Find the mass of the wire that lies along the curve r and has density ?.r(t) = 10i + (7 - 3t)j + 4tk, 0 ? t ? 2? ; ? = 4(1 + sin 4t)

A. 40? units
B. 8? units
C. 10 + 40? units
D. 20 + 40? units


Answer: A

Mathematics

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Write the augmented matrix for the system. 9x + 7y + 4z =  -5 6x + 5y + 2z =  -7 6x + 9y + 4z =  -1

A.
B.
C.
D.

Mathematics

Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor B antigen is present, the letter O is used. The presence or absence of the Rh antigen is indicated by the symbols + or -, respectively. Thus, if a blood specimen is classified as AB+, it contains the A and the B antigens as well as the Rh antigen. Similarly, O- blood contains none of the three antigens.

Using this information, determine the sample space corresponding to the different blood groups.

Mathematics