Provide an appropriate response.If f(x) = 2x3 - 5x + 5, show that there is at least one value of c for which f(x) equals 

What will be an ideal response?


Notice that f(0) = 5 and f(1) = 2. As f is continuous on [0,1], the Intermediate Value Theorem implies that there is a number c such that 

Mathematics

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Evaluate the integral by using multiple substitutions. dt

A. -  + C
B.  + C
C.  + C
D. -  + C

Mathematics

Find the probability.A test consists of 10 true/false questions. To pass the test a student must answer at least 8 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

A. 0.989 B. 0.055 C. 0.044 D. 0.011

Mathematics

Solve the problem.Using the table below, what is the median travel range of the vehicles? Round to the nearest tenth.(All figures rounded to nearest tenth.)

A. 414.0 miles B. 412.2 miles C. 412.3 miles D. 415.4 miles

Mathematics

Find the domain of the rational expression.

A. {x|x is a real number and x ? 7} B. {x|x is a real number} C. {x|x is a real number and x ? 3} D. {x|x is a real number and x ? 3 and x ? 7}

Mathematics