Solve.The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the function  What rainfall produces the maximum number of mosquitoes?

A. 3.5 in.
B. 49 in.
C. 7 in.
D. 0 in.


Answer: A

Mathematics

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Solve the given trigonometric equation analytically (using identities when necessary for exact values when possible) for values of x for 0 ? x < 2?.2 sin2 x = sin x

A.
B. 0, ?, 
C.
D.

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Write a system of inequalities whose solution set is the region shown.

A. y ? 0 x2 + y2 ? 16 B. y ? 0 x2 + y2 ? 16 C. y ? 0 x2 + y2 ? 16 D. y ? 0 x2 + y2 ? 16

Mathematics

Indicate whether the value of x shown is a solution of the given equation.x - 3.2 = 8, if x = 4.8

A. Yes B. No

Mathematics

The function  represents the value of the U.S. dollar in Indian rupees as a function of the time t in days. Find the average rates of change of  over the time intervals

data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__3.5_Derivatives_Numerical_and_Graphical_Viewpoints__media__021ddde2-b1ad-410e-b0b8-5762e2db41f7.PNG" style="vertical-align:middle;" />, where t is as indicated and , , , and  days. Hence, estimate (using ) the instantaneous rate of change of  at time .
?
Select your answer rounded to the nearest whole number.
?

A. 63
B. 69
C. 64
D. 67
E. 68

Mathematics