L' M' Which describes how the transformation affects the coordinates of the vertices of trapezoid LMNOZ (x. y) - (x, y) B) (x, y) - (-x, -y) (x. y) - (X. -y) (* y) = (x - 5, y - 2)

Q: The equation of the area of the plane region bounded by y = x^3 and the lines x = 1 and y =0 is…

A: Detail solution written below

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

Q: 14. x + y -4x-12y-129 0 Standard Form: Center: 2,) :(2,6) Radius: \3

A: Steps are shown just try to have (a±b)2 , by substituting any number by substraction and addition.

Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: Determine the orthogonal trajectories of the hyperbola 3xy= 5 at the point (2, 5/6). Sketch the…

A:

Q: Obtain the DE based on given conditions solve for item 1 only.

A:

Q: 7. Sketch the surface 15zs9-x' - y² and x'+y' <1

A: To find:

Q: 2. Draw a phase line for the equation y' = y (y – 5). If y(0) 2, what is the lim y(x)?

A:

Q: 5. Use traces to sketch and identify the surface x2- y? - z2 = 4.

A:

Q: Sketch typical solution curves in the regions in the xy-plane determined by the graphs of the…

A: Given: f(y)=y2(9−y2)  To find: Solution

Q: Determine the surface of revolution of arc y³+y=x²+6x on the interval [-5,-1] if it is revolved…

A: Use the formula of arc length to determine its length. Now use to it determine the volume generated…

Q: sketch the graph xyz plane x^2+z^2=4

A: GIVEN: x2 + z2 = 4

Q: 11) Find the distance between point A(-3, 1,1) and the line of symmetric equations x = -y = -z.

A: This question is related to coordinate geometry, We will solve it using given information.

Q: 10 Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system…

A: Consider the function. Graph the surface and the tangent plane at the given point. To sketch the…

Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2) , the robot turns 90°…

A: The robot begins moving at (2,1) and reaches at (5, 2) taking a linear path. So, the equation of a…

Q: 17. A robot begins moving on a linear path at (3, 1). When it reaches (5,2), the robot turns 90°…

A: Here, given that the robot is moving on a linear path from (3,1) to (5,2). Therefore, the slope of…

Q: Find an equation of a generating curve given the equation of its surface of revolution. x2 + y2 − 2z…

A: Given equation of surface of revolution is, x2+y2-2z=0

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

A: see below the answer and calculation

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

A:

Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

A:

Q: Find az/ay for a level surface x2 - y2 + z2= c at the point (-3,8,8). Give your answer correct to…

A:

Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: Linear equation

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

A:

Q: (2) The distance from the point (1, 2, -1) to the plane 3x - y + 2z = 6 is. (3) Consider the…

A:

Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices…

A:

Q: A line segment bounded by two points (0,0,0) and (2,2,0) is rotated about the y-axis by 270 degrees.…

A: We will first parametrize the line as a function of t , then with the help of rotation (u) matrix we…

Q: 39. The plane that passes through the point (1, 5, 1) and is perpendicular to the planes 2x +y - 2z…

A:

Q: How many second partial derivatives does f(a,b,c, d) have?

A: Let p=fa,b,c,d. Note that, for a function of two variables p=fa,b there are four second partial…

Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: We have to find the y-coordinate.

Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: This is a problem related to linear coordinates. based on the diagram shown in solution we will…

Q: 4 and the plane Find the point on the curve of intersection of the paraboloid x- + y- x - y + 2z = 0…

A:

Q: Find the minimum distance from the point (2, –6, 6) to the plane 2x - y + z = 0.

A: NOTE:- the distance between a plane say px+qy+r z +s=0 and a point say u, v, w is d= p u+q v+r…

Q: invented

A: We have to give the example according to the given information

Q: How do you remember the methods for partial derivatives in the chain rule for several variables?

A:

Q: 39. The plane that passes through the point (1, 5, 1) and is perpendicular to the planes 2x + y – 2z…

A: Given:

Q: The line through the origin whose projection on the xy-plane is a line of slope 3 and whose…

A: In this type of questions we assume a line an points on that line. Suppose we have a line and points…

Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: Line AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above…

A: Steps to find HT: Draw xy, one projector and locate VT on it. Draw locus of a110 mm above xy. Take…

Q: 5. Parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,-4) over the line y = x ty 6.…

A:

Q: How many second partial derivatives does ƒ (x, y, z, t) have?

A: We have to find the number of second partial derivatives.

Q: The slope of the surface z = xy2 in the x-direction at the point (2,3) is ______, and the slope of…

A: Given, surface, z = xy2Differentiating the z with respect to x assuming y as constant,∂z∂x = y2×1 =…

Q: Region Ris enclosed by the curve y = 2 Vx – 3, the line y = 4, and the line a = 3. y = 2/z – 3 y = 4…

A:

Q: 8. Consider the parabola whose equation is y=x² -4x and the line whose equation is y=2x+b, where b…

A: y=x2-4x  &amp;  y=2x+b Put y=2x+b in y=x2-4x, we get ⇒2x+b=x2-4x⇒x2-4x-2x-b=0⇒x2-6x-b=0 To intersect…

Q: 2. Center: (2, -1) Focus: (2, -31) Vertex: (2, 23) (v+1)° ¸ (x-2)² [A] = 1 576 324 (y+1) _ (x-2)*.…

A:

Q: A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³ = 4x²y³ Determine dy/dx…

A: See this solution in below

Q: how many second partial derivatives does f(a,b,c,d) contain?

A: