Solve the problem.The following data represents the normal monthly precipitation for a certain city in California. Draw a scatter diagram of the data for one period. Find a sinusoidal function of the form  that fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram.

What will be an ideal response?


y = 3.14 sin (0.46x + 1.52) + 3.16

Mathematics

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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = x2 - 3, [0, 8], midpoint

A.

B.

C.

D.

Mathematics

Use the graph to estimate any solutions to the given equation on the interval cos2x = 

A.  ,  ,  , 
B.  , ? ,  
C.  ,  
D. 0, ?

Mathematics

Solve the problem.Suppose that f(x) = -x - 6 and g(x) = x - 14.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).

A. (a) x = 6; (b) x = 14; (c) x = 4 B. (a) x = -6; (b) x = -14; (c) x = 4 C. (a) x = -6; (b) x = 14; (c) x = -10 D. (a) x = -6; (b) x = 14; (c) x = 4

Mathematics

Perform the specified translation.The graph on the left is the graph of the function defined by y = f(x).  Sketch a graph of the function defined by the equation y = f(x) + 2. Describe the type of shift that was performed on the original graph.

A. A horizontal shift of the graph of y = f(x),
2 units to the left.

B. A vertical shift of the graph of y = f(x),
2 units upward.

C. A vertical shift of the graph of y = f(x),
2 units downward.

D. A horizontal shift of the graph of y = f(x),
2 units to the right.

Mathematics