Find displacement vector between boat-base of light house


1) Determine the smallest positive solution to cos^4 theta - sin^4 theta = 1/6

2) The boat in ocean at point (31, 52, 0) is looking at light on the lighthouse at point (31,0,16). Light house is 2 units high, and sits at edge of the cliff above ocean. The displacement vector between boat and base of light house is?

3) Cannon is fired at the 15 degrees angle with ground at the speed of 83 ft/sec resolve velocity vector into horizontal vertical components

4) Convert polar equation r= 7sin theta to the cartesian equation

5) Convert r= 5cos (theta) + 5sin (theta) to rectangular coordinates, categorize graph if possible

6) v and w are vectors, express the following -2(3v+6w)-(-4v-6w).

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Mathematics: Find displacement vector between boat-base of light house
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