2. The graph of y = x² is transformed oy = 0.5x². Determine the coordinates to which the original point (3, 9) s transformed. (9, 3) (4.5, 3) с. (3, —9) d. (3, 4.5)

Q: a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1. b Given that -1 < m < 1, find the…

A: Given,y = mx + cFor m &gt; 1Take  m = 2 &gt; 1,

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

A:

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)2 = 4(x- 5), (9, 7) %3D…

A:

Q: 3/2 Find the length of the curve. y = (x* +4)" OSxs2

A: see below the answer and calculation

Q: How do I do this?

A:

Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

Q: 15. Reflect the point (2, -4) over the y- axis. a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

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: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

A:

Q: Sketch a graph of I = t + 2t, y = t +2, t > –1 . %3D

A: Given equations are x=t2+2t,y=t+2,t≥-1. So list the values of t and obtain the coordinates in…

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

A:

Q: The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

A: This question can be solved using the concept of volume of solid generated when curve is rotated…

Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

A:

Q: 6. Find the member of the curve whose slope at any point is √y and passes through the point (2, 1)

A:

Q: Sketch the graph of y = m(r) in Figure 2. %3D 음-3, rS-1 m(x) = 4 %3D 1<r<5

A: Given,          mx=13x-3x≤-141&lt;x&lt;5

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

A:

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

A:

Q: Find a path c(t) that traces the line y = 2x + 1 from (1, 3) to (3, 7) for 0 ≤ t ≤ 1.

A: Given:

Q: (6) Find the points on the curve 5x2 + 6xy + 5y² = 9 which are nearest to and farthest from the…

A:

Q: 3. Find the image of the line y = –2x + 3 under the reflection in the line y = -x.

A:

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: b) y = 2 – 5sin (3x) Q3) Use shifting graph to sketch a) y = |Vx – 4|– 2 b) y = 2+ 3cos (2x)

A: 3)Given isa) y=x-4-2fx=xfx-4=x-4fx-4=x-4y=fx-4-2y=x-4-2b)let fx=cos xf2x=cos 2x3f2x=3 cos2x2+3…

Q: 1. Find the point on the line y = x nearest to the point (4, 1).

A: Since, we have been asked to solve part(i) which aims to findthe point on the line y=x nearest to…

Q: The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation…

A:

Q: 13. y = x², y = 0, x= 1; about the y-axis

A:

Q: 3. Find the image of the line y = -2x + 3 under the reflection in the line y = -x.

A:

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

A:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: Suppose W(8, -2) was transformed across the line y = -x. What is the y coordinate for the image of…

A: I have stated the used formula in the solution

Q: What are the new coordinates of A, on the graph below, after a reflection in the line y =x? 6. 4 B…

A: When reflecting a point across the line y = x, just switch the x and y coordinates

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

A:

Q: The points at which the graph of the equation 8x2+ y² – 16x + 8y + 8=0 has horizontal tangent lines…

A:

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

A:

Q: What will be the axis of symmetry, the line about which a figure or curve is symmetric, reflecting…

A: We have to find the line of symmetry of function and its inverse.

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

A:

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for…

A:

Q: 1 ,3/2 y92 - y"2 between the points 3 ,1 and (6,9). 3 Find the length of the curve x=-y" 1/2

A: Given : The curve is : x=13y32-y12  We have to find the length of the given curve between the points…

Q: 5. The coordinates of the vertex of the curve y = 1- 2x - 4x² are: A. G ) B. (- 5 ) €(- ) D.(- -) 1…

A: Hi, for question 6 repost

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A: