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The base of a right cylinder is the circle in the xy-plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y-axis inclined at 600 to the xy-plane, as shown in the diagram.
(a) A rectangular slice ABCD is taken perpendicular to the base of the wedge at a distance x from the y-axis. If the slice is xδ thick, show that the volume of the slice is given by
(b) Explain why the volume of the wedge may be represented by dx Evaluate this integral, using calculus methods, to find the exact volume of the wedge.
Determine the matrix of transformation for the orthogonal projection onto the line L that passes through the origin and is in the direction Û=(3/13 , 4/13 , 12/13). Determine the r
Write a function that computes the product of two matrices, one of size m × n, and the other of size n × p. Test your function in a program that passes the following two matrices t
Determine the general solution to 2t 2 y'' + ty' - 3y = 0 It given that y (t) = t -1 is a solution. Solution Reduction of order needs that a solution already be iden
crystal ball pert
wha is intergration?
Equation for the given intervaks in the intervaks, giving ypout answer correct to 0.1 1.sin x = 0.8 0 2. cos x =-0.3 -180 3.4cos theta- cos theta=2 0 4. 10tan theta+3=0 0
236+2344+346=
One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv
1a.if the williams spend $385 a month on food what is their monthly income
Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse
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