Fluid mechanics - 1/ water is flowing smoothly in a closed pipe system. At one point the speed of the water is 3.0m/s, while at another point 2m higher the speed is 5.0m/s. (a) if the pressure is 50kPa at the lower point, what is the pressure at the higher point? (b) What would the pressure at the upper point be if the water were to stop flowing and the pressure at the lower point were 40kPa? (c) ...

Fluid Mechanics - 6) A sewer 24 in. in diameter is made of concrete pipe for which the value of n may be taken as .014. The rate of slope is .0007, and the depth of the liquid is 18.0 in. what is the rate of discharge. 6.3 cfs., 5.1 cfs, 5.5 cfs, 4.2 cfs 7) The Reynolds number for liquid flowing in a pipe is 28,600. The friction factor f in the chezy-darcy formula is? .0243, .02...

computing areas and volumes using multiple integrals - Setting up and evaluating double and triple integrals to compute surface area and volumes of solids in 3-space.

Matrices; Reflection Matrices; Linear Transformation - From the cubics P3 to the fourth degree polynomials P4, what matrix represents multiplication by 2 + 3t? The columns of the 5 by 4 matrix A come from applying the transformation to each basis vector x1 = 1, x2 = t, x3 = t2, x4 = t3. Verify directly from c2 + s2 = 1 that the reflection matrices satisfy H2 = I. c = cosine s = sine Prov...

Linear Algebra: Linear transformation - attachment