Which of the following transformations are linear? A. T(f(t))=f(3) from P5 to ℝ B. T(f(t))=8(f(t))2+6f(t) from C[infinity] to C[infinity] C. T(f(t))=f′(t)+8f(t) from C[infinity] to C[infinity] D. T(f(t))=f′(t)+7f(t)+4 from C[infinity] to C

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

Find the maximum value of p= 4x + 5y subject to the following constraints :

Factor and solve to find roots x squared -x - 90 =0