the origin is 9

A:

Q: The curves f(x) = x² + x + 4 and g(x) = - 5x + 20 intersect at the point (2, 10) Find the acute…

A: Given, fx = x2+x+4  and  gx = -5x+20  intersected at the point  2, 10 We have to find the acute…

Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.

Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y+ 3)2 = 50 at the point P…

A: Here, the given equation of the circle is (x-3)2+(y+3)2=50. We need to find the equation of the…

Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,…

A:

Q: Ex. 2: Find the length of the 2/3 curve

A:

Q: Find the slope and concavity of the curves at the given points. r = sin θ,θ = π/6, π/3

A:

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

A:

Q: f segment KJ is tangent to circle L, solve for x.

A: If segment KJ is tangent circle. The KJ is perpendicular to JL.

Q: The curve has an equation of x = y^3, find the radius of gyration with respect to the x-axis. * O…

A: The curve has an equation x=y3 K=IxA K= Radius of gyrationIx=Moment of inertia/Secon moment of…

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 – 2x.…

A:

Q: Find two numbers y such that the distance from 1 - 3, 22 to15, y2 is 10.

A: The distance from -3, 2 to 5, y is 10.

Q: go Find the equations of the tangent lines to the graph of y=x²+6 graph of a to 197 +6 that through…

A: To find out the equation of tangent line and also graph it.

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A: