Find the slope of a line tangent to the given curve at the point P by finding the limit of the slopes of the secant lines PQ as Q approaches P.y = 6x2 - 3; P is (6, 213); let Q have x-values of 5.5, 5.9, 5.99, 5.999
A. Slopes: 66, 68.4, 68.94, 68.994
m = 69
B. Slopes: 9, 11.4, 11.94, 11.994
m = 12
C. Slopes: 69, 71.4, 71.94, 71.994
m = 72
D. Slopes: 33, 35.4, 35.94, 35.994
m = 36
Answer: C
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Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.
A. < 1.98 × 10-2
B. < 1.15 × 10-3
C. < 4.48 × 10-3
D. < 1.80 × 10-3
Find the limit, if it exists.
A.
B. 19x
C. Does not exist
D.
Identify the sequence as arithmetic, geometric, or neither.4, -4, 5, -5, 6, -6, . . .
A. Arithmetic B. Geometric C. Neither
Solve.Jane wants to buy a photocopier. The salesperson has the following information on 3 models. If all 3 are used, a specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one-half the job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three-fifths of the job is done. Which is the fastest copier, and how long does it take for this copier to finish the whole job?
A. C is fastest; 100 min B. B is fastest; 100 min C. C is fastest; 120 min D. A is fastest; 120 min