Hiw.2 Censider the PakullelePifed with šider: A=3i+2j+k Bziti+zkyczi+sj+3k;. thens t-Find the Volume-of the faralletefiped Find the area fthefacedetermined by Aand B. angle betweenthe Vector c and the plane containingthe face determined by A andB- 2- 3-Find the

Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by…

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Q: Evaluate + y?)dr – 2rydy if C is the contour limited by y = VT, y = x2.

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Q: 8 D Q Q 2x cm 10 cm x сm A 10 cm The above diagram shows a square ABCD of side 10 cm. The points P…

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Q: Find the highest and lowest point of the surface z2 = x2 + y2 ,on the plane 4x – 3y + 8z = 10 %3D…

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Q: Find the area of a rhombus in terms of its diagonals d1 and d2. Show your work. You may find…

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Q: Interpreting as area, Sº3 V9 – a² dæpresents A. Area of a quadrant of the circle with center at the…

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Q: W D 1. Find the surface area of the sphere. r-13 in O 6767 in? 2, 197T in? 169x in? 8,7887 in2

A: Surface area of a sphere of radius r is given by          A = 4πr2  Given radius of sphere r = 13in

Q: Consider the right circular cone with radius r and height h. In this problem you will show that the…

A: We will use disk/ ring method to find volume for solid of revolution

Q: over the trianguar region whise verhces am (,9) , u,0) and (o,1) . are

A: Given that

Q: Quadric Surfaces: Identify first the type of three-dimensional surface and sketch. a.x = y² - 6z² b.…

A: We have to define the quadratic surface and sketch it.

Q: A space has the line element, ds? = v*du? +u*dv² . Determine whether this space is flat or curved.

A: It is given that the line element ds2=v2du2+u2dv2. it is required to determine that whether this…

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: Find the distance from the point S(5, -9,6) to the plane 2x+ 10y + 11z = -10 4. O A. 225 52 B. 5 4…

A: Given:  S(5,-9,6)  And equation of plane is  2x+10y+11z+10=0

Q: Describe the intersection of the horizontal plane z = h and thehyperboloid −x 2− 4y 2 + 4z 2 = 1.…

A: Put z=h in given equation -x2-4y2+4h2=1⇒x2+4y2-4h2=-1

Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: A hemisphere of x? + y? + z2 = a? is shown. A cylinder is placed such the axis of both hemisphere…

A: Surface area is given by ∬D∂z∂x2+∂z∂y2+1dA for a functionz=f(x,y) where D is the projection of the…

Q: Which of the following are suspaces of 1 2 1 R4 whereu , v = 1 -1] Select one or more: A. {w; w. v =…

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Q: in R?, Hi= Sp{ (1,-,0)} %3D Hy= Sp {12900} (2,3, a) Hi + Hq=? b) H, +Hg=? c) H, tth tHg=?

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Q: What sort of surface is represented by the equation r = 2? Circle ) Hyperbolic Paraboloid Cone O…

A: which surface we can represent by radius that sort of surface :

Q: Which of the following is a non-orientable surface? O a. all the other choices are orientable O b.…

A: orientable surface -  The surface for which we can define clockwise consistently.