It took 20000 people 20 years to build taj Mahal each worker works at the same rate how long would it have taken for 8000 workers to build the taj Mahal

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

Xtax=1. determine their canon- 1. write the following quadratic forms as v(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical coordinates (y1, 2, y3) in terms of the original coordinates (x1, x2, x3). state what surfaces these quadratic forms correspond to: = > (a) -a x + 4x12 4x1x38x231; (b) 3-33 + 4xrj224x3122a3= 1; (c) 4a7 2x1 2x1x36x2a3 = 1. 2. solve the following systems of differential equations using the matrix exponential technique 3x 4 (a) x(0) = 5, y(0) = 1; 4x-3y 3.x y(0) = 9, y(0) = 3; -2x 6x2y

Find the y-intercept of the following equation. simplify your answer. y = 5 x + 7 9 y-intercept =