Determine the coordinates of the points shown. Tell in which quadrant the point lies. Assume the coordinates are integers.

A. (1, 3); quadrant II
B. (1, 6); quadrant II
C. (1, 6); quadrant I
D. (1, 3); quadrant I


Answer: C

Mathematics

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An electronics company has strict specifications for silicon chips used in computers. The company will only install chips that are within 0.06 centimeters of the specified thickness. If the thickness specification of the chip type is 0.969 cm, find the lower and upper limit for the acceptable range of thickness of the chips. 

A. The lower limit is 0.909 cm and the upper is 1.029 cm. B. The lower limit is 0.919 cm and the upper is 1.028 cm. C. The lower limit is 1.01 cm and the upper is 1.028 cm. D. The lower limit is 0.909 cm and the upper is 1.039 cm. E. The lower limit is 0.91 cm and the upper is 1.029 cm.

Mathematics

Use the vectors u, v, w, and z head to tail as needed to sketch the indicated vector.  2u - z - w 

A.

B.

C.

D.

Mathematics

Find the limit.

A.
B.
C. 35
D. No limit

Mathematics

Find the Jacobian for the given transformation.   

A. 4500 B. 100 C. 45 D. -100

Mathematics