The distance from (4,-5, 10) to yZ-plane is O A.4 O B. 5 C. /141 OD.10 OE. 125

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

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Q: at is the name of the three-dimensional shape formed if points M and N remain fixed, while line…

A: Here we have to write the name of the three-dimensional shape formed if points M and N remain fixed,…

Q: that the équation /zr2/=/2+3i1 line and it distance %3D Flephe dents the guigen rem 26

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Q: O FIND THE レ-く,2,3> VOLUME oF TAE PARALLELEPIPED VECTURS WITH V = <4,10,87 w = <1,0,17 and AS ADJA…

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Q: 3. In circle J with <HLK = 37°, find %3D measure of minor are Hk

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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: let γ be the line segment joining 0 to 1+i. then the value of ∫γzdz is

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Q: If 0 is the acute angle between the planes x + y = 2 and x + y +2z = 6, then 2cos (e) = O 1 O 1 O 2…

A: Given equation of planes are x+y-2=0 and x+y+2z-6=0 Let Let A1 x + B1 y + C1z + D1 = 0 and A2x + B2y…

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

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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…

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Q: Sketch the triangle with vertices at the origin O, P = (3, 3, 0), and Q = (0, 3, 3), and compute its…

A: The area of the triangle using the cross products is defines as Area=12v×u Here, v is the vector…

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

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Q: The midpoint of AB is at (5, 0). If A = (4, 3), find B. B is:(

A: Consider the given information.

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

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Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

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

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Q: Find the divectional desivative of div (anadF) he point (1,1,2) in the direction of 3 2 at The -i+…

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Q: 9. If QS bisects ZPQT, MZSQT = (8x – 25), %3D measure. S T R

A: Please refer the attached image for complete solution.

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…

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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: What is the angle between 2a + 3y + z = 5 and x – ay + az = 7?

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

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

A: Topic:- geometry

Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

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Q: Find the naetan gularu coorndinates od the point (2,7/4, T) which is in sphanieal coonudinates,…

A: The given spherical coordinates of the vector are: (r,θ,ϕ)=2,π4,π⇒r=2, θ=π4, ϕ=π

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

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

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Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: Find the area of the parallelogram spanned by v = (1, 1, 1) and w = (0, 0, 2).

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Q: show that the points ACI,I,4), B(2,2,2), c (o,1,5) and D(1,0,5) coplanear (in the ave Same plane).

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Q: 19. In AGHJ, GH=8, HJ= 10, and mZG= 120. To the nearest tenth, what is %3D %3D mZJ?

A: The Sine rule: asinA=bsinB=csinC   Given: GH=8, HJ=10 &amp; m∠G=120°

Q: d. Find angle between planes 12x+15y–17z =96 and 19x –13y–15z = 69. %3D %3D

A: d. First let us discuss the how to find angle between two planes. If we find angle between the…

Q: If DE is not parallel to FG, what is DE? 23 F DE = [ %3D Submit

A: topic - isosceles trapezoid  non parallel sides of isosceles trapezoid are equal

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

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Q: ng actre za is a y points ere are allel line: em and

A: 1.a. Students who are good in Mathematics are smart.b. Josiah is good in mathematics then she is…

Q: F(x,y, z) = xi+ yj, and S is hemisphere z = V1– a² – y?

A: In this question, we find the flux across the surface by using a surface integral. flux=∫∫sF.Nds

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

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Q: In circle T own, m/RCE = 57° and mRE = 141°. Determine mBL. %3D %3D •T R O 27° 0.70.5° O 57° O 84°.…

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Q: uwhich regin [ind lies in first quadrant bounded afea in

A: We need to find area of the region lies in quadrant 1 bounded by v=3√u ,u axis and line v=u-2

Q: These figures are congruent. What is mE?

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Q: The midpoint of AB is at (−3,4). If A=(6,−3), find B.

A: The coordinates are ordered pairs with the x value listed first.The change in the x position is…

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

A: Find double integration F•ds

Q: The midpoint of AB is M(6, 1). If the coordinates of AA are (4, 8), what are the coordinates of BB?

A: M has coordinates (6,1) Coordinates of A =(4,8)

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

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

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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…