Suppose a change of coordinates t: r2→r2 from the uv-plane to the xy-plane is given by x=4v−2u−3, y=−1+5u+4v.

(a) find the absolute value of the determinant of the jacobian for this change of coordinates. ∣∣∂(x, y)/∂(u, v)∣∣= ∣det |=

(b) if a region d∗ in the uv-plane has area 7.04, find the area of the region t(d∗) in the xy-plane. area =

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Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

Kira looked through online census information to determine the overage number of people living in the homes in her city what is true about kira's data collection?