Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(1) = 1, sketch the graph of f. Explain how you obtained the graph of f. 

What will be an ideal response?


Graphs and explanations will vary to some degree. The graph of f should look similar to the following.


Mathematics

You might also like to view...

Find all the first order partial derivatives for the following function.f(x, y) = sin2 (-8xy2 - y)

A.  = 2sin (-8xy2 - y) cos (-8xy2 - y);  = 2sin(-8xy2 - y) cos(-8xy2 - y)
B.  = 2sin (-8xy2 - y) cos (-8xy2 - y);  = (-32x - 2) sin (-8xy2 - y) cos (-8xy2 - y)
C.  = -16y2sin (-8xy2 - y) cos (-8xy2 - y);  = (-32xy - 2) sin (-8xy2 - y) cos (-8xy2 - y)
D.  = -16y2sin (-8xy2 - y) cos (-8xy2 - y);  = 2sin (-8xy2 - y) cos (-8xy2 - y)

Mathematics

Find the indicated term for the geometric sequence with first term, a1, and common ratio, r.Find a4, when a1 = 3, r = 2.

A. 18 B. 24 C. 48 D. 8

Mathematics

Solve.The height of a golf ball in feet after t seconds is given by 128t - 16t2. Factor this expression.

A. 16t2(8 - t) B. 16t(8 - t) C. 16(8t - t2) D. 4t(32 - 4t)

Mathematics

Solve the problem.The table shows the population of a certain city in various different years. Use regression to find values for a and b so that f(x) = axb models this data, where x represents the number of years since 1990 and f(x) is the population of the city in hundreds of thousands. Round your answers to 4 decimal places.

A. a ? 1.8506, b ? 0.5121 B. a ? 1.7025, b ? 0.5375 C. a ? 2.1375, b ? 0.4432 D. a ? 2.6352, b ? 0.4756

Mathematics