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Correct Find the value of the following function at x = 5 and x = 6. Does the Intermediate Value Theorem guarantee that the func

Correct Find the value of the following function at x = 5 and x = 6. Does the Intermediate Value Theorem guarantee that the function has a real zero between these two X- values? f(x) = -x + 5x2 + 6x + 9 Answer Keypad Keyboard Shortcuts f(5) = f(0) = Does the intermediate Value Theorem guarantee that there is a real zero between 5 and 6? YES NO

Correct Find the value of the following function at x = 5 and x = 6. Does the Intermediate Value Theorem guarantee that the function has a real zero between these two X- values? f(x) = -x + 5x2 + 6x + 9 Answer Keypad Keyboard Shortcuts f(5) = f(0) = Does the intermediate Value Theorem guarantee that there is a real zero between 5 and 6? YES NO

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Use mathematical induction to prove the statement for all positive integers n. 2 + 14 +26+ ... + (12n - 10) = n(6-4) What is the first step in a mathematical induction proof? O A. Show that S, is true. B. Show that So is true. O C. Show that Sk is true. OD

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Use mathematical induction to prove the statement for all positive integers n. 2 + 14 +26+ ... + (12n - 10) = n(6-4) What is the first step in a mathematical induction proof? O A. Show that S, is true. B. Show that So is true. O C. Show that Sk is true. OD. Show that Sk+1 is true. Show that 2 + 14 + 26 + ... + (12n - 10) = n(6n - 4) for n= 1. Write the statements 2= (Do not simplify.) 5 Simplify S, on the right. 10 :5 2-0 Is S, a true statement?

4. Prove that any Möbius transformation can be written in a form with determinant 1, and that this form is unique up to sign. Hint How does the determinant of T(z) = (az +b)/(cz + d) change if we multiply top and bottom of the map by some constant k?

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4. Prove that any Möbius transformation can be written in a form with determinant 1, and that this form is unique up to sign. Hint How does the determinant of T(z) = (az +b)/(cz + d) change if we multiply top and bottom of the map by some constant k?

Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p2 - 1 is even. Counterexample: Consider the ordered pair (p, p2 - 1) = The values in the ordered pair show that the given statement is false because (choo

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Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p2 - 1 is even. Counterexample: Consider the ordered pair (p, p2 - 1) = The values in the ordered pair show that the given statement is false because (choose one) O p is prime and p2 - 1 is even. 1 O p is prime and p? - 1 is not even. O p is not prime and p2 - 1 is even. O p is not prime and p? - 1 is not even.