What are the new coordinates of the point (-5, 25) under the dilation (x, y) - (2x, 2y)? O (-10, 100) O (-10, 50). O (-5, 50) O (-5, 50).

Q: Find the distance between the point (0,0,0) and the plane 2x – y + 2z = 4

A:

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: Calculate the distance between the points J (-7,0) and L= (-2,-4) in the coordinate plane. Give an…

A: Given,            Two points J(-7,0) and L(-2,-4) in coordinate plane we need to calculate distance…

Q: Find the acute angle between the curves y = (/3)x3, and y = (/3)/5 x at the point of intersection…

A: The given curves are y=3 x3 and y=35x=15x and the point of intersection of the two curves are P1, 3.…

Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

A:

Q: the equation of the tangent plane where z=x^2 - 2xy - y^2 -8x + 4y

A:

Q: Find the distance from the point (−3,0,2) to the plane - 3x + y + 5z = 0

A:

Q: Find the distance of a point (1, 2, 3) to the line L: x = 3 + 9t, y = -2 + It , z = 7t. Give your…

A: Find the distance of point to the line L.

Q: Find the distance from the point (3, -4, 2) to thea. xy-plane b. yz-plane c. xz-plane

A: The 3D view of the point is as below

Q: where does this concave up and down?

A: A graph is concave up if f''x>0 and concave down if f''x<0. When f''x>0, it means…

Q: Perpendicular to y + x = 0; (2, 0) on line

A: To find equation of a line ,which is perpendicular to line y+x=0,and point (2,0) lies on line.…

Q: Find the equation of the tangent plane to z = In(x?y) – x/ỹ at (-,4). %3D

A:

Q: Tangent drawn from the point (4, –3,10) to the intersection curve of z = x² and z = 25 – y² surfaces…

A:

Q: find the distance from the point to the plane. (0, -1, 0), 2x + y + 2z = 4

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21,    (−3,…

A:

Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: ie point where x (-)- %3D

A: Maxima and minima: f(x)=x2+kxWe should find the value of f'(x) Then we calculate the value of x for…

Q: Calculate the distance between the points F = (1, -1) and Q= (7,-8) in the coordinate plane. Give an…

A: Given are two points F(1,-1) and Q(7,-8) FQ=1-72+-1--82=>FQ=-62+72=>FQ=85

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

A: Given a point, (2, 0, 0) and the equation of the plane x + 2y + 2z = 0.

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Find the orthogonal trajectories of the family of circles with center at the point (0, 1) and radius…

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 tangent plane to the equation z = 3x? – – 60) - y² – 4y at the point (4, 2, - -

A:

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

Q: Find the distance between the point (0,0,0) and the plane 2x – y + 2z = 4.

A:

Q: Find the tangent plane to surface 8x2 + y2 + 4z2 = 25  at the point ( 1, -1, 2 )

A:

Q: A few years ago, there were light sabre battles. What is the distance between two light sabers given…

A: Solution of this question is

Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

A:

Q: A point moves such that the ratio of its distances from two fixed point is constant, show that its…

A: Let the moving point be P (x, y, z). Let A(a, 0, 0) and B(-a, 0, 0) be two fixed points.

Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

A:

Q: The region is bounded by the curves y = x² and y = 4x - x² and is rotated about the line X = 4. %3D…

A:

Q: What are the new coordinates of the point (-10, 10) under the dilation (x, y) (4x, 4y)? O (40, 40) O…

A:

Q: Find the distance between the point (3, 1, −2) and the plane x + 2y − 2z = 4.

A: Given,             Point  (3, 1, −2)          Plane   x + 2y − 2z = 4

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4 y + 10 = 0 A. Intersects at the origin B. Are…

A:

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 7z2 = 27,   (−3,…

A: Differential equations are those equations of mathematics that involve dependent variables ,…

Q: What are the new coordinates of the point (13, 28) under the dilation (x, y) → (7x, 7y)? O (91, 146)…

A:

Q: Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an…

A:

Q: Cannot solve

A:

Q: Find the distance from the point (0,8,9) to the plane – 2y + 3z = 11.

A: In this question, we will find the distance from the given point to the given plane.

Q: Find the image of the point (-2,4) under a shear of factor 5 in the y- direction. (2, 6) O (2, -6) O…

A:

Q: Show that the surfaces S1 : 4x + y° + 9z² = 108 and S2 : xyz = 36 are tangent at the point (3, 6,…

A:

Q: The 50 g bullet travelling at 100 ms-1 strikes the 2 kg block centrally and is embedded within it.…

A: Please check step 2 for the solution.

Q: A bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane…

A:

Q: What are the new coordinates of the point (3, -4) under the dilation (x, y) (0.25x, 0.25y)? O (3,…

A: We have to find the new coordinates of the point (3,-4) under the dilation (x, y) ----> (0.25x,…

Q: find the acute angles between the curves y=6x6-17x5-33x4-28x3 and y=95x2+79x+90 at their points of…

A:

Q: find the slope of the tangent to the curve of intersection between 6z=3squareroot(20-x^2) and the…

A: the cylinder equation is given by  and the plane is given by  We want to define each variable in…

Q: Evaluate | xyzdx + In(xy)dy + xzdz over the straight line segment from (2, 1, 1) to (–1,1, –2)

A: We need to evaluate integral∫Cxyzdx+lnxydy+xzdz over the line segment from 2,1,1 to -1,1,-2.

Q: Find the distance from the point to the plane. (3, 0, 10), 2.x + 3y + z = 2

A:

Q: What are the new coordinates of the point (18, 8) under the dilation (x, y) → (1.5x, 1.5y)? O (32,…

A: Given the co-ordinates (x,y)=(18,8)