Find the formula and limit as requested.For the function f(x) = 5x + 3, find a formula for the upper sum obtained by dividing the interval [0, 3] into n equal subintervals. Then take the limit as n?? to calculate the area under the curve over [0, 3].

A. 9 - ; Area = - 
B. 9 + ; Area = 
C. 9 + ; Area = 
D. 9 + ; Area = 


Answer: C

Mathematics

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Provide an appropriate response.Imagine there is a function for which f'(x) = 0 for all x. Does such a function exist? Is it reasonable to say that all values of x are critical points for such a function? Is it reasonable to say that all values of x are extreme values for such a function. Give reasons for your answer.

What will be an ideal response?

Mathematics

Find the prime factorization of each composite number. Use exponents to show any repeated prime factors.612

A. 34 ? 17 B. 24 ? 17 C. 23 ? 32 ? 17 D. 22 ? 32 ? 17

Mathematics

Divide and simplify. ÷ 

A. - 
B. - 
C.
D.

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Find the length of the arc on the circle of radius r meters intercepted by a central angle ?. Round your answer to three decimal places.r = 5, ? = 35°

A. 3.054 m B. 2.749 m C. 3.359 m D. 2.443 m

Mathematics