Consider the ordered bases B=((1,5),(0,1)) and C=((0,-1),(-3,4)) for the vector space R2. a. Find the transition matrix from C to the standard ordered basis E=((1,0),(0,1)).
b. Find the transition matrix from B to E.
c. Find the transition matrix from E to B.
d. Find the transition matrix from C to B
e. Find the coordinates of u=(?3,3) in the ordered basis B. Note that [u]B=TBE[u]E.
f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C=(-1,2).

What’s 8y+48 and factor each expression completely

The bolo cavern outside of vandalia is 421 ft below sea level. a little more than75 miles away. mt owens is 7295 feet above sea level. what is the difference in elevation between the bolo cavern and mt owens?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)