The distance from (7,-8, 5) to yZ-plane is OA. 138 O B. 5 OC.8 OD. 89 O E. 7

Q: The value of , (Y)dA, where Ris triangular region with vertices (0,0), (-15,0) and (–15, 15) is ..…

A:

Q: Where M, N, and P are the midpoints of the sides of  triangle RST and C is the centroid of the…

A:

Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The…

A:

Q: s y? = x and y = |x|, in %3D

A:

Q: 12,454 Convert the sehenical co0idikates of the given point to rectangular points (3,%%, "/) C00

A:

Q: IL ^y,P ^z ] [P ^y,L ^z ] %3D ulgn O İhi O II

A: For complete solution please see below step.

Q: A plane P cuts sphere O in a circle that has diameter 20. If the diameterof the sphere is 30, how…

A: We have given that we have a plane P that cuts the sphere with center O having diameter 30 units  at…

Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: dCx,4)=\x=y?l, Y x, B, ZE R, b is a methic

A:

Q: thus. d the point on he sphere X+y?+=4 Selution:- ans.-

A: We use Lagrange Multiplayer method.

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

A:

Q: distance from vertex A to the centroid?

A: Answer: Given, ADis a median.andBC=1Q units15In A ADB,AB²= AD²+DB²GuseDB:BCDB2 २DB 102 2CADIS(…

Q: O is the midpoint of PC. P is located at (11,12) and O is located at (4,6). What is the location of…

A:

Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: %3D In circle H with mZGKJ = 27, find the mZGHJ. J

A:

Q: 14. R is the triangle with corners (0,0), (1,0), and (0,1); 8(x, y) = (x² + y +1)lb/in? %3D

A: Formula: Mass of a lamina determined by the region R with density function δx, y is: m=∫∫Rδx, y dA

Q: Find the midpoint OF the line seament given the FOllowing endpaints:(s,2)and(-u,1)

A:

Q: х2 — 9х + 14 у — 3 3

A: A quadrilateral has four straight sides .A pairs of opposite side are parallel then the…

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

A:

Q: find the area of triangle between V and W YA (1, 1, 1), V W

A:

Q: しt A and B be similar inrertiblo matricen Ghow that and B" are rimilar

A:

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: the centroid of triangle ABC is point p. point m is the midpoint of line BC, and MP= 252 cm. What is…

A: We have to solve the problem

Q: The length of the line segment described by (x,y,z)=(1,2,1) +t(-1,5,1)), where 0<t<5 is O a. 12.99 O…

A: If x=ft, y=gt and z=ht then length is, L=∫abdxdt2+dydt2+dzdt2dt

Q: Determine proj(ū onto v) given: a) ū =(4,8,2) and v = (1,4,6) %3D b) ū = 38 and = 66 , and the angle…

A:

Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

A:

Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

Q: O Let t- ,=<8, 4) and -8,4) and w = -6î - 2. Find: %3D a) ū + ☆ Caleulate the angle between i and T.

A: Given:

Q: What is the angle between the planes 3x + 2y + 4z = 4 and 3x -y+2z = 1 to the nearest degre %3D O…

A:

Q: What additional point is on plane RST? O R

A: Topic:- geometry

Q: Does AD lie in plane M?

A:

Q: Find the shortest and longest distance from the point (1,2, -1) to the sphere x2 + y? + z? = 24 %3D

A:

Q: The point B lies on the segment AC. Find the coordinates of B so that AB is 1/4 of AC.

A:

Q: The midpoint of AB is at (−3,−2). If ?=(−10,−7), find ?

A:

Q: Let D be the unit disc x^2+y^2≤25. Evaluate  ∬Dex^2+y^2dA=

A:

Q: Find the angle planes 3xx + z=land radans between the Sy +z=. in

A: We use dot product between Normal vectors of given planes to find angle between these two planes

Q: Compute the area of the triangle. T = = ||OP x oQ|| = |(36, -36, 36) || = II ト

A:

Q: 9. Name the figure that represents the two-dimensional cross section of the cylinder cut by the…

A: Given, A cylinder is cut by a plane  We have to name the figure that represents the two dimensional…

Q: B) Evaluate fLn z dz around the circle | z| = 2

A: Ln z has singularity at z = 0. But we cannot use residue theorem as Ln z has non isolated…

Q: 5. What is the angle between the planes 4x – 5z = 11 and 8x – 10z = 13? (0) (a) 0 (b) 프 (d) π

A: Given: To explain the correct option is given as,

Q: Consider the following figure. ARSTVW = W R Given: Find: S pentagon RSTVW with m<VRS = m/VSR = 60°,…

A:

Q: 2. Triangle RST with R(-2, 1), S(2, -7), T(-6,-11): k = 3/4, centered at (-2, -7) %3D

A: For the Given triangle, RST scaled R'S'T' is calculated as shown below

Q: Find the coordinates of point L on the triangle below after a translation using the rule: (z, y) – >…

A:

Q: (|F.dS, F = xz+ y° z,S is the hemisphere x² + y² +z? =36, z > 0.

A: Find double integration F•ds

Q: What is the midpoint of segment AB? Your answer: Es (8, 3) ines docx (4, 1.5) st: (-1, 2.5) Lines O…

A:

Q: the dis fance from Pla.y,z) to the origion o d and fe clis fance from Pto ACo.003) is de .writeian…

A:

Q: Classify the following as acute, right, obtuse, or not a triangle. 50, 120, 140 3D 3. V 21,32, 35…

A: For the Pythagorean Theorem, a2 + b2 = c2 then;   For an acute triangle, c2 &lt; a² + b², then…

Q: In the given figure, AD is a median, and the length of BC is 18 units. What is the distance from…

A: Consider the given triangle ∆ABC with AB=15, BC=18 and AD is the median from the vertex A to the…

Q: XE 2 Then 9 is, H-w Diso Disc 9:21 2 such That goo =zX, Sprove That. %3D 7. ctute

A: g:Z→Z such thatg(x)=2x For proving one-one/injective Let x1,x2∈Zg(x1)=g(x2)⇔2x1=2x2⇔x1=x2 So, g is…