Solve the problem.Use a graphing calculator to visualize the first 25 terms of the series4 -
+
-
+ ...What does the sequence of terms approach? Determine whether the infinite series converges or diverges. If the series converges, what value does it approach?
A. 0; Converges; 0
B. 1; Diverges
C. 0; Converges; e
D. 0; Converges; ?
Answer: D
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Find the surface area or volume.The region between the curve y = sinx, 0 ? x ? 1.2, and the x-axis is revolved about the x-axis to generate a solid. Use a table of integrals to find, to two decimal places, the volume of the solid generated.
A. 1.38 B. 1.43 C. 1.29 D. 1.35
Solve the problem.Find the points where the graph of the function have horizontal tangents.f(x) = x3 - 15x
A. (-, 10
), (
, -10
)
B. (-5, -50), (, 50)
C. (, -30
)
D. (-, 30
), (0,0), (
, -30
)
Find the exact value of the indicated trigonometric function of the angle ? in the figure. Rationalize the denominator where necessary.Find cos ?.
A.
B.
C.
D.
Using the horizontal-line test, determine whether the function is one-to-one.
A. one-to-one B. not one-to-one