Provide an appropriate response.Use the max-min inequality to show that if f is integrable and f(x) ? 0 on [a, b], then 

What will be an ideal response?


If f(x) ? 0 on [a, b], then max f ? 0. So  ? max f ? (b - a) ? 0.

Mathematics

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For the given polar equation, write an equivalent rectangular equation.r = 13

A. x2 + y2 = 13 B. (x + y)2 = 169 C. x + y = 13 D. x2 + y2 = 169

Mathematics

Write the converse, inverse, or contrapositive of the statement as requested.q ? (~p ? r)Contrapositive(Use one of De Morgan's laws)

A. (p ? ~r) ? ~q B. ~q ? (p ? ~r) C. q ? (p ? ~r) D. (~p ? r) ? q

Mathematics

Provide an appropriate response.Use a calculator to multiply, reduce answer to lowest terms and convert improper fractions to whole or mixed numbers:  

A.
B.
C.
D.

Mathematics

Provide an appropriate response.Identify the degree of the polynomial: 3x2 + x4 - 5x3

A. 1 B. 4 C. 3 D. 2

Mathematics