Use the diagram below for questions 19-22 in which G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. %3D %3D %3D В E G

Q: Question 1: Let L denote the intersection line between the planes 2x-y-3z=4 and 2x+y-z=2 A)…

A: Given that L is the line of intersection of the planes 2x-y-3z=4 and 2x+y-z=2

Q: a) In Figure below, consider a plane surface in a uniform electric field, where d = 15 cm and θ =…

A:

Q: Consider the following. C: line segment from (0, 0) to (2, 4) (a) Find a parametrization of the path…

A: Given- C: line segment from (0, 0) to (2, 4)

Q: Find the image of the vector (1, 1, 1) for the given rotation. 60° about the z-axis

A:

Q: Question 7 Evaluate the triple by using cylindrical coordinates. ++y)dzdydx

A:

Q: Match the surface to its corresponding equation in spherical coordinates. 37 4 -3 -2 -1 0 1 2 3 3…

A: To solve this we have to find the relation of equation

Q: If the position vector of an arbitrary point is given by r = rê + yŷ + zî, the surface defined by…

A: Differentiation is a process,  where we find the instantaneous rate of change in function based on…

Q: Describe the given region in polar coordinates. Ay 6- 3- -6 -3 -3- R:

A: The graph in polar coordinate is given by

Q: 3. Use Stokes theorem to evaluate fa. In each case C is oriented counterclockwise when viewed from…

A: As per our company guidelines, We are supposed to answer only one question and rest can be reposted

Q: B. D A 12 C Use example #1 to help you below #1 Point G is the centroid of AABC, segment BG = 6,…

A: Since G is centroid the line segment from G passes through midpoint of AC Since, AF=FC then FC=AF=12…

Q: Question 7 Compute the orthogonal projection of u'onto v. Use the square root symbol 'V where needed…

A:

Q: Which of the following correctly changes the integral rdrde from polar coordinates to rectangular…

A:

Q: Identify and sketch the solid figure that could be formed by the net.

A: 4. To identify the solid figure formed by the netof squares

Q: Find the centroid (î, ỹ) of the triangle with vertices at (0, 0), (1, 0), and (0, 9). x= y= Question…

A: Coordinates of the centroidx,y for a triangle with vertices x1,y1, x2,y2 and x3,y3 is given by:…

Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

A:

Q: 5.3.AP-5 In ADEF, C is the centroid. E If CM = 19, find DC and DM. DC = 38 units DM = units

A: Given CM = 19 units and C is the centroid

Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the…

A: When t=0 then point (13,7) and t=1 then point (-1,-9)

Q: For the cylinder shown in Figure 1, write the following expressions for the cylindrical face: a.…

A: Given a cylinder, we need to write different representations. a) Implicit representation: The centre…

Q: Write an equation of the tangent plane to the ellipsoid (a – 5)? + 4y? + 222 : М(5, 3, 1). = 38 at…

A:

Q: Question 1 Use polar coordinates to find the volume of the solid inside the cylinder x+y =9 and the…

A:

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. 2 b = -7…

A:

Q: Find the parametric equation of the line through a parallel to b, usingt as the parameter. -5 a = b=…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the length of the parametric curve defined over the given interval. A) B) 3 3 2 C) D) 1

A:

Q: n ADEF, C is the centroid. E FCM = 3, find DC and DM. M =Dunits !!

A:

Q: Point Q is the centroid of AABC. QF= 10 E C OA. 15 OB. 5

A: Please refer the attached image for complete solution.

Q: Question 15 Using the change of coordinate system, the integral (z² + y²) dydæ would then take the…

A: Here we have to change the coordinate system.

Q: Question 2: Calculate the coordinates of the centroid for composite shape given. 5cm 3cm r=2cm (0,0)…

A: The centroid of a right triangle is at h3,b3 with respect to the vertex with the right angle. Here,…

Q: . Calculate the projection of å along b and projection of b along å when: d = 3î + j – k , 5 = -21 –…

A:

Q: Chapter 5, Reserve Problem 5/054 Determine the coordinates of the centroid of the shaded area. 1.5"…

A: To determine the coordinates of the centroid of the given shaded region.

Q: Find a parametric representation for the lower half of the ellipsoid 5x² + 4y2 + z² = 1.

A:

Q: Find the image of (2, –2) after a counterclockwise (passive) rotation of the axes about the origin…

A:

Q: 7. Identify the surface for each of the following equations. (a) z =r (b) r² + =² = r' (c) p= 4 cos…

A: We to identify the surface for each of the following equations  a z = r2      consider x = r cosθ, y…

Q: Find the direct and opposite plane motions that map AB to ÁC where these three oints have the…

A:

Q: The figure to the right represents the Cartesian [(x, y)] plot of y y=f(x) y f(x). Use this graph to…

A:

Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = 4t – 2…

A: xt=4t-2 & yt=t-3 Now consider, x=4t-2⇒4t=x+2⇒t=x+24

Q: The standard equation of one dimensional wave equation is d'y d'yd'y a) Ox b) a c) a Ox d) None of…

A: The standard equation of one dimensional wave equation is given as follows. The answer is  (d) None…

Q: Derive Schrodinger wave equation from Cartesian coordinates into Spherical polar coordinates. 1 a 1…

A: To find: Schrodinger Wave Equation from cartesian into spherical polar co-ordinates 1r2∂∂rr2∂ψ∂r…

Q: If AB = 15 m, BC = 18 m and CA = 24 m, find the point %3D %3D %3D intersection of the angular…

A: As we konw angle bisector of triangle is incentre so we can find it by directlly formula

Q: Ex.9. An ellipsoid y2, z2 = 1 is surrounded by a luminous a? b2 ring x = 0, y2 + z² = a². Show that…

A:

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. 439 H 8…

A: We are given two vectors a and b  a=[-23], b=[-83] to find the equation of the line through a and…

Q: Find the projection of v = -7 onto the -2 e of R' given by the parametric equation e = tu, [-11

A: Introduction: The formula of projection of the vector v onto the vector u is given by the formula,…

Q: 9-47. Locate the centroid (T, y, 2) of the wire which is bent in the shape shown. 2 in. 2 in.- 4 in.

A:

Q: Given the vector T and a sphere with a 2m radius, calculate the circulation of T around the three…

A: Given: Let's calculate the circulation of T along the three pathways designated by segments 1, 2,…

Q: Identify the surface for each of the following equations. (a) z = r2 (b) r2 + z2 = r! (c) p= 4 cos…

A:

Q: Find a parametric representation = z(t) for the upper half of = Z Iz – 4+ 2i| = 3.

A: Given to represent parametrically z=zt for the upper half of  z-4+2i=3 Let z=x+iy Then the equation…

Q: Given the equation 9. z, zis from 0 to 5. Determine the y- coordinate of the centroid. 16

A: y co ordinate of centroid of region E with constant density  y=∫∫∫Eydv∫∫∫Edv

Q: 3. If G is the centroid of AACE, AG = 8, GF = 7, and BG = 5, find each missing measure. a) GD = b)…

A: Answer