Consider the series
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.
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Determine whether the geometric series converges or diverges.
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If it converges, find its sum.
What will be an ideal response?
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Find the derivative of the function.f(t) = (6 - t)(6 + t3)-1
A. f '(t) =
B. f '(t) =
C. f '(t) =
D. f '(t) =
It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in of the caves by the equation
S = 0.7A03
(a) The cave called mission impossible near puebla, mexico, has suface area of A=90m2.
How many species of bats would expect to find in that cave?
(b) If you discover that 5 species of bats live in cave estimate the area of the cave.
Graph. Label any intercepts and determine the slope of the line. If the slope is undefined, state this.x = 6
A. x-intercept: (0, 6), m: 0
B. x-intercept: (0, 0), m: 6
C. x-intercept: (6, 0), m: undefined
D. x-intercept: (6, 0), m:
Use the line graph to answer the question.Beginning with 1984, Lisa purchased a car every four years. The line graph illustrates the average fuel mileage in miles per gallon for each car. Between which two consecutive purchases did the greatest increase occur?
A. 1992 to 1996 B. 1984 to 1988 C. It is not possible to answer this question using the line graph. D. 1996 to 2000