Provide an appropriate response.The velocity of an object is given by V(t) = , where t is the time in seconds and V(t) is the speed in feet/sec. Use n = 6 and the trapezoidal rule to approximate  the distance moved over the interval .

Fill in the blank(s) with the appropriate word(s).


3.95 feet

Mathematics

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Solve.If the population of a certain country doubles in 9.00 years, find the growth rate k. Assume that the population increases exponentially.

A. 3.1% B. 7.7% C. 5.7% D. 8.2%

Mathematics

Solve the problem.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. By using linear regression, the following function is obtained:  where x is entering GPA and y is current GPA. Use this function to predict current GPA of a student whose entering GPA is 3.4.   Entering GPA Current GPA  3.53.53.53.83.83.73.63.83.73.53.83.93.53.73.83.63.63.83.73.8

A. 3.68 B. 3.58 C. 3.29 D. 3.40

Mathematics

Find the derivative.y = 

A. sec2 x  
B. sec x tan3/2 x
C.  
D.  tan3/2 x

Mathematics

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) = 9x4 + 9x3 - 8x2 + 9

A. Degree: 4; leading coefficient: 9 B. Degree: 9; leading coefficient: -8 C. Degree: 3; leading coefficient: 9 D. Not a polynomial function.

Mathematics