Find the derivative of the function at P0 in the direction of u.f(x, y, z) = tan-1 , P0(10, 0, 0),  u = 12i - 3j + 4k

A.
B.
C. - 
D.


Answer: C

Mathematics

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Solve the problem.A computer manufacturer has three outlet stores that sell its four computer systems. The following table shows the numbers of systems sold by the three stores in July.  The prices of the systems are: $1200 for System 1, $1500 for System 2, $1600 for System 3, and $2100 for System 4. Write the information from the table as a 4 x 3 matrix B. Write a row matrix A for which the entries represent the prices for the systems. If C = AB, find c11 . What does this entry of C represent?

A. c11 = 153,000. c11 represents the sales of System 2 at all stores in July. B. c11 = 173,000. c11 represents the total sales at Store 3 in July. C. c11 = 163,000. c11 represents the total sales at Store 1 in July. D. c11 = 185,000. c11 represents the total sales at Store 1 in July.

Mathematics

Find the area of the trapezoid.

A. A = 345 cm2 B. A = 45 cm2 C. A = 161 cm2 D. A = 225 cm2

Mathematics

Find the mean. Round to the nearest tenth when necessary.The numbers of miles John ran over the last six days were as follows: 6, 5, 9, 4, 13, 10

A. Mean = 7.8 miles B. Mean = 9.4 miles C. Mean = 6.3 miles D. Mean = 8.3 miles

Mathematics

Solve the equation using the zero-product property.x2 + 3x - 18 = 0

A. {-6, 3} B. {3, 6} C. {-3, 6} D. {-6, -3}

Mathematics