Make a substitution to express the integrand as a rational function and then evaluate the integral.

Round the answer to four decimal places.


-0.931

Mathematics

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Solve the problem.Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 791. Find a linear function S(t), which fits this data, and which expresses score as a function of time.

A. S(t) = 3.8475t - 495.75 B. S(t) = -4.275t + 491.75 C. S(t) = 3.8475t + 495.75 D. S(t) = 4.275t + 491.75

Mathematics

Based on the figure, specify the given set in a simpler way.  

A. C
B.
C.  
D.   

Mathematics

Find the polar equation of the given rectangular equation.2x + 3y = 6

A. r = 
B. r = 
C. r = 
D. r = 

Mathematics

Solve.A triangle drawn on a map has sides of lengths 8.0 cm, 11 cm, and 13 cm. The shortest of the corresponding real-life distances is 97 km. Find the longest of the real-life distances. Round to the nearest unit.

A. 133 km B. 158 km C. 60 km D. 115 km

Mathematics